Question 700060: the probability is 0.6 that a person aged 70 will be alive at age 75 . suppose 300 people aged 70 are selected randomly.determine the probability that a)exactly 245 people will be alive at age 75 and (b)between 225 and 275 people will be alive at age 75
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! the probability is 0.6 that a person aged 70 will be alive at age 75 . suppose 300 people aged 70 are selected randomly.determine the probability that a)exactly 245 people will be alive at age 75 and (b)between 225 and 275 people will be alive at age 75
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Binomial Problem with n = 300 ; p(alive) = 0.6
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a)exactly 245 people will be alive at age 75
P(x = 245) = 300C245(0.6)^245*0.4^55 = binompdf(300,0.6,245) = 4.028x10^-16
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(b)between 225 and 275 people will be alive at age 75
P(225<= x <=275) = binomcdf(300.0.6,275)-binomcdf(300.0.6,224) = 3.324x10^-8
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Cheers,
Stan H.
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