About 16% of people who get their feet examined are found to have athlete's foot. What is the probability of a podiatrist examining five people until he finds the first patient who has athlete's foot? (0.16) ^5 (0.84) ^4 (0.16) ^1 (0.16) ^4 (0.84) ^1 (0.84) 5 1 - (0.16) ^4

Answer: 0.3983

Step-by-step explanation:

This can be likened to having 5 samples And determining the probability of getting 1 of these 5 people getting an athlete foot.

This is Solved by using the probability distribution formula selection method for finding the probability of occurrence of a random variable. X.

When X=r, the Formula is denoted by:

P (X=r) = nCr * p^r * q^n-r

Where n=number of sample and in this case n=5

p = probability of success and in this case, p=0.16

q = probability of failure = 1-p = 1-0.16 = 0.84

r = favourable outcome from available sample = 1.

P (X=1) = 5C1 * 0.16^1 * 0.84^4

P (X=1) = 0.3983.