1.) The commuter trains on the Red Line for the Regional Transit Authority (RTA) in Cleveland, OH, have a waiting time during peak rush hour periods of eight minutes ("2012 annual report," 2012). (a) State the random variable.(b) Find the height of this uniform distribution.

a) For this case we define the random variable as X ="waiting time during peak hours" and we know that this distribution follows an uniform distribution:

Where a and b represent the limits of the distribution.

b)

And the height for this case would be 0.125

Step-by-step explanation:

Part a

For this case we define the random variable as X ="waiting time during peak hours" and we know that this distribution follows an uniform distribution:

Where a and b represent the limits of the distribution.

Part b

For this case the density function would be given by:

And the height for this case would be 0.125

And  for other case.

The cumulative distribution function would be given by:

it should be a and d. lmk if i'm wrong xd