﻿ Engineering Entrance Exam Question and Answers | Statistics - Zigya

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# Statistics

#### Multiple Choice Questions

31.

For a poisson variate X, if P(X = 2) = 3P(X = 3), then the mean of X is :

• 1

• $\frac{1}{2}$

• $\frac{1}{3}$

• $\frac{1}{4}$

32.

If m and σ2 are the mean and variance of the random variable X, whose distribution is given by
 X = x 0 1 2 3 P(X = x) $\frac{1}{3}$ $\frac{1}{2}$ 0 $\frac{1}{6}$

Then

• m = σ2 = 2

• m = 1, σ2 = 2

• m = σ2 = 1

• m = 2, σ2 = 2

33.

If X is a bmomial variate with the range {0, 1, 2, 3, 4, 5, 6} and P(X = 2) = 4P(X = 4), then the parameter p of X is

• $\frac{1}{3}$

• $\frac{1}{2}$

• $\frac{2}{3}$

• $\frac{3}{4}$

34.

The arithmetic mean of the observations 10, 8, 5, a, b is 6 and their variance is 6.8, then ab is equal to

• 6

• 4

• 3

• 12

35.

If the median of the data 6, 7, x - 2, x, 18 and 21 written in ascending order is 16, then the variance of that data is

• $30\frac{1}{5}$

• $31\frac{1}{3}$

• $32\frac{1}{2}$

• $33\frac{1}{3}$

36.

If the mean of 10 observations is 50 and the sum of the squares of the deviations of the observations from the mean is 250, then the coefficient of variation of those observations is

• 25

• 50

• 10

• 5

37.

The variance of the first 50 even natural numbers is

• $\frac{833}{4}$

• 833

• 437

• $\frac{437}{4}$

38.

If the mean and variance of a binomial variate X are respectively, then P(X = 2) =

• $\frac{4}{27}$

• $\frac{16}{81}$

• $\frac{8}{27}$

• $\frac{8}{81}$

39.

The variance of the following data is
 xi 6 10 14 1 24 28 30 fi 2 4 7 12 8 4 3

• 33.4

• 34.3

• 43.4

• 44.3

40.

Let the data 4, 10, x, y, 27 be in increasing order. If the median of data is 18 and its mean deviation about mean is 7.6 then the mean of this data is :

• 17

• 16

• 16.5

• 15.5