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Mat II

Beschreibung

Quiz am Mat II, erstellt von hoffa HOFFMAN am 27/12/2019.
hoffa HOFFMAN
Quiz von hoffa HOFFMAN, aktualisiert more than 1 year ago
hoffa HOFFMAN
Erstellt von hoffa HOFFMAN vor fast 5 Jahre
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Zusammenfassung der Ressource

Frage 1

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41. A set of families has the following distribution on number of children: x1, x2 Determine , if it is known that M(x) = 2 D(x) =1.2 ?
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Antworten
  • a
  • b
  • c
  • d
  • e

Frage 2

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42. The lifetime of a machine part has a continuous distribution on the interval (0, 30) with probability density function Calculate the probability that the lifetime of the machine part is less than 6.
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Antworten
  • 30/53
  • 1/2
  • 31/35
  • 13/28
  • 1/17

Frage 3

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43. The lifetime of a machine part has a continuous distribution on the interval (0, 11) with probability density function Calculate the probability that the lifteime of the machine part is less than 5.
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15 (binary/octet-stream)
Antworten
  • 1/17
  • 7/20
  • 10/11
  • 19/35
  • 7/11

Frage 4

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44. A random variable X is given by the density function of distribution:n Find the integral function of distribution of the random variable X?
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Antworten

Frage 5

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45. A random variable X is given by the density function of distribution: Find the integral function of distribution of the random variable X?
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Antworten

Frage 6

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47. A random variable X is given by the integral function of distribution: Find the mathematical expectation of the random variable X?
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Antworten
  • 15/4
  • 5
  • 5/2
  • 3/4
  • 1

Frage 7

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49. A random variable X is given by the integral function of distribution: If , then find the dispersion of the random variable X?
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Antworten
  • 1/3
  • 1
  • 0
  • 3/4
  • -2/3

Frage 8

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51. The lifetime in hours of a certain kind of radio tube is a random variable having a probability density function given by: What is the probability that exactly 1 of 5 such tubes in a radio set will have to be replaced within the first 150 hours of operation?
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Antworten
  • 80/243
  • 40/243
  • 0
  • 160/243
  • 1/3

Frage 9

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52. The lifetime in hours of a certain kind of radio tube is a random variable having a probability density function given by: What is the probability that exactly 3 of 5 such tubes in a radio set will have to be replaced within the first 150 hours of operation?
Antworten
  • 80/243
  • 40/243
  • 0
  • 160/243
  • 1/3

Frage 10

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53. A random variable X is given by the integral function of distribution: Find the probability that random variable takes the values on .
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Antworten
  • 117/125
  • 208/125
  • 63/125
  • 113/125
  • 1/5

Frage 11

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54. A random variable X is given by the density function of distribution: Find the value of C?
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Antworten
  • 2
  • -1
  • 1
  • 3
  • -3

Frage 12

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56. A discrete random variable X is given by the following law of distribution: By using the Chebyshev inequality estimate the probability that |X – M(X)| > 3.
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Antworten
  • 1
  • 2/3
  • 1/6
  • 1/4
  • -1/2

Frage 13

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57. A discrete random variable X is given by the following law of distribution: By using the Chebyshev inequality estimate the probability that |X – M(X)| > 3.
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1 (binary/octet-stream)
Antworten
  • 1
  • 2/3
  • 1/6
  • 1/4
  • -1/2

Frage 14

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58. A discrete random variable X is given by the following law of distribution: By using the Chebyshev inequality estimate the probability that |X – M(X)| > 3.
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1 (binary/octet-stream)
Antworten
  • 1
  • 2/3
  • 1/6
  • 1/4
  • -1/2

Frage 15

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59. A discrete random variable X is given by the following law of distribution: By using the Chebyshev inequality estimate the probability that |X – M(X)| < 1.
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Antworten
  • 1
  • 2/3
  • 1/6
  • 1/4
  • -1/2

Frage 16

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60. A discrete random variable X is given by the following law of distribution: By using the Chebyshev inequality estimate the probability that |X – M(X)| > 1.
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3 (binary/octet-stream)
Antworten
  • 1
  • 2/3
  • 1/6
  • 1/4
  • -1/2

Frage 17

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61. A discrete random variable X is given by the following law of distribution: By using the Chebyshev inequality estimate the probability that |X – M(X)| > 2.
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Antworten
  • 1
  • 2/3
  • 1/6
  • 1/4
  • -1/2

