Suppose the effect (change in your prognosis) of a new cancer drug can be described by a normal distribution: N (5,3). (where negative infinity means instant death; and positive infinity means completely cured). I then go and take the drug... a. What is the probability that my prognosis will improve by more than 6.5? i.e. P(X >6.5)? - Draw a graph illustrating N(5,3) and shade-in the region that corresponds P(X>6.5) (5pts) - Compute the Z-score for X=6.5 (5pts) - Draw the corresponding graph for N(0,1) (5pts) - Compute the probability (5pts)