Question

X values and probabilities

1. Given μ_X = 750, σ_X = 100

        a) find the p(X < 970)

        b) find the p(X > 724)

        c) find the p(617 < X < 980)

        d) find X0 if p(X > X0) = .50

        e) find X0 if p(X < X0) = .0643

        f) find X0 if p(X > X0) = .4129

        g) find the 23^rd percentile of X

        h) find the two X values that are the boundary of the middle 86%, i.e. p(X0 < X < X1) = .86 and X0 and X1 are the same number of SD's away from the mean.

        i) find the two X values that are the boundary of the middle 36%, i.e. p(X0 < X < X1) = .36 and X0 and X1 are the same number of SD's away from the mean.

Answer 1