Question

Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1.
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Answer #1

Solution:

1 ) Shaded area = P(Z < 1.13 ) = 0.8708 ...use z table

2) Shaded area = P(Z > -1.82)

= 1 - P(Z < -1.82)

= 1- 0.0344

=  0.9656

3) Shaded area is 0.4013

Area is to the left of z score

P(Z < z score ) = 0.4013

From z table , search 0.4013 probability and see corresponding z value.

Required z score = -0.25

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