The probability that a certain kind of component will survive a check test is 0.6. Find the probability that exactly 2 of the next 4 tested components survive - Mathematics and Statistics

The probability that a certain kind of component will survive a check test is 0.6. Find the probability that exactly 2 of the next 4 tested components survive

Solution

p = 0.6, q = 1– p = 1 – 0.6 = 0.4

n = 4, r = 2

p(X=r)=""^nC_rp^rq^(n-r)

p(X=2)=""^4C_2(0.6)^2(0.4)^2

=(4xx3)/(1xx2)(0.36)(0.16)

=0.3456

Concept: Conditional Probability
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