3. An experiment has the probability distribution given in the table below. 1 2 3 P(X = x) 0.5 0.1 0.3 0.1 a) What is the probability that a single randomly-chosen value of X is less than 2.5? Calculate out to a numneric answer. You must show all of your steps to receive full credit. b) )A sample of size 49 is randomly selected from the population. What is the probability that the sample mean is less than 2.5? Calculate out to a numeric answer. You must show all of your steps to receive full credit. NOTE: Insert Math Equation does not have a way to insert the notation for sample mean. If you are referring to the random variable, type in X-bar. If you are referring to the calculated value, type in x-bar.

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