Let X be a random variable with mean= 5 and SD = .5 a) Use the Chebychev inequality to estimate Pr(3 less than or equal to X less than or equal to 5) b) If X were normally distributed, what would be...

Let X be a random variable with mean= 5 and SD = .5

a) Use the Chebychev inequality to estimate Pr(3 less than or equal to X less than or equal to 5)

b) If X were normally distributed, what would be the excat probability that X is between 3 and 5 inclusive?

c) Reconcile the difference between the answers a and b