Question

IF THE DAY IS SUNNY, 1000 PEOPLE WILL ATTEND THE BASEBALL GAME. IF THE DAY IS CLOUDY, ONLY 500 PEOPLE WILL ATTEND. IF IT RAINS, ONLY 100 PEOPLE WILL ATTEND. THE LOCAL METEOROLOGIST STATES THAT THE PROBABILITY OF A SUNNY DAY IS 0.4, OF A CLOUDY DAY IS 0.5, AND OF A RAINY DAY IS 0.1. FIND THE NUMBER OF PEOPLE THAT ARE EXPECTED TO ATTEND

Answer 1

Given that;

IF THE DAY IS SUNNY, 1000 PEOPLE WILL ATTEND THE BASEBALL GAME.

IF THE DAY IS CLOUDY, ONLY 500 PEOPLE WILL ATTEND.

IF IT RAINS, ONLY 100 PEOPLE

The probability of sunny day, is

`P(S)=0.4`

The probability of cloudy day, is

`P(C)=0.5`

The probability of rainy day, is

`P(R)=0.1`

The number of people expected to attend will be

`\begin{gathered} =0.4*1000+0.5*500+0.1*100 \\ =400+250+10 \\ =660 \end{gathered}`

Hence, the number of people expected is 660