SOLUTION: A local bank has determined that the daily balances of the checking accounts of its cut tomers are normally distributed with an average of $280 and a standard deviation of $20. Wha

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Question 1177899: A local bank has determined that the daily balances of the checking accounts of its cut tomers are normally distributed with an average of $280 and a standard deviation of $20. What percentage of lances of more a. than $275? "What percentage of its customers has daily balances of less than $243? ices is between What percentage of its customers' $241 and $301.60?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Normal Distribution: μ = $280 and σ = $20.
Using TI or similarly an inexpensive calculator like a Casio fx-115 ES plus
P(x > 275) = 1 - P(x ≤ 275) = 1 - normalcdf(-9999, 275, 280, 20) = 1-.4013= .5787
P(x  ≤ 243) = normalcdf(-9999, 243, 280, 20) = .0287
P( 241 < x < 301.60) = normalcdf(241,301.60, 280, 20) = .8343
Wish You the Best in your Studies.