question archive 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___
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