Question 864037: The organisers of a TV game show think that the probability of any contestant winning a prize will be 0.7, and that the success or failure of any contestant will be independent of the success or failure of other contestants. Six contestants take part on each episode of the show.
The show runs for 30 episodes altogether. Find the probability that the total number of successful contestants will be more than 120.
Can someone help me with this one?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The organisers of a TV game show think that the probability of any contestant winning a prize will be 0.7, and that the success or failure of any contestant will be independent of the success or failure of other contestants. Six contestants take part on each episode of the show.
The show runs for 30 episodes altogether. Find the probability that the total number of successful contestants will be more than 120.
Can someone help me with this one?
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# of contestants = 6*30 = 180
P(success) = 0.7
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P(x > 120) = 1 - P(180,0.7,120) = 1 - binomcdf(180,0.7,120) = 0.815
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Cheers,
Stan H.
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