Keiths Florists has 17 delivery trucks used mainly to delive

Keith’s Florists has 17 delivery trucks, used mainly to deliver flowers and flower arrangements in the Greenville, South Carolina, area. Of these 17 trucks, 7 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.)

Solution

Keith’s Florists has 17 delivery trucks, used mainly to deliver flowers and flower arrangements in the Greenville, South Carolina, area. Of these 17 trucks, 7 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.)

P=7/17=0.4118

n=5

x=2

Binomial probability used.

P( x=2) = 0.3451

Binomial Probabilities

Data

Sample size

5

Probability of an event of interest

0.4118

Statistics

Mean

2.059

Variance

1.2111

Standard deviation

1.1005

Binomial Probabilities Table

X

P(X)

0

0.0704

1

0.2465

2

0.3451

3

0.2416

4

0.0846

5

0.0118