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When treated with an​ antibiotic, 94​% of all the dolphins are cured of a particular bacterial...

When treated with an​ antibiotic, 94​% of all the dolphins are cured of a particular bacterial infection. If 6 dolphins with the particular bacterial infection are​ treated, find the probability that exactly 3 are cured.

Math   Statistics-And-Probability   
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Answer #1

Solution:-

Assuming the events are independent, then the probability of obtaining exactly x successes, P(x), in n independent trials is given by   P(x) = (nCx) pxqn-x where p is the probability of success on a single trial and q is the probability of failure on a single trial.

We will consider a ‘success’ a dolphin being cured.

The probability a dolphin is cured is 0.94.

The probability a dolphin is not cured is thus 1 – 0.94, or 0.06.

Thus, n = 6, x = 3, p = 0.94, and q = 0.06.

Substitute the values.

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