Use a table of areas to find the specified area under thestandard normal curve:

Question

Use a table of areas to find the specified area under thestandard normal curve:
1) The area that lies to the right of 0.59

Find the indicated probability or percentage for thenormally distributed variable:
2) A bank's loan officer rates applicants for credit. Theratings are normally distributed with a mean of 200 and a standarddeviation of 50. If an applicant is randomly selected, find theprobability of a rating that is between 170 and 220.
1) The area that lies to the right of 0.59

Find the indicated probability or percentage for thenormally distributed variable:
2) A bank's loan officer rates applicants for credit. Theratings are normally distributed with a mean of 200 and a standarddeviation of 50. If an applicant is randomly selected, find theprobability of a rating that is between 170 and 220.

Explanation / Answer

1) referring to a Z table, you should get 0.7224 2) the z-scores are (170-200)/50 = -0.60 and (220-200)/50 = 0.40,which correspond to 0.2743 and 0.6554 in the Z table, so the answeris 0.6554-0.2743 = 0.3811 = 38.11%

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