A consumer electronics store stocks five alarm clock radios. If it has fewer than five clock radios available at the end of a week, the store restocks the item to bring the in-stock level up to five. If weekly demand is greater than the five units in stock, the store loses sales. The radio sells for $28 and costs the store $12. The manager estimates that the probability distribution of weekly demand for the radio is as shown in the provided data table. Complete parts a through d below.

Weekly_Demand Probability 0 0.05 1 0.05 2 0.09 3 0.2 4 0.38 5 0.11 6 0.07 7 0.05

a. What is the expected weekly demand for the alarm clock radio?

The expected weekly demand is

(integer or a decimal. Do not round.)

Part 2b. What is the probability that weekly demand will be greater than the number of available radios?

The probability is

(integer or a decimal. Do not round.)

Part 3c. What is the expected weekly profit from the sale of the alarm clock radio?

(Remember: There are only five clock radios available in any week to meet demand.)

The expected weekly profit is $

(Round to the nearest cent as needed.)

Part 4d. On average, how much profit is lost each week because the radio is not available when demanded?

The expected weekly profit lost is $

(Round to the nearest cent as needed.)