Question

If there was a 24% chance of having a contract signed to purchase a home in any one month and there were 55 homes on the market, what would be the probability that exactly 15 of them would have a contract signed during this month?

a. 10.3%
b. 24.0%
c. 66.7%
d. 23.0%

Answer 1

a. 10.3%

Step-by-step explanation:

P∝F of Binomial distribution is given as Pr.(x=x) = nCxP^x(1-p)^(n-x)

P = 0.24, n= 55, x =15 Note: C = Combination

Pr.(x = 15) = 55"C"15(0.24)^15(0.76)(55-15)

Pr.(x = 15) = 55"C"15(0.24)^15(0.76)^40

Pr.(x = 15) = 0.1026

Pr.(x = 15) = 10.26%

Pr.(x = 15) = 10.3%