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The average income tax refund for the 2009 tax year was ​$3109. Assume the refund per...

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Statistics

The average income tax refund for the 2009 tax year was ​$3109.Assume the refund per person follows the normal probabilitydistribution with a standard deviation of ​$917. Complete parts athrough d below.

a. What is the probability that a randomly selected tax returnrefund will be more than $2000?

b. What is the probability that a randomly selected tax returnrefund will be between $1500 and $2900?

c. What is the probability that a randomly selected tax returnrefund will be between $3400 and 4000​?

d. What refund amount represents the 35th percentile of tax​returns?

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