In: Statistics and Probability
A) A company that owns a large number of grocery stores claims that customers who pay by personal check spend an average of $87 with a standard deviation of $22. Assume the amount spent by these customers is normally distributed.
What is the probability that a customer using a check spends less than $90?
Express your answer as a decimal rounded to four places after the decimal point.
B)
A company that owns a large number of grocery stores claims that customers who pay by personal check spend an average of $87 with a standard deviation of $22. Assume the amount spent by these customers is normally distributed.
What is the probability that a customer using a check spends between $80 and $85?
Express your answer as a decimal rounded to four places after the decimal point.
C)
A company that owns a large number of grocery stores claims that customers who pay by personal check spend an average of $87 with a standard deviation of $22. Assume the amount spent by these customers is normally distributed.
The top 10% of customers using a check pay _____________ or more for groceries.
Round your answer to 2 decimal places.
D)
A company that owns a large number of grocery stores claims that customers who pay by personal check spend an average of $87 with a standard deviation of $22. Assume the amount spent by these customers is normally distributed.
The most frugal 20% of customers pay ___________ or less for groceries.
Round your answer to the nearest hundredth.