Letxbe the number of courses for which a randomly selected student at a certain university is registered. The probability distribution ofxappears in the following table.

x	1	2	3	4	5	6	7
p(x)	0.02	0.02	0.09	0.26	0.39	0.17	0.05

It can be easily verified that=4.69and=1.18.(a) Because=3.51, thexvalues 1, 2, and 3 are more than 1 standard deviation below the mean. What is the probability thatxis more than 1 standard deviation below its mean? P(x<) = (b) Whatxvalues are more than 2 standard deviations away from the mean value (either less than2or greater than+ 2)?(Select all that apply.)

x= 1

x= 2

x= 3

x= 4

x= 5

x= 6

x= 7 (c) What is the probability thatxis more than 2 standard deviations away from its mean value? P(x<2or+ 2<x) =