An article by Erin El Issa titled "2015 American household credit card debt study" (www

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An article by Erin El Issa titled "2015 American household credit card debt study" (www.nerdwallet. com) indicated that for households that had credit card debt, the average debt in 2015 was $15,355. Assume that credit card debt per household has a normal distribution with a standard deviation of $3,000. 

 

a. Determine the percentage of households that have a credit card debt of more than $15,000. 

 

b. One household has a credit card debt that is at the 95th percentile. Determine its credit card debt.