Question

Answer the following questions about the standard normal random variable Z. (Use 4 decimal places in your answers to parts a. through f.) a. What is P(-1.5 < Z < 0.69)? .6754 Correct: Your answer is correct. b. What is P(0 < Z < 1.47)? .4278 Correct: Your answer is correct. c. What is P(Z > -1.62)? .9525 Correct: Your answer is correct. d. What is P(Z < -2.57)? .0052 Correct: Your answer is correct. e. What is P(Z < 2.57)? .9955 Correct: Your answer is correct. f. What is P(-2.49 < Z < -1.22)?

Answer 1

Answer:

a) P=0.6881

b) P=0.4292

c) P=0.9474

d) P=0.0051

e) P=0.9950

f) P=0.1048

Step-by-step explanation:

a) What is P(-1.5 < Z < 0.69)?

$P(-1.5 < z < 0.69)=P(z<0.69)-P(z<-1.5)\\\\P(-1.5 < z < 0.69)=0.7549-0.0668=0.6881$

b) What is P(0 < Z < 1.47)?

$P(0 < z < 1.47)=P(z<1.47)-P(z<0)\\\\P(0 < z < 1.47)=0.9292-0.5=0.4292$

c) What is P(Z > -1.62)?

$P(z>-1.62)=0.9474$

d) What is P(Z < -2.57)?

$P(z<-2.57)=0.0051$

e) What is P(Z < 2.57)?

$P(z<2.57)=0.9950$

f) What is P(-2.49 < Z < -1.22)?

$P(-2.49 < Z < -1.22)=P(z<-1.22)-P(z<-2.49)\\\\P(-2.49 < Z < -1.22)=0.1112-0.0064=0.1048$