GATE ME topic:probability-and-statistics PYQs & Answers — Page 2

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Questions 11–20 of 27. Imported answers require independent review unless marked reviewed.

Topic practice 27 questionsPage 2 of 3

Customers arrive at a shop according to the Poisson distribution with a mean of 10 customers/hour. The manager notes that no customer arrives for the first 3 minutes after the shop opens. The probability that a customer arrives within the next 3 minutes is

Your answerChoose one option.

0.39

0.86

0.50

0.61

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The sum of two normally distributed random variables X and Y is

Your answerChoose one option.

always normally distributed

normally distributed, only if X and Y are independent

normally distributed, only if X and Y have the same standard deviation

normally distributed, only if X and Y have the same mean

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A company is hiring to fill for managerial vacancies. The candidates are five men and three women. If every candidate is equally likely to be chosen then the probability that at least one woman will be selected is __________(round off to 2 decimal places).

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Consider two exponentially distributed random variables X and Y, both having a mean of 0.50. Let Z = X + Y and r be the correlation coefficient between X and Y. If the variance of Z equals 0, then the value of r is ______ (round off to 2 decimal places).

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A fair coin is tossed 20 times. The probability that ‘head’ will appear exactly 4 times in the first ten tosses, and ‘tail’ will appear exactly 4 times in the next ten tosses is ______ (round off to 3 decimal places).

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The lengths of a large stock of titanium rods follow a normal distribution with a mean (

) of 440 mm and a standard deviation (

) of 1 mm. What is the percentage of rods whose lengths lie between 438 mm and 441 mm?

Your answerChoose one option.

81.85%

68.4%

99.75%

86.64%

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is the mean of data 3,

, 2 and 4, then the mode is ______

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The variable

takes a value between 0 and 10 with uniform probability distribution. The variable

takes a value between 10 and 20 with uniform probability distribution. The probability of the sum of variables

being greater than 20 is

Your answerChoose one option.

0.25

0.33

0.50

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The probability that a part manufactured by a company will be defective is 0.05. If 15 such parts are selected randomly and inspected, then the probability that at least two parts will be defective is ______ (round off to two decimal places).

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Four red balls, four green balls and four blue balls are put in a box. Three balls are pulled out of the box at random one after another without replacement. The probability that all three balls are red is

Your answerChoose one option.

1/72

1/55

1/36

1/27

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GATE ME topic:probability-and-statistics PYQs

Question 33

Question 1

Question 23

Question 35

Question 36

Question 4

Question 19

Question 28

Question 40

Question 1