Math Chapter Wise

EnglishUPPSC Polytechnic Lecturer 2021 (I)

Q141.If 'r' represents coefficient of correlation and bxy, byx represent coefficients of regression, then which of the following is NOT correct?

A2 r 1 ≤ Byx xy b b 1 = Cyx xy 1 b 2,b 3 = Dxy yx b –1.5,b –0.9 =

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EnglishUPPSC Polytechnic Lecturer 2021 (I)

Q142.If the mean of a binomial distribution is 3, then its variance could be

A4.5 B5.5 C3.5 D1.5

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EnglishUPPSC Polytechnic Lecturer 2021 (I)

Q143.The regression coefficients remain unaffected due to a-

Achange of scale Bchange of origin CBoth (a) and (b) DNone of the above

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EnglishUPPSC Polytechnic Lecturer 2021 (I)

Q144.Let X be a random variable having Poisson distribution. If P (x=2)=3P (x=4), then standard deviation of X is-

A1/2 B2 C2 D3

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EnglishUPPSC Polytechnic Lecturer 2021 (I)

Q145.If a random variable X has Poisson distribution with mean 3, then P (x > 2.5) is equal to-

A3 5 1– e B3 10 1– 3e C3 17 1– 2e DNone of the above/

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EnglishUP TGT 2021

Q146.If for a moderately symmetrical distribution mean deviation is 12, then the value of standard deviation is

A15 B12 C24 DNone of the above

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EnglishUP TGT 2021

Q147.The mean weight of 9 items is 15 kg. If one more item is added then the mean weight becomes 16 kg, then the weight of tenth item will be/9

A20 kg B15 kg C25 kg D30 kg

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EnglishUP TGT 2021

Q148.If the mean of x, x + 2, x + 4, x + 6, x + 8 is 11, then what is the mean of the last three observations?

A8 B10 C12 D13

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EnglishUP TGT 2021

Q149.Which one of the following is not a measure of central tendency?

AMean BRange CMedian DMode

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EnglishUP TGT 2021

Q150.If the arithmetic mean from the following data x 5 15 25 35 45 f 6 4 3 k 2 is 21.5, the value of k will be

A3 B3.5 C4 D5

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EnglishUPPSC Polytechnic Lecturer 2021 (I)

Q151.If Z=aX+bY and 'r' is the coefficient of correlation between X and Y, then which of the following is true?

Az x y a b σ = σ + σ B2 2 2 2 2 z x y a b – r σ = σ + σ CImage/formula option C (see source) D2 2 2 2 2 z x y x y a b 2abr σ = σ + σ + σ

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EnglishUPPSC Polytechnic Lecturer 2021 (I)

Q152.If the regression line of 'y' on 'x' is ax+by+k=0 and the regression line of 'x' on 'y' is Ax+By+K=0, then-

AaB bA/≤ BaB bA/≥ CaA bB/≤ DaA bB/≥

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EnglishUPPSC Polytechnic Lecturer 2021 (I)

Q153.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

Q154.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

Q155.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)

Q156.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)

Q157.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)

Q158.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)

Q159.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)

Q160.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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