Ascientist inoculates mice, one at a time, with a disease germ until he finds 3 that have contracted the disease. if the probability of contracting the disease is two sevenths , what is the probability that 8 mice are required? the probability that that 8 mice are required is nothing.

The probability that 8 mice are required is 0.2428.

Step-by-step explanation:

Given : A scientist inoculates mice, one at a time, with a disease germ until he finds 3 that have contracted the disease. If the probability of contracting the disease is two sevenths.

To find : What is the probability that 8 mice are required? The probability that that 8 mice are required is nothing ?

Solution :

Applying binomial distribution,

Where, p is the probability of success

q is the probability of failure q=1-p,

n is total number of trials n=8

r=3

Substitute the values,

Therefore, the probability that 8 mice are required is 0.2428.