A company that has a large number of supermarket grocery stores claims that customers who pay by personal checks spend an average of $87 on groceries...

A company that has a large number of supermarket grocery stores claims that customers who pay by personal checks spend an average of $87 on groceries at these stores with a standard deviation of $22. Assume that the expenses incurred on groceries by all such customers at these stores are normally distributed. a) Find the probability that a randomly selected customer who pays by check spends more than $114 on groceries.