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Determine the area under the standard curve that lies between z = -2 and z =...

Determine the area under the standard curve that lies between z = -2 and z = -0.3

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Answer #1

We want to determine the area under the standard curve that lies between z = -2 and z = -0.3.

That means, we want to find P(-2 < Z < -0.3)

P(-2 < Z < -0.3)

= P(Z < -0.3) - P(Z < -2)

= [ 1 - P(Z < 0.3) ] - [ 1 - P(Z < 2) ]

= 1 - P(Z < 0.3) - 1 + P(Z < 2)

= P(Z < 2) - P(Z < 0.3)

= 0.9772 - 0.6179

= 0.3593

=> P(-2 < Z < -0.3) = 0.3593

Therefore, the area under the standard curve that lies between z = -2 and z = -0.3 is 0.3593

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