Frage 18

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62. A discrete random variable X is given by the following law of distribution: By using the Chebyshev inequality estimate the probability that |X – M(X)| > 3.
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5 (binary/octet-stream)
Antworten
  • 1
  • 2/3
  • 1/6
  • 1/4
  • -1/2

Frage 19

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63. A discrete random variable X is given by the following law of distribution: By using the Chebyshev inequality estimate the probability that |X – M(X)| > 5.
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Antworten
  • 1
  • 2/3
  • 1/6
  • 1/4
  • -1/2

Frage 20

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64. A discrete random variable X is given by the following law of distribution: By using the Chebyshev inequality estimate the probability that |X – M(X)| > 4.
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Antworten
  • 1
  • 2/3
  • 1/6
  • 1/4
  • -1/2

Frage 21

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65. A discrete random variable X is given by the following law of distribution: By using the Chebyshev inequality estimate the probability that |X – M(X)| < 4.
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Antworten
  • 1
  • 2/3
  • 1/6
  • 1/4
  • -1/2

Frage 22

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66. The probability that a shooter will beat out 10 aces at one shot is equal to 0.1 and the probability to beat out 9 aces is equal to 0.3. Choose the correctly calculated probabilities of the events.
Antworten
  • P(beat out more than 8 aces) = 0.5
  • P(beat out more than 10 aces) = 0.2
  • P(beat out 9 or less aces) = 0.9
  • P(beat out 9 or less aces) = 0.3
  • P(beat out 9 or more aces) = 0.3

Frage 23

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69. Three students pass an exam. Let be the event «the exam will be passed on “excellent” by the i-th student» (i = 1, 2, 3). Which of the following events correctly expressed by and their negations?
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Antworten
  • 1
  • 2
  • 3
  • 4
  • 5

Frage 24

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71. A random variable X is given by the integral function of distribution: What does this tell us about the random variable X? More than one option may be correct.
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Antworten
  • M (X) = 10
  • D(X) = 1/2
  • P (10 < X < 15) = 1/2
  • P (X < 0) = 0
  • M (X) = 3/10

Frage 25

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74. The probability that a shooter hit in a target at one shot is equal to 0.8. The shooter has made 3 shots. Choose the correctly calculated probabilities of the events.
Antworten
  • P(at least 1 of 3 shots will strike the target)=0.384
  • P(at least 1 of 3 shots will strike the target)=0.992
  • P(at least 2 of 3 shots will not strike the target)=0.189
  • P(at least 2 of 3 shots will strike the target)=0.845
  • P(neither of 3 shots will strike the target)=0.8

Frage 26

Frage
78. The probability to receive high dividends under shares at the first enterprise – 0.2, on the second – 0.35, on the third – 0.15. Choose the correctly calculated probabilities that a shareholder having shares of all the enterprises will receive high dividends.
Antworten
  • P(at least on two enterprises) = 0.1315
  • P(exactly on two enterprises) = 0.4214
  • P(only at one enterprise) = 0.7
  • P(at least on one enterprise) = 0.4265
  • P(exactly on three enterprises) = 0.105

Frage 27

Frage
79. The probability to receive high dividends under shares at the first enterprise – 0.2, on the second – 0.2, on the third – 0.3. Choose the correctly calculated probabilities that a shareholder having shares of all the enterprises will receive high dividends.
Antworten
  • P(only at one enterprise)=0.416
  • P(only at one enterprise)=0.7
  • P(at least on one enterprise)=0.426
  • P(at least on two enterprises)=0.354
  • P(exactly on three enterprises)=0.105

Frage 28

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80. The first brigade has 6 tractors, and the second – 9. One tractor demands repair in each brigade. A tractor is chosen at random from each brigade. Choose the correctly calculated probabilities of events.
Antworten
  • P(both chosen tractors demands repair)=1/54
  • P(one of the chosen tractors demands repair)=0.5
  • P(both chosen tractors demands repair)=0
  • P(both chosen tractors demands repair)=1/27
  • P(both chosen tractors are serviceable)=13/15

Frage 29

Frage
81. The first brigade has 5 tractors, and the second – 8. One tractor demands repair in each brigade. A tractor is chosen at random from each brigade. Choose the correctly calculated probabilities of events.
Antworten
  • P(one of the chosen tractors demands repair)=11/40
  • P(one of the chosen tractors demands repair)=7/40
  • P(both chosen tractors demands repair)=1/20
  • P(both chosen tractors demands repair)=1/2
  • P(both chosen tractors are serviceable)=1/3

