Ethan owns an electronics store. Based on a number of factors including weather, day of

the week and the occurrence of national sporting events, Ethan has constructed the

following probability distribution of customers that will come into his store during the

weekend:

Number of

customers Probability

300 10%

400 20%

500 35%

600 20%

700 10%

800 5%

A higher percentage of customers make a purchase when there are fewer customers in

the store. Ethan estimates that 80% of the customers will purchase goods when there are

300 or fewer customers in the store during the weekend. The number of customers that

will make a purchase drops by 4% for every 100 customers. The average sale is $90 per

customer. Profit margin is 12% on all sales.

How much profit can Ethan expect from weekend sales?

a) $3,900.96

b) $5,562.00

c) $32,508.00

d) $46,350.00