Answer:
No, the prediction is not reasonable
Step-by-step 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% = [tex]\frac{3}{100}[/tex] = 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
=[tex]\frac{45}{15000}=\frac{3}{1000}=0.003[/tex] (ii)
No, the prediction is not reasonable (From (i) and (ii))