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प्रश्न
If the probability that a fluorescent light has a useful life of at least 600 hours is 0.9, find the probabilities that among 12 such lights exactly 10 will have a useful life of at least 600 hours
उत्तर
Let p be the probability of the useful life hours of a fluorescent light.
n = 12,
p = 0.9,
X = B(n, p)
q – 1 – p = 0.1
P(X = x) = ⁿCx px qn-x, x = 0, 1, 2, …. n
Exactly 10
P(X = 10) = 12C10 (0.9)10 (0.1)²
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