GATE MA topic:quantitative-aptitude PYQs & Answers — Page 4

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Questions 31–40 of 56. Imported answers require independent review unless marked reviewed.

Topic practice 56 questionsPage 4 of 6

A contract is to be completed in 52 days and 125 identical robots were employed, each operational for 7 hours a day. After 39 days, five-seventh of the work was completed. How many additional robots would be required to complete the work on time, if each robot is now operational for 8 hours a day?

Your answerChoose one option.

146

175

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An unbiased coin is tossed six times in a row and four different such trials are conducted. One trial implies six tosses of the coin. If H stands for head and T stands for tail, the following are the observations from the four trials: (1) HTHTT (2) TTHHT (3) THTHT (4) HHT__.

Which statement describing the last two coin tosses of the fourth trial has the highest probability of being correct?

Your answerChoose one option.

Two T will occur.

One H and one T will occur.

Two H will occur.

One H will be followed by one T.

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An urn contains four balls, each ball having equal probability of being white or black. Three black balls are added to the urn. The probability that five balls in the urn are black is

Your answerChoose one option.

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Let

and

have joint probability density function given by

denotes the marginal probability density function of

, then

________.

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Let the cumulative distribution function of the random variable

be given by

Then

________.

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Let

be a sequence of independent Bernoulli random variables with

and let

. Then

converges, in probability, to ________.

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Let

be a sequence of independent Poisson(

) variables and let

. Then the limiting distribution of

is the normal distribution with zero mean and variance given by

Your answerChoose one option.

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Let

be independent and identically distributed random variables with probability density function given by

Also, let

. Then the maximum likelihood estimator of

Your answerChoose one option.

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Let

be independent exponential random variables with mean

, respectively. Then

has exponential distribution with mean equal to _________.

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Let

be the number of heads in 4 tosses of a fair coin by Person 1 and let

be the number of heads in 4 tosses of a fair coin by Person 2. Assume that all the tosses are independent. Then the value of

correct up to three decimal places is _________.

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GATE MA topic:quantitative-aptitude PYQs

Question 8

Question 10

Question 11

Question 23

Question 24

Question 25

Question 37

Question 38

Question 52

Question 53