The probability of a podiatrist examining seven people until he finds the first patient who has an ingrown toenail is (0.67)^6 * (0.33)^1
The probability that a person has an ingrown toenail is:
p = 33%
This gives
p = 0.33
Using the complement rule, the probability that a person does not have an ingrown toenail is:
q = 1 - 0.33
q = 0.67
When he examines 7 people before he sees a patient with an ingrown toenail, the event is represented as:
P = q^6 * p
So, we have:
P = (0.67)^6 * (0.33)^1
Hence, the probability is (0.67)^6 * (0.33)^1
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