1. Expected Value Omar's Fruit Shop sells only apples and bananas. Each week, Omar puts either apples or bananas on sale. He is trying to figure out which fruit he should put on sale this week. Omar...



1. Expected Value







Omar's Fruit Shop sells only apples and bananas. Each week, Omar puts either apples or bananas on sale. He is trying to figure out which fruit he should put on sale this week.

Omar gets all of his business from people who walk by his fruit shop and stop in. He performs some market research and asks 800 different people if they would purchase apples, bananas, or no fruit if they walked by and apples were on sale. He does the same for bananas being on sale.

This week a total of 400 people will walk by Omar's Fruit Shop.

The following table shows the profit for each type of fruit depending on which fruit Omar puts on sale:

                             Apples on sale   Bananas on sale

Profit from apples        $0.25                 $0.40

Profit from bananas     $0.45                 $0.30

The following table shows the results from his market research.

Customer choice     Apples on sale   Bananas on sale

Apples                         604                     92

Bananas                        90                   620

No fruit                       106                     88

Total                           800                   800

What is Omar's expected profit if he puts apples on sale?

What is Omar's expected profit if he puts bananas on sale?

To maximize his expected profit, Omar should put apples or bananas on sale.







Jun 08, 2022
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