SOLUTION: Records of a health insurance company shows that 40% of policyholders under age 30 submitted a claim during the past year. A random sample of 75 policyholders under age 30 is selec

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Question 855310: Records of a health insurance company shows that 40% of policyholders under age 30 submitted a claim during the past year. A random sample of 75 policyholders under age 30 is selected. Assuming the records are correct, then find the probability that:
a. exactly 30 submitted a claim during the past year.
b. More than 32 submitted a claim during the past year.
c. at most 29 submitted a claim during the past year

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
p = .40, n = 75
P(x = 30) = binompdf(75,.40,30) = .0937
P(x ≥ 32) = 1 - binomcdf(75,.40, 31) = .3594
P(x ≤ 29) = binomcdf(75,.40, 29) = .4562
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