﻿ The variance of first 20 natural numbers is | Statistics

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# 11.The variance of first 20 natural numbers is133/4 279/12 133/2 399/4

A.

133/4

Variance of n natural numbers

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!

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