Assuming a binomial distribution, four percent of the customers of a mortgage company default on their payments. a sample of five customers is selected. what is the probability that at most two customers in the sample will default on their payments?

We will use binomial distribution in this problem.

The solution would be like this for this specific problem:

P(default) = p = 4% = 0.04 
q = 1-p = 1-0.04 = 0.96 
n = 5

P(r) = nCr*q^(n-r)*p^r 

Required probability = P(r=2) = 5C2*0.96^3*0.04^2 

= 0.0142 OR 1.42%

The probability that at most two customers in the sample will default on their payments is 1.42%.

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,