Jason is a very good bowler and has proven over the

course of a season of league play that he gets a

STRIKE 50% of the time. Using this empirical

probability what is the probability that Jason will get

exactly 7 strikes out of 10 attempts?

The probability that Jason will get  exactly 7 strikes out of 10 attempts is 0.117.

Step-by-step explanation:

We are given that Jason is a very good bowler and has proven over the  course of a season of league play that he gets a  STRIKE 50% of the time.

Also, Jason has been given 10 attempts.

The above situation can be represented through binomial distribution;

where, n = number trials (samples) taken = 10 attempts

            r = number of success = 7 strikes

            p = probability of success which in our question is % of the time

                   he gets a strike, i.e; p = 50%

Let X = Number of strikes Jason get

So, X ~ Binom(n = 10, p = 0.50)

Now, probability that Jason will get  exactly 7 strikes out of 10 attempts is given by = P(X = 7)

                 P(X = 7)  =  

                                =  

                                =  

                                =  0.117

Therefore, the probability that Jason will get  exactly 7 strikes out of 10 attempts is 0.117.