The probability that a bulb produced by a factory will fuse after 150 days of use is 0·05. Find the probability that out of 5 such bulbs at least one will fuse after 150 days of use.

Solution

Here n = 5
$straight p space equals 0.05 space equals space 5 over 100 space equals 1 over 20 comma space space straight q space equals space 1 space minus space straight p space equals space 1 minus 1 over 20 space equals space 19 over 20$
P(at least one bulb wil fuse after 150 days)
$equals space 1 minus straight P left parenthesis 0 right parenthesis space equals space 1 minus space open parentheses 19 over 20 close parentheses to the power of 5$ $open square brackets because space of space left parenthesis straight i right parenthesis close square brackets$

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Probability

The probability that a bulb produced by a factory will fuse after 150 days of use is 0·05. Find the probability that out of 5 such bulbs at least one will fuse after 150 days of use.

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