A waiter believes the distribution of his tips has a model that is right-skewed, with a mean of $9.60 and a standard deviation of $5.40. A random sample of 40 parties this waiter waits on is selected.
a)Describe the sampling distribution of the sample mean tip.
b)What is the probability that the waiter will earn a total of less than $450 in tips when he waits on 40 parties (round answer to 4 decimal places)?