Question

According to the Center for disease control, 15% of US adults are estimated to have a chronic kidney disease. A random sample of 150 US adults are selected. What is the probability that exactly 35 have chronic kidney disease

Answer 1

`P(X=35) =0.2\%`

Explanation:

From the question we are told that

Sample space n = 150

Sample percentage p = 0.15

Generally people without the disease in the set is give as X

`X= 1-p`

`X= 0.85`

35 have kidney disease,

`P(X=35) = C(150,35)*(0.15)^35*(0.85)^115`

`P(X=35) = 0.0021`

`P(X=35) =0.2\%`