Find the indicated Probability. A bank’s loan office uses credit scores in their application process. The credit...

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Statistics

Find the indicated Probability.

  1. A bank’s loan office uses credit scores in their applicationprocess. The credit scores are normally distributed with a mean of705 and a standard deviation of 55. Applicants are offered loans iftheir credit scores are above 670. Find the probability that arandomly selected applicant will be offered a loan.

    1. 0.2611                          b.   0.3811                    c.   0.7389                     d.  0.0703
  1. Scores on a test are normally distributed with a mean of 72.5and a standard deviation of 9.1. Find , the test score whichseparates the bottom 80% from the top 20%. Round to the nearesttenth.

  1. 51.3                             b.   64.9                         c.   80.1                        d.93.7

  1. In one region, the September energy consumption levels forsingle-family homes are found to be normally distributed with amean of 990 kWh and a standard deviation of 198 kWh. For a randomlyselected home, find the probability that the September energyconsumption level is between 1100 kWh and 1250 kWh.

  1. 0.1926                          b.   0.3828                    c.   0.6178                     d.0.8074

  1. The lengths of human pregnancies are normally distributed witha mean of 268 days and a standard deviation of 15 days. What is theprobability that a pregnancy lasts less than 270 days?

  1. 0.4813                          b.   0.5517                    c.   0.50            d.  0.4483

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