Ignore the messed up work in between the parts Cassandra is

Ignore the messed up work in between the parts.

Cassandra is preparing for the school championships in discuss. In each throw she gets a distance X that has been shown by her friend Brittany to be a uniformly distributed random variable wit values between 40 feet and 60 feet. Assume that on one particular day Cassandra throws the discuss a total of 48 times. Let S denote the sum of all the distances she gets in the throws. What is the expected value of S? What is the variance of S? What is the PDF of S? What is the probability that S lies between 2350 feet and 2500 feet?

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