GATE MT Probability and Statistics PYQs & Answers — Page 2

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Questions 11–17 of 17. Imported answers require independent review unless marked reviewed.

Topic practice 17 questionsPage 2 of 2

A coin is tossed three times. Given that there are more heads than tails, the probability of getting exactly one tail is: __________ (round off to 2 decimal places).

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The production process of cylindrical pipes results in a statistical scatter in their diameter which is modelled by a normal distribution with a mean value of 10 mm. If the area under the normal curve between 9 mm and 10 mm is 0.35, then the probability of producing pipes of diameter greater than 11 mm is ______ (round off to two decimal places).

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The standard deviation (rounded off to one decimal place) of the following set of five numbers is ____________.

6, 8, 8, 9, 9

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The probability of solving a problem by Student A is (1/3), and the probability of solving the same problem by Student B is (2/5). The probability (rounded off to two decimal places) that at least one of the students solves the problem is _____________.

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A classroom of 20 students can be categorized on the basis of blood-types: 5 students each with “A”, “B”, “AB”, and “O” blood-types. If four students are selected at random from this class, what is the probability that each student has a different blood-type?

Your answerChoose one option.

0.250

0.128

0.0625

0.0156

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The mean of a numerical data-set is

and the standard deviation is

. If a number

is added to each term in the data-set then the mean and standard deviation become:

Your answerChoose one option.

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Assume that the probability of South Africa winning against India is 1/3. If South Africa plays a 3 match cricket series against India, the probability that South Africa wins only one match is __________ (assume that no matches are tied or abandoned) (answer up to three decimal places)

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GATE MT Probability and Statistics PYQs

Question 39

Question 41

Question 23

Question 37

Question 38

Question 2

Question 26