1. Find the following probabilities for the standard normal random variable z:
a. P(z > 1.46)
b. P(z < -1.56)
c. P(0.67 ≤ z < 2.41)
d. P(-1.96 ≤ z < -0.33)
e. P(z ≥ 0)
f. P(-2.33 < z < 1.50)
2. Find a value of the standard normal random variable z, call it z0, such that
a. P(z ≥ z0) = 0.05
b. P(z ≥ z0) = 0.025
c. P(z ≤ z0) = 0.025
d. P(z ≥ z0) = 0.10
e. P(z > z0) = 0.10
4. Suppose x is a random variable best described by a uniform probability distribution with c = 3 and d = 7.
a. Find f(x).
b. Find the mean and standard deviation of x.
c. Find P().