A bank%26#039;s loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If an applicant is randomly selected, find the probability of a rating that is between 200 and 275.
Indicated probability.?credit rating
P(200 %26lt; X %26lt; 275)
=standardize
= P((200-200)/50 %26lt; (X - 200)/50 %26lt; (275 - 200)/50)
= P(0 %26lt; Z %26lt; 75/50)
= P(0 %26lt; Z %26lt; 1,5)
= (use calculator for standardnormal dsitribution)
= 0,93319 - 0,5
= 0,43319
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