Question 304009: a fruit company guarentees that 90% of the pineapples it ships will be ripe within four days. find each probability for a case containing 12 pineapples.
1) all 12 are ripe within 4 days.
2) at least 10 are ripe within 4 days.
3) no more than 9 are ripe within 4 days.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! a fruit company guarentees that 90% of the pineapples it ships will be ripe within four days. find each probability for a case containing 12 pineapples.
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Binomial Problem with n=12 ; p = 0.90
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1) all 12 are ripe within 4 days.
P(x=12) = 12C12*(0.9)^12*(0.1)^0 = 0.9^12 = 0.2824
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2) at least 10 are ripe within 4 days.
P(10<= x <=12) = 1 - binomcdf(12,0.9,9) = 0.8891
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3) no more than 9 are ripe within 4 days.
P(0<= x <=9) = binomcdf(12.0.9,9) = 0.1109
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Cheers,
Stan H.
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