Compute Pr(Z<-1.54)

Question

Suppose that Z is a standard normal random variable. Compute Pr(Z<−1.54).

(If needed, round answers to 3 decimal places)

Answer 1

using the empirical rule,z = 1-2-3 standard deviation have probability 68 - 95- 99.7

z=-1.54 is roughly between -1 and -2. z=-2 has (1-.95)/2 = .05/2 = .025 probability less than -1.54

but for a more exact solution use z tables or a z calculator to get .059 rounded to 3 decimals