Question

In a binomial distribution the probability of getting a success is 1/4 and standard deviation is 3 , then its mean is

Answer 1

Answer:

12

Step-by-step explanation:

Let n be successive independent trials and p the probability of getting a success.

The the mean and variance of a binomial distribution is given by :

Mean = np

Variance = np(1 - p)

In this case we have :

p = 1/4

Variance = (standard deviation) ²

Variance = 3² = 9

From this we can get the value of n as follows :

Variance = np(1 - p)

Doing the substitution we have

9 = 1/4n( 1 - 1/4)

9 = 1/4n(3/4)

9 = 3/16n

n = 16/3 × 9

n = 48

Mean = np

Mean = 48 × 1/4 = 12

The mean of the binomial distribution is equal to 12.

Answer 2

Answer:

12take given sucess as p=1/4

and q =1-p

=1-1/4

=3/4

variance (3²)=9

npq=9

n(1/4)(3/4)=9

n=48

so, mean = np

48(1/4) = 12

so the and mean = 12

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