The average yearly Medicare hospital insurance benefit per person was $4064 in a recent year. Suppose the benefits are normally distributed with a standard deviation of $460. Round the final answer is to at least four decimal places in the intermediate Z value calculations to two decimal places.

find the probability that the main benefit for a random sample of 28 patients is less than $3880

find the probability that the main benefit for a random sample of 28 patients is more than

$4260

.