﻿ The number of words that can be written using all the letters of the word IRRATIONAL is | Statistics

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# Statistics

#### Multiple Choice Questions

11.

The variance of first 20 natural numbers is

• 133/4

• 279/12

• 133/2

• 399/4

12.

A vehicle registration number consists of 2 letters of English alphabet followed by 4 digits, where the first digit is not zero. Then, the total number of vehicles with distinct registration numbers is

# 13.The number of words that can be written using all the letters of the word 'IRRATIONAL' is$\frac{10!}{{\left(2!\right)}^{3}}$ $\frac{10!}{{\left(2!\right)}^{2}}$ $\frac{10!}{2!}$ 10!

A.

$\frac{10!}{{\left(2!\right)}^{3}}$

These are 10 letters in the word IRRATIONAL in which these are 2 'I', 2 'R' and 2 'A'.

$\therefore$ The total number of words =

14.

If the mean and variance of a binomial distribution are 4 and 2, respectively. Then, the probability of atleast 7 successes is

• $\frac{3}{214}$

• $\frac{4}{173}$

• $\frac{9}{256}$

• $\frac{7}{231}$

15.

Mean and standard deviation from the following observations of marks of 5 students of a tutorial group (marks out of 25)

8,12,13,15,22 are

• 14, 4.604

• 15, 4.604

• 14, 5.604

• None of these

16.

The relationship between the correlation coefficient r and the regression coefficients bxy and byx, is

17.

If then the coefficient of correlation is

• 0.4

• 0.3

• 0.2

• 0.1

18.

If the coefficient of correlation between two variables is 0.32, covariance is 8 andvariance of x is 25, then variance of y is

• 36

• 25

• 64

• None of these

19.

When byx = 0.03 and bxy = 0.3, then r is equal to approximately

• 0.003

• 0.095

• 0.3

• - 0.3

20.

Find the regression coefficient bxy for the data  and n = 8

• 0.3

• 0.7

• 0.8

• 0.6