20508200
Descripción
Test por hoffa HOFFMAN, actualizado hace más de 1 año
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Creado por hoffa HOFFMAN
hace más de 4 años
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Pregunta 1
Pregunta
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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14 (binary/octet-stream)
Respuesta
-
a
-
b
-
c
-
d
-
e
Pregunta 2
Pregunta
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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15 (binary/octet-stream)
Respuesta
-
30/53
-
1/2
-
31/35
-
13/28
-
1/17
Pregunta 3
Pregunta
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)
Respuesta
-
1/17
-
7/20
-
10/11
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19/35
-
7/11
Pregunta 4
Pregunta
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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16 (binary/octet-stream)
Respuesta
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Image:17 (binary/octet-stream)
-
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-
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-
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Pregunta 5
Pregunta
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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1 (binary/octet-stream)
Respuesta
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Image:27 (binary/octet-stream)
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-
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Pregunta 6
Pregunta
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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30 (binary/octet-stream)
Respuesta
-
15/4
-
5
-
5/2
-
3/4
-
1
Pregunta 7
Pregunta
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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31 (binary/octet-stream)
Respuesta
-
1/3
-
1
-
0
-
3/4
-
-2/3
Pregunta 8
Pregunta
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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32 (binary/octet-stream)
Respuesta
-
80/243
-
40/243
-
0
-
160/243
-
1/3
Pregunta 9
Pregunta
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?
Respuesta
-
80/243
-
40/243
-
0
-
160/243
-
1/3
Pregunta 10
Pregunta
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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33 (binary/octet-stream)
Respuesta
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117/125
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208/125
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63/125
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113/125
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1/5
Pregunta 11
Pregunta
54. A random variable X is given by the density function of distribution:
Find the value of C?
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34 (binary/octet-stream)
Respuesta
-
2
-
-1
-
1
-
3
-
-3
Pregunta 12
Pregunta
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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34 (binary/octet-stream)
Respuesta
-
1
-
2/3
-
1/6
-
1/4
-
-1/2
Pregunta 13
Pregunta
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)
Respuesta
-
1
-
2/3
-
1/6
-
1/4
-
-1/2
Pregunta 14
Pregunta
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)
Respuesta
-
1
-
2/3
-
1/6
-
1/4
-
-1/2
Pregunta 15
Pregunta
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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2 (binary/octet-stream)
Respuesta
-
1
-
2/3
-
1/6
-
1/4
-
-1/2
Pregunta 16
Pregunta
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)
Respuesta
-
1
-
2/3
-
1/6
-
1/4
-
-1/2
Pregunta 17
Pregunta
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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4 (binary/octet-stream)
Respuesta
-
1
-
2/3
-
1/6
-
1/4
-
-1/2
Pregunta 18
Pregunta
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.
Image:
5 (binary/octet-stream)
Respuesta
-
1
-
2/3
-
1/6
-
1/4
-
-1/2
Pregunta 19
Pregunta
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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6 (binary/octet-stream)
Respuesta
-
1
-
2/3
-
1/6
-
1/4
-
-1/2
Pregunta 20
Pregunta
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.
Image:
7 (binary/octet-stream)
Respuesta
-
1
-
2/3
-
1/6
-
1/4
-
-1/2
Pregunta 21
Pregunta
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.
Image:
8 (binary/octet-stream)
Respuesta
-
1
-
2/3
-
1/6
-
1/4
-
-1/2
Pregunta 22
Pregunta
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.
Respuesta
-
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
Pregunta 23
Pregunta
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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Respuesta
-
1
-
2
-
3
-
4
-
5
Pregunta 24
Pregunta
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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10 (binary/octet-stream)
Respuesta
-
M (X) = 10
-
D(X) = 1/2
-
P (10 < X < 15) = 1/2
-
P (X < 0) = 0
-
M (X) = 3/10
Pregunta 25
Pregunta
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.
Respuesta
-
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
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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
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P(neither of 3 shots will strike the target)=0.8
Pregunta 26
Pregunta
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.
Respuesta
-
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
Pregunta 27
Pregunta
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.
Respuesta
-
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
Pregunta 28
Pregunta
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.
Respuesta
-
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
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P(both chosen tractors are serviceable)=13/15
Pregunta 29
Pregunta
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.
Respuesta
-
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
Pregunta 30
Pregunta
82. All of the letters that spell STUDENT are put into a bag. Choose the correctly calculated
probabilities of events.
Respuesta
-
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
Pregunta 31
Pregunta
83. All of the letters that spell MISSISSIPPI are put into a bag. Choose the correctly calculated
probabilities of events.
Respuesta
-
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
Pregunta 32
Pregunta
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.
Respuesta
-
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
Pregunta 33
Pregunta
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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11 (binary/octet-stream)
Respuesta
-
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
Pregunta 34
Pregunta
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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12 (binary/octet-stream)
Respuesta
-
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
Pregunta 35
Pregunta
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.
Image:
13 (binary/octet-stream)
Respuesta
-
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
Pregunta 36
Pregunta
90. Find the Bernoulli formula.
Respuesta
-
Image:15 (binary/octet-stream)
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Image:16 (binary/octet-stream)
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Image:17 (binary/octet-stream)
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Image:18 (binary/octet-stream)
-
Image:19 (binary/octet-stream)
Pregunta 37
Pregunta
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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20 (binary/octet-stream)
Respuesta
-
1
-
2
-
3
-
4
-
5
Pregunta 38
Pregunta
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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21 (binary/octet-stream)
Respuesta
-
1
-
2
-
3
-
4
-
5
Pregunta 39
Pregunta
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.
Image:
22 (binary/octet-stream)
Respuesta
-
1
-
2
-
3
-
4
-
5
Pregunta 40
Pregunta
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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23 (binary/octet-stream)
Respuesta
-
1
-
2
-
3
-
4
-
5
Pregunta 41
Pregunta
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.
Image:
24 (binary/octet-stream)
Respuesta
-
1
-
2
-
3
-
4
-
5
Pregunta 42
Pregunta
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.
Image:
25 (binary/octet-stream)
Respuesta
-
1
-
2
-
3
-
4
-
5
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