Suppose a bus arrives at a bus stop every 35 minutes. if you arrive at a bus stop at a random time, what is the probability that you will have to wait at least 20 minutes for the bus?
a- 3/7
b- 1/2
c- 5/7
d- 3/4

Step-by-step explanation:

Given : Suppose a bus arrives at a bus stop every 35 minutes

To Find: If you arrive at a bus stop at a random time, what is the probability that you will have to wait at least 20 minutes for the bus?

Solution:

A bus arrives at a bus stop every 35 minutes.

You arrive at a bus stop at a random time.

So, probability that you will wait at most 20 minutes =

So, The probability that you will wait at least 20 minutes =

                                                                                               =  

                                                                                               =  

                                                                                               =  

Thus the probability that you will have to wait at least 20 minutes for the bus is    

if a = 1,   and b = 2, then the answer is 47.99999999. if you round that to the nearest whole number, the answer is 48.