Compute the following probabilities using your calculator. Assume Z is a standard normal random variable. Round all answers to three decimal places.

A. P(0

B. P(−1.15

C. P(Z>−1.3))=

D. P(0

E. P(−1.85

F. P(Z>−1.2)=

Suppose the random variable xx is best described by a normal distribution with μ=29μ=29 and σ=3.4σ=3.4. Find the zz-score that corresponds to each of the following xx values.

Round answers to three decimal places

(a) x=16.2
z=

(b) x=33.4
z=

(c) x=17.2
z=

(d) x=38.6
z=

Find the following probabilities for the standard normal random variable z:

Round answers to three decimal places.

(a) P(z≤2.21)=

(b) P(z>−2.27)=