SOLUTION: An independent television station airs a movie-of-the-day every Tuesday and Thursday. Their market research shows that their suspense movies are viewed by an average of 3500 people

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Question 204216: An independent television station airs a movie-of-the-day every Tuesday and Thursday. Their market research shows that their suspense movies are viewed by an average of 3500 people, their comedies are viewed by 4500 people, and their dramas are viewed by 6000 people. The station buys a package of 100 movies, consisting of 15 suspense movies, 40 comedies, and 45 dramas. The movies will be shown two per week for 50 weeks. Find the expected number of viewers on a given movie.

I tried doing this but I am confusing myself.... I did 3 of these little probability things kind of like this earlier and I only got 1 out 3 right. So if you don't mind can you explain to me how to do this... I hate not getting things right the first time... Please help

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
An independent television station airs a movie-of-the-day every Tuesday and Thursday.
Their market research shows that their suspense movies are viewed by an average of 3500 people,
P(suspense) = 2500/14000
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their comedies are viewed by 4500 people,
P(comeidies) = 4500/14000
-----------------------------
and their dramas are viewed by 6000 people.
P(dramas) = 6000/14000
------------------------------
The station buys a package of 100 movies, consisting of
15 suspense movies,
40 comedies, and
45 dramas.
-----------------------
The movies will be shown two per week for 50 weeks. Find the expected number of viewers on a given movie.
E(suspense) = (2500/14000)15*2*50 =
E(comedies) = (4500/14000)*40*2*50
E(dramas) = (6000/14000)*45*2*50
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Cheers,
Stan H.

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