Question

You may need to use the appropriate appendix table to answer this question. Given that z...

You may need to use the appropriate appendix table to answer this question.

Given that z is a standard normal random variable, compute the following probabilities. (Round your answers to four decimal places.)

(a)

P(−1.96 ≤ z ≤ 0.49)

(b)

P(0.52 ≤ z ≤ 1.24)

(c)

P(−1.75 ≤ z ≤ −1.02)

Pls explain how you did it

Homework Answers

Answer #1

Solution :

Using standard normal table,

(a)

P(-1.96 z 0.49) = P(z 0.49) - P(z -1.96) = 0.6879 - 0.025 = 0.6629

(b)

P(0.52 z 1.24) = P(z 1.24) - P(z 0.52) = 0.8925 - 0.6985 = 0.1940

(c)

P(-1.75 z -1.02) = P(z -1.02) - P(z -1.75) = 0.1539 - 0.0401 = 0.1138

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