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When treated with an​ antibiotic, 93​% 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.

Respuesta :

Answer:

the probability is 0.00552

Step-by-step explanation:

If 93% are cured, the percentage not cured will be 100-93 = 7%

let p = probability of being cured = 93% = 93/100 = 0.93

q = probability of being uncured = 7/100 = 0.07

so we proceed to use the bernoulli approach;

we have this as;

P(X = n) = X C n p^n q^n-1

P(X = 3) = 6 C 3 * 0.93^3 * 0.07^3

P(X = 3) = 0.00552