Question 906434: Let Upper X be the number of years before a particular type of machine will need replacement. Assume that Upper X has the probability function f left-parenthesis 1 right-parenthesis equals 0.3, f left-parenthesis 2 right-parenthesis equals 0.1, f left-parenthesis 3 right-parenthesis equals 0.2, f left-parenthesis 4 right-parenthesis equals 0.1, f left-parenthesis 5 right-parenthesis equals 0.3. Find the probability that the machine needs no replacement during the first 3 years.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Let Upper X be the number of years before a particular type of machine will need replacement. Assume that Upper X has the probability function
f(1) = 0.3
f(2) = 0.1
f(3) = 0.2
f(4) = 0.1
f(5) = 0.3
Find the probability that the machine needs no replacement during the first 3 years.
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P(no replacement in 1st 3 years) = 1 - (0.3+0.1+0.2) = 0.4
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Cheers,
Stan H.
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