A baseball player has a batting average of 0.26. What is the probability that he has exactly 2 hits in his next 7 at bats

The probability is  

Step-by-step explanation:

From the question we are told that

         The probability of  success is

          The number of hits is  n =  7

Generally this probability follows a binomial distribution given there can only be two outcome i.e the probability of success and the probability of failure

       The probability of failure is  

substituting values

Now the probability of  exactly 2 hits in his next 7 at bats is mathematically evaluated as

substituting values

Here means 7  combination 2 and using a calculator(reference calculator soup website) to compute, the value obtained is  

So

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x