Question: Let Y denote a random variable that models the time to deliver adoordash order. Suppose time to deliver a doordash,Y, has a cumulative distribution function

Let Y denote a random variable that models the time to deliver adoordash order. Suppose time to deliver a doordash,Y, has a cumulative distribution function given by

FY(y) ={(0,y <0)(1e^-3y, y0)

(a) Plot the cdf ofY; where 'Y is measured in hours. Suppose thedoordashcompany promises to deliver theorder in at most50 min.s.

(b) What is the probability we do getthe order within the promised time frame?

What is the probability we getan order in the first20 min.s?

(d) The company provides a free giftcard if the delivery time is longer than 50min.s. What is the probability we get a freegiftcard if we already waited25 min.s?

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