According to insurance records a car with a certain protection system will be recovered 94% of the time. Find the probability that 3 of 6 stolen cars will be recovered.

1) According to insurance records a car with a certain protection system will be recovered 94% of the time. Find the probability that 3 of 6 stolen cars will be recovered.

Expert Solution

Here, n = 6, p = 0.94, (1 - p) = 0.06 and x = 3
As per binomial distribution formula P(X = x) = nCx * p^x * (1 - p)^(n - x)

We need to calculate P(X = 3)
P(X = 3) = 6C3 * 0.94^3 * 0.06^3
P(X = 3) = 0.0036

orchestra answered 2 years ago

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