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An individual's credit score is a number calculated based on that person's credit history that helps a lender determine how much s/he should be loaned or what credit limit should be established for a credit card. An article in the Los Angeles Times gave data which suggested established for a credit card. An article in the Los Angeles Times gave data which suggested that a beta distribution with parameters $A=150, B=850, \alpha=8, \beta=2$ would provide a reasonable approximation to the distribution of American credit scores. [Note: credit scores are integer-valued.](a) Let $X$ represent a randomly selected American credit score. What are the mean and standard deviation of this random variable? What is the probability that $X$ is within 1 standard deviation of its mean?(b) What is the approximate probability that a randomly selected score will exceed 750 (which lenders consider a very good score)?

(a) 710, 84.423, .684 (b) .376

Intro Stats / AP Statistics

Chapter 3

Continuous Random Variables and Probability Distributions

Section 9

Supplementary Exercises

Continuous Random Variables

Missouri State University

Cairn University

Boston College

Lectures

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Okay, so in this question, in part a of this question were given that the mean mu is equal to 720 on a standard deviation. Sigma is equal to 82 0.902 So the probability that Z is greater negative one less than one is equal to the probability a negative one less than Z less than zero. Plus the probability that soon lessons e lesson. Okay, so therefore, you know, to damn p Yeah, sure. I just didn't see Yeah, he's less than one is gonna be equal to X shoot with three for To me she calls you six 8 to 6 Smoke to playing with two eso weaken Represent this a little graph No de frustration is like that. He's this minus one. This is Well, that's what, don't you? This'd shader They were trying to cut their for. Okay, No part b of this question has found probability that X is greater than paid 100. That's just the probability in Z Skeeter 800 minus 7. 20 over 82.902 Physical to probability, Aggie is greater than 0.96 Yeah, which is equals Europe five minus probability to Western Z less than 0.96 which is equal to 0.5 Monastir 3315 x is equal to 0.168

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