2. Find the z-value to the left of the mean for the following. Draw figures of a

Question

2. Find the z-value to the left of the mean for the following. Draw figures of a normal distribution to explain your answers. a, b. c, d. e, 76% of the area under the distribution curve lies to the right of it. 85.34% of the area under the distribution curve lies to the right of it. 98.99% of the area under the distribution curve lies to the right of it. 79.85% of the area under the distribution curve lies to the right of it. 65.74% of the area under the distribution curve lies to the right of it.

Explanation / Answer

Ans:

a)P(Z>=z)=0.76

P(Z<=z)=1-0.76=0.24

z=-0.71

b)P(Z>=z)=0.8534

P(Z<=z)=1-0.8534=0.1466

z=-1.05

c)P(Z<=z)=1-0.9899=0.0101

z=-2.32

d)P(Z<=z)=1-0.7985=0.2015

z=-0.836

e)P(Z<=z)=1-0.6574=0.3426

z=-0.405

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