Answer to Question #183833 in Statistics and Probability for Kabelo

Question

A company has a fleet of cars available for rent. Statistics that the Mercedes AMG G63 is the most rented car among their fleet and one in four customers request this make

If 5 of todays rentals are selected, what ist the probability that 2 clients would have rented AMG G63?

Answer 1

$\text{Let A event that is rented Mercedes AMG G63}$

$\text {the probability of the occurrence of the event A:}$

$p(A) =\frac{1}{4} =0.25;p =0.25$

$\text{probability that the event A will not occur in this test:}$

$\bar{p(A)}= q(A) = 1-p = 0.75$

$\text{Select 5 rental options for today is an independent test}$

$\text{apply the Bernoulli formula:}$

$p{2 \atop 2}(A)=C{2 \atop 2}p^2q^3= 10*0.25^2*0.75^3\approx 0.26$

Answer:0.26