Question

A.) what is the probability that Andrew waits for 15 minutes ?B.) what is the probability that Andrew waits between 13 and 15 minutes ?

Answer 1

The Solution:

The sample space (S) for the waiting time, rounded to minutes is given as below:

`S=\mleft\lbrace12,13,14,15,16,17,18\mright\rbrace`

A. To find the probability that Andrew waits for 15 minutes, we have

`\text{prob}(15\text{ minutes) =}\frac{\text{ number of 15}}{\text{ total number of sample}}=(1)/(7)=0.14286\approx0.143`

B. The probability that Andrew waits between 13 and 15 minutes is

`\text{Prob( between 13 and 15) }=\frac{\text{ number between 13 and 15}}{\text{ total number of sample}}=(3)/(7)=0.42857\approx0.429`

Therefore, the correct answers are:

A. 0.143

B. 0.429