#### Question

The probability that a certain kind of component will survive a check test is 0.5. Find the probability that exactly two of the next four components tested will survive.

#### Solution

X be the number of components survive a check test.

p=0.5, q=0.5, n=4

P(x = 2) = ^{4}C_{2}(0.5)^{2}(0.5)^{2}

=6(0.25)(0.25)

=0.375

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#### APPEARS IN

Solution The probability that a certain kind of component will survive a check test is 0.5. Find the probability that exactly two of the next four components tested will survive. Concept: Conditional Probability.