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Fenway Park is the home of the Red Sox. Though generations have come and gone, F

ID: 3363535 • Letter: F

Question

Fenway Park is the home of the Red Sox. Though generations have come and gone, Fenway Park remains, much like it did the day it opened on April 20, 1912. Today the Red Sox are playing the NY Yankees. If today is sunny 1000 people will attend the ballgame. If today is cloudy only 500 people will attend the ball game. If it rains only 100 people will attend the ball game. The local meteorologist states that the probability of a sunny day is .4, a cloudy day is .5 and a rainy day is .1. What is the number of people expected to attend today's game?

Explanation / Answer

Solution:-

The number of people expected to attend today's game is 660.

P(Sunny) = 0.40

P(Cloudy) = 0.50

P(Rainy) = 0.10

E(x) = 0.40 × 1000 + 0.50 × 500 + 0.10 × 100

E(x) = 400 + 250 + 10

E(x) = 660

The number of people expected to attend today's game is 660.