A sample of 15 bridges in a given state is selected and the

A sample of 15 bridges in a given state is selected and the bridges chosen are inspected for structural weaknesses. if 4 of the bridges sampled are found to have serious problems, what is the estimated probability that the next bridge sampled in the state will have serious struatural problems?

Solution

what is the estimated probability that the next bridge sampled in the state will have serious struatural problems?

p = 4/15 = 0.27

q = 1-0.27 = 0.73

GEOMETRIC DISTRIBUTION

Probability = 0.73^(5-1) * 0.27

PROBABILITY = 0.07667