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%.

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).