A production process produces 5% defective parts. A sample of five parts from the production process is selected. What is the probability that the sample contains exactly two defective parts

0.0214

Step-by-step explanation:

Given that :

p = 5% = 0.05

Number of trials (n) = 5

probability that the sample contains exactly two defective parts

P(x = 2)

Using the binomial probability function :

P(x = x) = nCr * p^x * (1 - p)^(n-x)

P(x = 2) = 5C2 * 0.05^2 * (0.95)^3

P(x = 2) = 5C2 * 0.05^2 * (0.95)^3

P(x = 2) = 10 * 0.0025 * 0.857375

= 0.021434375

= 0.0214

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.