The mean household income in the United States is about $63,000 with a standard deviation of $11,000. Mean household incomes are distributed normally. a. State the approximate distribution of X. X ~...

The mean household income in the United States is about $63,000 with a standard deviation of $11,000. Mean household incomes are distributed normally.

a. State the approximate distribution of X. X ~ ___(__________,___________)

b. Draw and label a normal curve with the above values.

c. What percent of household incomes are between $41,000 and $85,000?

d. Find the probability that a randomly selected household had an income over $100,000.