Q61. The probability that a man hits the target is 4 5. If he fires 5 times, then the probability that he will hit the target thrice is -
A 10. 3 4 5
B 5. 4 5
C 5. 3 4 5
D 16/5
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Correct answer: 10. 3 4 5
Q62. The formula to calculate the coefficient of quartile deviation is -
A Q Q 3 1 2 +
B Q Q 3 1 2 −
C Q Q 3 4 Q Q 3 1 − +
D Q Q 3 1 Q Q 3 1 − +
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Correct answer: Q Q 3 1 2 −
Q63. Three cards are randomly drawn from a pack of 52 playing cards. The probability that they are of the same colour is-
A 16/17
B 3/17
C 4/17
D 2/17
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Correct answer: 2/17
Q64. The probability of getting a head in a throw of an unbiased coin is–
A 1/2
B 1/4
C 1
D 2/3
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Correct answer: 1/2
Q65. If the probability of getting a spade card is 1/4, then the probability of NOT getting a spade card is
A 1/4
B 1/2
C 3/4
D 4/5
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Correct answer: 3/4
Q66. An ogive is used to determine
A Mean
B Median
C Geometric mean
D Harmonic mean
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Correct answer: Median
Q67. A card is taken out at a random from a pack of 52 cards numbered from 1 to 52. The probability that the number on the card is a prime number less than 20 is
A 1/12
B 2/12
C 3/13
D 2/13
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Correct answer: 2/13
Q68. In a simultaneous throw of two dice, the probability of getting a total sum of 8 is
A 3/36
B 4/36
C 5/36
D 6/36
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Correct answer: 5/36
Q69. An event containing only a single sample point is called
A Equally likely events
B Impossible events
C Possible events
D Simple events
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Correct answer: Simple events
Q70. The probability of getting the sum as a prime number when two dice are thrown together is
A 5/18
B 5/12
C 4/13
D 4/17
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Correct answer: 5/12
Q71. If A and B are mutually exclusive events, then ∩ P(A B)is
A 0
B 1
C –1
D 2
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Correct answer: 0
Q72. The middle term of the series arranged in ascending or descending order is called
A Mean
B Median
C Mode
D Standard deviation
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Correct answer: Median
Q73. What is the average of the median of the set A= {2,1,3,6,7,9,8} and the mode of set B= {2,3,8,4,6,8,8,9,9}?
A 5
B 6
C 7
D 9
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Correct answer: 7
Q74. Incorrect statement is -
A A compact metric space is sequentially compact.
B A closed subset of compact metric space is compact.
C A compact metric space does not obey Bolzano-Weierstrass property.
D Each finite subset in a metric space is compact.
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Correct answer: A compact metric space does not obey Bolzano-Weierstrass property.
Q75. Let x1, x2,..., xn be 'n' observation such that ∑ 2 i x = 400 and ∑ i x = 80, Then a possible value of 'n' among the following is:
A 12
B 9
C 18
D 15
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Correct answer: 18
Q76. If in the first hundred natural numbers, x be one of them, the probability that 100 x + x is greater than 50 is –
A 9/11
B 11/20
C 13/20
D 11/21
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Correct answer: 11/20
Q77. If a coin is tossed (m + n) times (where m > n), then the probability of at least m consecutive heads is -
A n n +1 2 +1
B n m + 2 2 +1
C m 2 + n 2 +1
D m m +1 2 +1
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Correct answer: m 2 + n 2 +1
Q78. If random variable X had the probability function f(x) = () k x = 0,1,2,........... x! the value of k is __________
A 1/e
B e
C −1/e
D e – 1
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Correct answer: 1/e
Q79. Which of the following comes under probability distribution?
A () x 2 f x =,x =1,2,3,4 2 −
B () 1 g x =,x = 1,2,3,4 4
C () 2 x h x =,x = 1,2,3,4 25
D () x 2 f x =,x =1,2,3,4 5 −
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Correct answer: () 1 g x =,x = 1,2,3,4 4
Q80. The frequency distribution of the amount of rainfall in December in a certain region for a period of 30 years is given as __________ Rainfall (in inches) Number of years 2.0 - 4.0 3 4.0 - 6.0 6 6.0 - 8.0 8 8.0 - 10.0 8 10.9 - 12.0 5 The mean amount of rainfall in inches is -
A 7.30
B 7.25
C 7.40
D 8.40
Show answer
Correct answer: Discrepancy / answer not specified in source