Questions: Suppose that a random variable has mean 5.0 and standard deviation 2.89.

a. What is a lower bound on the probability that is within 1.2 standard deviations of its mean?

b. Suppose the actual distribution of is continuous uniform(0,10), which has mean 5.0 and standard deviation 2.89. What is the actual probability that is within 1.2 standard deviations of its mean?

c. Now suppose the actual distribution of is gaussian(5.0,2.89). What is the actual probability that is within 1.2 standard deviations of its mean?