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Find the area under the standard normal probability distribution between the fol

ID: 3321017 • Letter: F

Question

Find the area under the standard normal probability distribution between the following pairs of z-scores. a, z=0and z = 1.00 b, z 0 and z = 2.00 c. z-0 and z -3.00 d.z=0and z =0.97 o.z=-1.00 and z=0 f, z=-2.00 and z=0 9. z -1.86 and z 0 h, z=-0.97 and z=0 a. The area under the standard normal probability distribution is Round to three decimal places as needed.) b. The area under the standard normal probability distribution is . (Round to three decimal places as needed.) distribution is . C. The area under the standard normal probabil (Round to three decimal places as needed.) d. The area under the standard normal probability distribution is (Round to three decimal places as needed.) e. The area under the standard normal probability distribution is Round to three decimal places as needed.) f. The area under the standard normal probability distribution is (Round to three decimal places as needed.) g. The area under the standard normal probability distribution is Rnund to three derimal nlaras as needed Enter your answer in each of the answer boxes.

Explanation / Answer

Solution:

a. the area under the standard normal probability distribution is 0.3413
P(0 < Z < 1) = 0.3413
b. the area under the standard normal probability distribution is 0.4772
P (0 < Z < 2 )=0.4772
c. the area under the standard normal probability distribution is 0.4987
P(0 < Z < 3) = 0.4987
d. the area under the standard normal probability distribution is 0.334
P (0 < Z < 0.97 ) = 0.334
e. the area under the standard normal probability distribution is 0.6753
P (1 < Z < 0.97 ) = 0.6753
f. the area under the standard normal probability distribution is 0.4772
P (2 < Z < 0) = 0.4772
g. the area under the standard normal probability distribution is 0.4686
P (1.86 < Z < 0 )=0.4686
h. the area under the standard normal probability distribution is 0.334
P (0.97 < Z < 0 ) = 0.334

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