Suppose that f (x) = 1.5x2 for -1 < x < 1 and f (x) = 0 otherwise. Determine the following probabilities. Round your answers to three decimal places (e. g. 98.765).

(a)P(0 < X)
(b)P(0.5 < X)
(c)P(-0.5 = X = 0.5)
(d)P(X<-2)
(e)P(X < 0 or X>-0.5)
(f) Determine x such that P(x < X) = 0.05.

Find the slope of a line given the following two points

The distribution of the amount of money spent by students for textbooks in a semester is approximately normal in shape with a mean of $235 and a standard deviation of $20. according to the standard deviation rule, how much did almost all (99.7%) of the students spend on textbooks in a semester?

Spencer has 1/3 pound of nuts he divides them equally into 4 bags what fraction of a pound of nuts is in each bag