A random variable has a triangular probability density function with a =50,b=375, and m=250. (a) Sketch the probability distribution function for this random variable. Choose the correct graph below. (i) (ii) (iv) (b) What is the probability that the random variable will assume a value between 70 and 250 ? If required, round your answer to four decimal places, (c) What is the probability that the random varkable will assume a value greater than 2903 if required, round your answer to four decimal places