In a binomial distribution, if n = 20, q = 0.75, then write its mean.

RD Sharma - Mathematics (Volume 2)

Book: RD Sharma - Mathematics (Volume 2)

Chapter: 33. Binomial Distribution

Subject: Maths - Class 12^th

Q. No. 1 of Very Short Answer

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1

In a binomial distribution, if n = 20, q = 0.75, then write its mean.

Given:

n=20

q=0.75

p=?

q=(1-p)

=0.75

p=1-0.75

=0.25

Mean = np

= 20(0.75)

= 15

1

Chapter Exercises

Exercise 33.2

Exercise 33.1

Very Short Answer

MCQ

1

In a binomial distribution, if n = 20, q = 0.75, then write its mean.

2

If in a binomial distribution mean is 5 and variance is 4, write the number of trials.

3

In a group of 200 items, if the probability of getting a defective item is 0.2, write the mean of the distribution.

4

If the mean of a binomial distribution is 20 and its standard deviation is 4, find p.

5

The mean of a binomial distribution is 10 and its standard deviation is 2, write the value of q.

6

If the mean and variance of a random variable X having a binomial distribution are 4 and 2 respectively, find P (X = 1).

7

If the mean and variance of a binomial variate X are 2 and 1 respectively, find P(X > 1).

8

If in a binomial distribution n = 4 and find q.

9

If the mean and variance of a binomial distribution are 4 and 3 respectively, find the probability of no-success.

10

If for a binomial distribution P (X = 1) = P (X = 2) = α, write P (X= 4) in terms of α.

11

An unbiased coin is tossed 4 times. Find the mean and variance of the number of heads obtained.

12

If X follows binomial distribution with parameters n = 5, p and P(X = 2) = 9 P(X = 3), then find the value of p.