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

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.
------------------
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
---------------------
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
==============
Cheers,
Stan H.
==============

RELATED QUESTIONS
You and your 50 coworkers decide to play a game that consists of flipping a coin once for (answered by stanbon)

You and your 50 coworkers decid to play a game that consists of flipping a coing once for (answered by stanbon)

at a carnival, you pay 2.00 pesos to play a coin flipping game with 3 fair coins. on each (answered by Fombitz)

your friend decides to flip a coin repeatedly to analyze whether the probability of a... (answered by ramkikk66)

Amy and Martin play a game in which they take turns flipping a fair coin until one of... (answered by edjones)

Take a coin to a do this experiment. Don�t just record the final result. Be sure to... (answered by ikleyn)

Here's another puzzle featuring squares -- but this time there's really no geometry... (answered by richard1234)

Results: Heads: 9 Tails: 11 Background info: You play a game where if you can... (answered by Boreal)