Bluefish purchased at the Lime Beach Fishing Terminal produce a filet weight which has a mean of 4.5 pounds with a standard deviation of 0.8 pound. If you purchase five such fish, then what is the...

Bluefish purchased at the Lime Beach Fishing Terminal produce a filet weight which has a mean of 4.5 pounds with a standard deviation of 0.8 pound. If you purchase five such fish, then what is the probability that you will have at least 21 pounds of filets?
Notice that in general 5 is a very small sample size to apply the Central Limit Theorem (CLT). However, the conclusion of the CLT holds even for small samples if the population distribution is normal or close to normal. Assume here that the population distribution of filet weights is close to norm