SOLUTION: 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 wi

Algebra ->  Probability-and-statistics -> SOLUTION: 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 wi      Log On


   



Question 455044: 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

Answer by stanbon(75887) About Me  (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.
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
-----------------
Binomial problem with n = 49 and p = 1/2
----
P(0<= x <=18) = binomcdf(49,0.5,18) = 0.0427
=====================
Cheers,
Stan H.