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Find the following probability for the standard normal random variable z. a. P(z=1) b. P(zs1) e. P(-1szs1) f. P(-2szs2) c. P(z< 1) d. P(z>1) g. P(-2.94szs0.31) h. P(-0.04

Find the following probability for the standard normal random variable z. a. P(z=1) b. P(zs1) e. P(-1szs1) f. P(-2szs2) c. P(z< 1) d. P(z>1) g. P(-2.94szs0.31) h. P(-0.04

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A through H please 

Find the following probability for the standard normal random variable \( z \). a. \( P(z = 1) \) b. \( P(z \leq 1) \) c. \( P(z < 1) \) d. \( P(z > 1) \) e. \( P(-1 \leq z \leq 1) \) f. \( P(-2 \leq z \leq 2) \) g. \( P(-2.94 \leq z \leq 0.31) \) h. \( P(-0.04 < z < 1.89) \) *Note:* a. \( P(z = 1) \) = [ \_\_\_ ] (Round to three decimal places as needed.) There are no graphs or diagrams in this text.
Transcribed Image Text:Find the following probability for the standard normal random variable \( z \). a. \( P(z = 1) \) b. \( P(z \leq 1) \) c. \( P(z < 1) \) d. \( P(z > 1) \) e. \( P(-1 \leq z \leq 1) \) f. \( P(-2 \leq z \leq 2) \) g. \( P(-2.94 \leq z \leq 0.31) \) h. \( P(-0.04 < z < 1.89) \) *Note:* a. \( P(z = 1) \) = [ \_\_\_ ] (Round to three decimal places as needed.) There are no graphs or diagrams in this text.
Expert Solution
Step 1

Z is the standard normal distribution and it is continuous distribution.

  • P(X=a)= 0 if x is the continuous distribution.
  • Note: this probability value calculated from standard normal distribution table.

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