Question

4.) SWA university provides bus service to students while they are on campus. A bus arrives at the North main Street and College Drive stop every 30 minutes between 6am and 11am during weekdays. Students arrive at the bus stop at random times. A time that a student waits is uniformly distributed from 0 to 30 minutes.

What is the probability a student will wait between 10 and 20 minutes?

Please show work using Excel.

Answer 1

Consider

X : Waiting time of the student

Here given that X follow a uniform distribution

so we get a = 0 and b = 30

We are asked to find the

We use formula

Here c = 10 and d = 20

Answer:-

I hope this will help you :)

Hint :

Using excel

You can calculate numerator and denominator using excel

Select empty box form excel and type

=20 - 10    and press enter

Do not forget to type = sign

for denominator

select other empty box and type

=30 -0

and press enter

then type = 10 / 30 do not forget to type = sign

then press enter

you get 0.3333333

I hope this will help you :)