Question 326553:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In a given year, 24% of the people in a community use the emergency room at the local hospital. A random sample of 26 people is selected. A researcher wishes to know the probability that a fixed number of individuals in the sample will have used the emergeny room in the last year.
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a) Explain why this situation will involve a binomial probability distribution.
1. Each individual either has or has not used the emergency room.
2. The probability for each individual using the emergency is constant.
3. The events are independent.
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b) Find the probability that in a sample of 26, exactly 12 people used the emergency room.
P(x=12) = 26C12*0.24^12*0.76^14 = binompdf(26,0.24,12) = 0.0076
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c) Find the probability that in a sample of 26, 12 or fewer people used the emergency room.
P(x<= 12) = binomcdf(26,0.24,12) = 0.9964
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Cheers,
Stan H.
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