Question 993868
A short discussion of p^ relative to this problem.  The p^ symbol is used to refer to a proportion of the sample of the entire group.  In this problem p^ would refer to the proportion of the sample group that prefer to take online classes.
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1) Histogram will approximate a bell (normal) probability curve.
2) The mean of the sampling distribution is equal to the mean of the population.
3) In practice, a sample size of 30 is large enough when the population distribution is roughly bell-shaped.  Our sample size is 150 so this meets the constraint and the histogram approximates a normal(bell) probability curve.
4) P = 0.35, Q = 0.65, n = 150, then
mean = 150 * .35 = 52.5
std.dev. = square root( (0.35*0.65) / 150 ) = 0.038944405