Frage 30

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82. All of the letters that spell STUDENT are put into a bag. Choose the correctly calculated probabilities of events.
Antworten
  • P(drawing a S, and then drawing a T)=1/21
  • P(drawing a T, and then drawing a D)=1/42
  • P(selecting a vowel, and then drawing a U)=1/42
  • P(selecting a vowel, and then drawing a K)=1/42
  • P(selecting a vowel, and then drawing a T)=3/42

Frage 31

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83. All of the letters that spell MISSISSIPPI are put into a bag. Choose the correctly calculated probabilities of events.
Antworten
  • P(of selecting a vowel, and then after returning the letter also drawing a M)=4/121
  • P(of drawing an I, and then after returning the letter also drawing a M)=3/121
  • P(of selecting a vowel, and then after returning the letter also drawing an O)=4/121
  • P(of selecting a vowel, and then after returning the letter also drawing a P)=6/121
  • P(of drawing a M, and then after returning the letter also drawing a S)=1/121

Frage 32

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84. The first brigade has tractors n , and the second m . One tractor demands repair in each brigade. A tractor is chosen at random from each brigade. Choose the correctly calculated probabilities of events.
Antworten
  • n=3, m=5, P(both chosen tractors demands repair)=1/15
  • n=3, m=6, P(one of the chosen tractors demands repair)=7/12
  • n=2, m=5, P(both chosen tractors demands repair)=0.3
  • n=2, m=3, P(both chosen tractors demands repair)=1/3
  • n=5, m=2, P(both chosen tractors are serviceable)=0.2

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85. A jar of marbles contains 4 blue marbles, 5 red marbles, 1 green marble, and 2 black marbles. A marble is chosen at random from the jar. After returning it again, a second marble is chosen. Choose the correctly calculated probabilities of events.
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Antworten
  • P(green, and then red)=5/144
  • P(black, and then black)=1/12
  • P(red, and then black)=7/72
  • P(green, and then blue)=1/72
  • P(blue, and then blue)=1/6

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86. If each of the regions in each spinner is the same size. Choose the correctly calculated probabilities of spinning each spinner.
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Antworten
  • P(getting a red sweater)=1/12
  • P(getting a white sweatshirt)=1/6
  • P(getting a white sweater)=5/12
  • P(getting a blue sweatshirt)=7/12
  • P(getting a blue t-shirt)=1/6

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88. Mary is playing a game in which she rolls one die and spins a spinner. Choose the correctly calculated probabilities of spinning each spinner.
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Antworten
  • P(get the 1 and green)=0
  • P(get the 7 and red)=1/18
  • P(get the 3 and green)=1/18
  • P(get the 2 and black)=1/4
  • P(get the 1 and white)=1

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90. Find the Bernoulli formula.
Antworten

Frage 37

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92. A coming up a grain stored in a warehouse is equal to 50%. What is the probability that the number of came up grains among 100 ones will make from up to pieces (a grain – зерно)?
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Antworten
  • 1
  • 2
  • 3
  • 4
  • 5

Frage 38

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93. The probability of striking a target by a shooter at one shot is equal to 3/4 . Find the probability P that at 100 shots the target will be struck no less than a and no more b times.
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Antworten
  • 1
  • 2
  • 3
  • 4
  • 5

Frage 39

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94. The probability of striking a target by a shooter at one shot is equal to 1/4. Find the probability P that at 100 shots the target will be struck no less than a and no more b times.
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Antworten
  • 1
  • 2
  • 3
  • 4
  • 5

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95. Find approximately the probability that an event will happen exactly from a to b times at 400 trials if in each trial the probability of its occurrence is equal to 0.2.
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Antworten
  • 1
  • 2
  • 3
  • 4
  • 5

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96. Find approximately the probability that an event will happen exactly from a to b times at 484 trials if in each trial the probability of its occurrence is equal to 0.5.
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Antworten
  • 1
  • 2
  • 3
  • 4
  • 5

Frage 42

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97. A factory has sent 2500 good-quality products. The probability that one product has been damaged at a transportation is 1/5 . Find the probability P that at the transportation it will be damaged from to products.
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Antworten
  • 1
  • 2
  • 3
  • 4
  • 5
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