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GATE CS 2019 -Engg Maths Quiz- 6 (Statistics )
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Question 1
Consider a random variable X that takes values +1 and −1 with probability 0.5 each. The values of the cumulative distribution function F(x) at x = −1 and +1 are
Question 2
Each of the nine words in the sentence ”The quick brown fox jumps over the lazy dog” is written on a separate piece of paper. These nine pieces of paper are kept in a box. One of the pieces is drawn at random from the box. The expected length of the word drawn is _____________. (The answer should be rounded to one decimal place.)
Question 3
If the difference between the expectation of the square of a random variable and the square of the expectation of the random variable is denoted by R, , then
Question 4
For each element in a set of size 2n, an unbiased coin is tossed. The 2n coin tosses are independent. An element is chosen if the corresponding coin toss were head. The probability that exactly n elements are chosen is:
Question 5
Consider a finite sequence of random values X = [x1, x2,…………, xn] Let μx be the mean and x be the standard deviation of X. Let another finite sequence Y of equal length be derived from this as where a and b are positive constants. Let μy be the mean and σy be the standard deviation of this sequence. Which one of the following statements is INCORRECT?
Question 6
Find the standard deviation of 2,4,6 and 8. (Round upto two decimal places)
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