Question 455178: You and your 50 coworkers decide to play a game that consists of flipping a coin once for each coworker. if the flip of the coin for the particular coworker results in head, you will have to pay them $1. If it results in a tail, neither party has to pay anything.
Assume that the coin you are using is a fair coin (i.e. the probability of getting a head or a tail is equal to 0.5)
the probability that you will not have to pay more than $18, but less than $30
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! You and your 50 coworkers decide to play a game that consists of flipping a coin once for each coworker.
if the flip of the coin for the particular coworker results in head, you will have to pay them $1.
If it results in a tail, neither party has to pay anything.
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Assume that the coin you are using is a fair coin (i.e. the probability of getting a head or a tail is equal to 0.5)
the probability that you will not have to pay more than $18, but less than $30
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Binomial problem with n = 50 and p = 1/2
P(19<= x <=30) = binomcdf(50,0.5,30)-binomcdf(50,0.5,18)
= 0.9081
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Cheers,
Stan H.
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