Question

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 1

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.