Ifxis a normally distributed continuous random variable with mean = 23 andStd Dev = 4, find the following:

a.What is the probability thatxis between 18 and 23.5?

b.What is the probability thatxis between 25 and 32?

c.What percentage of the population will be greater than 20?

d.What is the value ofxwhere approximately 30% of the population lies less thanx?

e.What is the value ofxwhere approximately 25% of the population lies greater thanx?

f.Ifx= 18.9, what is the percentile associated withx?

g.Find the limits onxifxmust fall in the middle 50% of all scores.

h.Find the limits onxif only 5% of the population values are excluded from both the low values ofxand the high value ofx.