Question

Find the following z values for the standard normal variable Z. Use Table 1. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)

a.	P(Z ≤ z) = 0.9478
b.	P(Z > z) = 0.6140
c.	P(−z ≤ Z ≤ z) = 0.80
d.	P(0 ≤ Z ≤ z) = 0.2392

Hints

Answer 1

Hello Sir/ Mam

S.No.	Required Probability	Required Z-Score
a.	P(Z ≤ z) = 0.9478	1.623
b.	P(Z > z) = 0.6140	-0.292
c.	P(−z ≤ Z ≤ z) = 0.80	1.281
d.	P(0 ≤ Z ≤ z) = 0.2392	0.638

I calculated these values using the combination of goal seek function of MS-Excel and the function "=NORM.S.DIST(p-value,TRUE)" by aksing the goal seek function to calculate the required probabilities.

(a)

(b)

(c)

(d)

I hope this solves your doubt.

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