Answer to Question #217723 in Statistics and Probability for qianhe

Question

Topic: Normal Distribution Distribution & Inverse Normal Distribution

1.) The continuous random variable Z has a standard normal distribution, N (0,1). Find the following probabilities by using tables.

a.) P(Z>2)

b.) P(Z<1.35)

c.) P(-0.8<Z<1.8)

Answer 1

a) $P(Z>2)=1-P(Z<2)=1-0.9772=0.0228.$

b) $P(Z<1.35)=0.9115.$

c) $P(-0.8<Z<1.8)=P(Z<1.8)-P(Z<-0.8)=$

$=0.9641-0.2119=$ 0.7522.