question archive Sketch the area under the standard normal curve over the indicated interval and find the specified area

Sketch the area under the standard normal curve over the indicated interval and find the specified area

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Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Enter a number. Round your answer to four decimal places.) The area between z = 0.44 and z = 1.83 is___

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Answer: Here, we wants to find the area between Z = 0.44 and Z = 1.83.

Here, we want to find P(0.44 < Z < 1.83) = P(Z < 1.83) - P(Z < 0.44) ...(1)

Let us find the probability, P(Z < 1.83).

Using Excel Command: 

P(Z < 1.83) = "=NORMSDIST(z)" = "=NORMSDIST(1.83)" = 0.9664

Let us find the probability, P(Z < 0.44).

Using Excel Command: 

P(Z < 0.44) = "=NORMSDIST(z)" = "=NORMSDIST(0.44)" = 0.6701

Plug these values in equation (1), we get 

P(0.44 < Z < 1.83) = P(Z < 1.83) - P(Z < 0.44) = 0.9664 - 0.6701 = 0.2963

Answer: Therefore, P(0.44 < Z < 1.83) = 0.2963.

Here is the sketch of the area between z = 0.44 and z = 1.83.

The area between z = 0.44 and z = 1.83 is 0.2963.

Please see the attached file for the complete solution