SOLUTION: The probability that a certain make of car will need repairs in the first six months is 0.27 . A dealer sells 5 such cars. What is the probability that at least one of them will re

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Question 946969: The probability that a certain make of car will need repairs in the first six months is 0.27 . A dealer sells 5 such cars. What is the probability that at least one of them will require repairs in the first six months
AND
Luis has a coin that is weighted so that the probability that Heads appears when it is tossed is 0.52 . Suppose that the coin is tossed 4 times. What is the probability that all 4 tosses are Heads?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
The probability that a certain make of car will need repairs in the first six months is 0.27 . A dealer sells 5 such cars. What is the probability that at least one of them will require repairs in the first six months
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Binomial Problem with n = 5 ; p(need repair) = 0.27 ; p(not need) = 0.73
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Ans: P(1<= x <=5) = 1 - P(x=0) = 1 - 5C0(0.27)^0*0.73^5 = 0.73^5 = 0.7927
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AND
Luis has a coin that is weighted so that the probability that Heads appears when it is tossed is 0.52 . Suppose that the coin is tossed 4 times. What is the probability that all 4 tosses are Heads?
P(x = 4) = 0.52^4 = 0.0731
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Cheers,
Stan H.
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