When treated with an​ antibiotic, 98​% of all the dolphins are cured of an ear infection. If 5 dolphins are​ treated, find the probability that exactly 4 are cured. Question content area bottom Part 1 The probability is enter your response here. ​(Round your answer to 4 decimal​ places.)

Answer 1

The probability that exactly 4 out of 5 dolphins are cured is calculated as follows:

P(4 dolphins cured) = (5 choose 4) * (0.98^4) * (0.02^1)
= 5 * 0.922368 * 0.02
= 0.0922376

Therefore, the probability that exactly 4 out of 5 dolphins are cured is 0.0922.