Question #178383

A research was conducted in 2017 at the Tema Port to find the ages of cars imported into

the country. According to the research, 10% of the cars imported were less than one-year-

old. Assuming this result holds true for the current period for all cars imported into the

country.

Find the probability that in a random sample of 5 cars at the Tema Port

(i) exactly 3 are less than one-year-old.

(ii) exactly 2 are less than one-year-old.

(iii) none is less than one-year-old

(iv) Find the mean and standard deviation of the distribution if a random

Sample of 200 cars were selected at Tema Port

Expert's answer

We have that:

p = 10% = 0.1

n = 5

This follows the binomial distribution.

The binomial probability is calculated by the formula:

i) m = 3

ii) m = 2

iii) m = 0

iv) n = 200

The mean is calculated by the formula:

The standard deviation is calculated by the formula:

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