If the variable below is normally distributed with a mean of 0 and a standard deviation of 1, and the proportion of observations that are greater than a, is 3%. Find the value of a. [Reference: Table A: Standard Normal Probabilities] O 1.55 O 1.88 O 1.96 O2.05 O 2.75 A -a a

If the variable below is normally distributed with a mean of 0 and a standard deviation of 1, and the proportion of observations that are greater than a, is 3%. Find the value of a. [Reference: Table A: Standard Normal Probabilities] O 1.55 O 1.88 O 1.96 O2.05 O 2.75 A -a a

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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Question

If the variable below is normally distributed with a mean of 0 and a standard deviation of 1, and the proportion of observations that are greater than a, is 3%. Find the value of a. [Reference: Table A: Standard Normal
Probabilities]
-a
O 1.55
O 1.88
O 1.96
O 2.05
O 2.75
O 3.45
O Not enough information to determine
a

Expert Solution

Step 1

$g i v e n d a t a n o r m a l d i s t r i b u t i o n μ = 0 σ = 1 s o t h e d i s t r i b u t i o n i s s \tan d a r d n o r m a l d i s t r i b u t i o n Z ~ N (0, 1) P (x > α) = 3 % α = ?$

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