In: Statistics and Probability
Keith’s Florists has 16 delivery trucks, used mainly to deliver flowers and flower arrangements in the Greenville, South Carolina, area. Of these 16 trucks, 6 have brake problems. A sample of 5 trucks is randomly selected. What is the probability that 2 of those tested have defective brakes? (Round your answer to 4 decimal places.)
Here, n = 5, p = 0.375, (1 - p) = 0.625 and x = 2
As per binomial distribution formula P(X = x) = nCx * p^x * (1 -
p)^(n - x)
We need to calculate P(X = 2)
P(X = 2) = 5C2 * 0.375^2 * 0.625^3
P(X = 2) = 0.3433
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