The average stock price for companies making up the S&P 500 is $30, and the standard deviation is $18.20 (Business Week, Special Annual Issue, Spring 2003). Assume the stock prices are normally distributed. (a) What is the probability that a stock price of a company will be more than $40 (to 4 decimals)? (b) What is the probability that a stock price of a company will be lest than $20 (to 4 decimals)?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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The average stock price for companies making up the S&P 500 is $30, and the
standard deviation is $18.20 (Business Week, Special Annual Issue, Spring 2003). Assume
the stock prices are normally distributed.
(a) What is the probability that a stock price of a company will be more than $40 (to 4
decimals)?
(b) What is the probability that a stock price of a company will be lest than $20 (to 4
decimals)?
Transcribed Image Text:The average stock price for companies making up the S&P 500 is $30, and the standard deviation is $18.20 (Business Week, Special Annual Issue, Spring 2003). Assume the stock prices are normally distributed. (a) What is the probability that a stock price of a company will be more than $40 (to 4 decimals)? (b) What is the probability that a stock price of a company will be lest than $20 (to 4 decimals)?
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