Answer:
a) 

b) 
c) We want to find a value c who satisfy this condition:

And using the cumulative distribution function we have this:

And solving for c we got:

Step-by-step explanation:
For this case we define the random variable X as he amount of time (in minutes) that a particular San Francisco commuter must wait for a BART train, and we know that the distribution for X is given by:

Part a
We want this probability:

And for this case we can use the cumulative distribution function given by:

And using the cumulative distribution function we got:

For the probability
if we use the cumulative distribution function and the complement rule we got:

Part b
We want this probability:

And using the cdf we got:

Part c
We want to find a value c who satisfy this condition:

And using the cumulative distribution function we have this:

And solving for c we got:
