Question

the experimental probability that a delivery service will deliver a package late is 3%. an employee at the delivery service predicts that 45 out of 15,000 packages will be delivered late. is this prediction reasonable? Justify your answer.

Answer 1

No, the prediction is not reasonable

Explanation:

Given: The experimental probability that a delivery service will deliver a package late is 3%.

An employee at the delivery service predicts that 45 out of 15,000 packages will be delivered late.

To find: If the prediction is reasonable or not??

Solution:

Probability refers to chances of occurrence of some vent.

Experimental probability that a delivery service will deliver a package late = 3% =
`(3)/(100)` = 0.03 (i)

According to an employee at the delivery service, probability that a delivery service will deliver a package late = 45 out of 15,000

=
`(45)/(15000)=(3)/(1000)=0.003` (ii)

No, the prediction is not reasonable (From (i) and (ii))