Question

Use the following information to answer the next four exercises. Recently, a nurse commented that when a patient calls the medical advice line claiming to have the flu, the chance that he or she truly has the flu (and not just a nasty cold) is only about $4\%$. Of the next $25$patients calling in claiming to have the flu, we are interested in how many actually have the flu.

State the distribution of $X$.

Short answer

The distribution of$X$is$X~B(25,0.04)$

Step-by-step solution

Given information

The number of people being surveyed$=25$

The probability that a person is selected and has flu$=0.04$

Explanation

For $25$trials but a rate of success of $0.04$, variate has got to multivariate model,

$X~B(25,0.04)$