In: Statistics and Probability
X values and probabilities
1. Given μX = 750, σX = 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 23rd 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.