Suppose that 75% of all trucks undergoing a brake inspection at a certain inspection facility pass the inspection. consider groups of 15 trucks and let x be the number of trucks in a group that have passed the inspection. what is the probability that there will be between 8 and 10 trucks (inclusive) which pass the inspection?

0.2962

Step-by-step explanation:

Given : The proportion of all trucks undergoing a brake inspection at a certain inspection facility pass the inspection = 0.75

Since , the proportion of trucks pass the inspection is certain for each ruck.

⇒  It is Binomial distributed.

i.e.

We consider : Groups of 15 trucks and Let X be the number of trucks in a group that have passed the inspection.

i.e. n= 15

Then ,

  [Rounded to nearest 4 decimal places.]

Hence, the probability that there will be between 8 and 10 trucks (inclusive) which pass the inspection =0.2962