Question

The average income tax refund for the 2009 tax year was ​$2992 . Assume the refund...

The average income tax refund for the 2009 tax year was

​$2992

.

Assume the refund per person follows the normal probability distribution with a standard deviation of

​$946

.

Complete parts a through d below.

a. What is the probability that a randomly selected tax return refund will be more than

​$1900

​?

nothing

​(Round to four decimal places as​ needed.)

b. What is the probability that a randomly selected tax return refund will be between

​$1600

and

​$2600

​?

nothing

​(Round to four decimal places as​ needed.)

c. What is the probability that a randomly selected tax return refund will be between

​$3400

and

​$4000

​?

nothing

​(Round to four decimal places as​ needed.)

d. What refund amount represents the

35th

percentile of tax​ returns?

​$nothing

​(Round to the nearest dollar as​ needed.)

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