Math Chapter Wise

EnglishUPPSC Polytechnic Lecturer 2021 (I)

Q161.In a Poisson distribution, it is given that P(x = 1) = 2P(x = 3). What will be third central moment of this distribution?

A3 B2 C1 DNone of the above

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EnglishUP TGT 2021

Q162.Three numbers are chosen at random from numbers 1 to 15. The probability that they are consecutive is

A1/15 B2/25 C1/35 D1/30

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EnglishUP TGT 2021

Q163.If the probability for A to fail in an examination is 0.20 and that of B to fail is 0.30, then the probability that either A or B fails is

A0.50 B0.54 C0.44 D0.45

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EnglishUPPSC Polytechnic Lecturer 2021 (I)

Q164.The probability that a driver must stop at any one traffic signal is 0.2. The probability that a driver will be stopped at one or more of the 15 sets of traffic signals approximately is () 15 0.8 = 0.0352 –

A94% B95% C96% D100%

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EnglishUPPSC Polytechnic Lecturer 2021 (I)

Q165.A number is chosen at random from first two hundred natural numbers. The probability that the number is divisible by 6 or 8 is-

A1/2 B1/4 C1/100 DNone of the above

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EnglishUPPSC Polytechnic Lecturer 2021 (I)

Q166.Ten coins are thrown simultaneously, then probability of getting seven heads is-

A120/1024 B10/1024 C126/1024 DNone of the above

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EnglishUPPSC Polytechnic Lecturer 2021 (I)

Q167.If A and B are statistically independent such that P

A1/2 B1/4 C1/8 D2/5

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EnglishUPPSC Polytechnic Lecturer 2021 (I)

Q168.A continuous random variable x has a probability density function f(x)= 3x2, ≤ 0 x 1, then the value of 'a' such that ≤ P(x a) = P(x > a) is-

A1/2 B1 3 1 2 C1 4 1 2 D1 5 1 2

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EnglishUP PGT 2021

Q169.A and B throw a dice. The probability that A's throw is greater than B's throw in numbers is–

A1/2 B5/6 C5/12 D7/12

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EnglishUP PGT 2021

Q170.The probabilities of winning a race by three racers P, Q, R are 1 1 1, and 3 4 5 respectively. The probability of none of them wins in the race is –

A1/5 B13/60 C2/5 DNone of the above

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EnglishUP PGT 2021

Q171.A five digit number is formed by digits 1, 2, 3, 4, 5 without repetition, the probability that the number formed is divisible by 4, is–

A1/4 B2/5 C3/5 D1/5

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EnglishUPPSC GIC 2021

Q172.If a coin is tossed three times, then the probability of getting at least one tail is-

A1/3 B1/8 C3/8 D7/8

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EnglishUPPSC GIC 2021

Q173.If A and B are two events such that P

A2/3 B1/4 C1/3 D1/2

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EnglishUPPSC GIC 2021 UPPSC Ashram Paddhati 2021 Haryana TGT 2020

Q174.What is the probability that a leap year, selected at random, will have 53 Sundays?

A3/7 B5/7 C2/7 D4/7

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EnglishUKPSC GIC 2018

Q175.The relationship between mean deviation(M.D.) and the standard deviation (S.D.) in the normal distribution, is approximately

A3 M.D. = 2 S.D. B5 M.D. = 4 S.D. C6 M.D. = 5 S.D. DM.D. = S.D.

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EnglishTGT 2009

Q176.If A and B are arbitrary events then,

AP(A∪B) ≥ P(A) + P(B) + 1 BP(A∪B) ≥ P(A) + P(B) –1 CP(A∪B) ≥ P(A) – P(B) – 1 DP(A∪B) ≥ P(A) – P(B) + 1

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EnglishTGT 2009

Q177.If P(A) = 0.65, P(B) = 0.15, then () () P A P B + will be equal to:

A1.2 B1.3 C1.4 D1.5

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EnglishTGT 2009

Q178.2 cards are drawn randomly from a new pack of 52 cards. Then what is the probability that one of the cards is a spade and the other is an ace?

A1/34 B8/221 C1/26 D2/51

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EnglishTGT 2009

Q179.A bag contains 3 black and 4 white balls. Two balls are drawn one after the other at random without replacement, then what is the probability that the ball drawn the second time is white?

A4/49 B1/7 C4/7 D12/49

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EnglishTGT 2005

Q180.There are 10 mangoes in a bag out of which 4 are rotten. If 2 mangoes are taken out from the bag together, what is the probability that both are good (Don't be rotten)?

A5/18 B8/15 C5/13 DNone of these

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