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
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
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: