Question

In Binomial probability distribution n=40, and probability of success is 0.6 then mean is equal to​

Answer 1

In Binomial probability distribution n = 40, and probability of success is 0.6 then mean is equal to 24

Given :

In a Binomial probability distribution n = 40, and probability of success is 0.6

To find :

The value of mean

Solution :

Step 1 of 3 :

Define binomial distribution

If a trial is repeated n times and p is the probability of a success and q that of failure then the probability of r successes is

$\displaystyle \sf{ \sf{P(X=r) = \: \: }\large{ {}^{n} C_r}\: {p}^{r} \: \: {q}^{n - r} } \:$

Step 2 of 3 :

Write down n and p

Number of trials = n = 40

Probability of success = p = 0.6

Step 3 of 3 :

Find the value of mean

The mean of the Binomial distribution

= np

= 40 × 0.6

= 24