Cameron and Leon are roommates who take the bus 396 together almost every weekday to go to Down-Under university. Let X be their waiting time at the bus stop (in minutes) before the bus 396 arrives. The random variable X follows a Bus396 distribution with mean 8.1 and standard deviation 2.2, whose density function roughly looks like: Let X be their waiting time the first time they take the bus 396, let X be their waiting time the second time they take the bus 396, etc. The waiting times at the bus stop are independent. During a term at Down-Under university, Cameron and Leon take that bus together 100 times. Cameron and Leon's average waiting time at the bus stop during the term is X1 + X2+X3 + ... +X100 100 X = 1) a) What distribution does X follow? b) Justify your answer to the previous question. (Note that there are more questions below this free-answer box) c) What is the mean of X? d) Calculate the standard deviation of X. below.) (Enter the exact value in the box below.) (Enter the numerical part of your answer correct to at least 4 decimal places in the box 2) Dr Tatauranga, Cameron and Leon's lecturer at Down-Under university, points out that if you add their 100 waiting tin es at the bus stops during a term, you will see that Cameron and Leon spend hours and hours waiting at the bus stcp over a term! below.) Using the approximation mentioned in question 1), what is the probability that Cameron's total waiting time at the bus stcp over the course of a term will exceed 13 hours? (Enter the numerical part of your answer correct to at least 4 decimal places in the box