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Continous probability homework

# Continous probability homework - Probability for a Range...

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Pg. 218 Part I. 1. 1 2. infinite 3. discrete 4. always equal 5. infinite 6. 1 7. any of these 8. .27637 9. .47882+.46080=.93962 10. .07636-.03144=.04492 Part II. 1. In a memo to all those involved in tax preparation, the IRS indicated the mean amount of refund was \$1,600. The distribution of tax returns follows a normal distribution with a standard deviation of \$850. a. What percentage of the returns are between \$1,600 and \$2,000? Probability for a Range From X Value 1600 To X Value 2000 Z Value for 1600 0 Z Value for 2000 0.470588 P(X<=1600) 0.5000 P(X<=2000) 0.6810 P(1600<=X<=2000) 0.1810 b. What percentage of the returns are between \$900 and 2,000?

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Unformatted text preview: Probability for a Range From X Value 900 To X Value 2000 Z Value for 900-0.823529 Z Value for 2000 0.470588 P(X<=900) 0.2051 P(X<=2000) 0.6810 P(900<=X<=2000) 0.4759 c. What percentage of the returns are between \$1,800 and 2,000? Probability for a Range From X Value 1800 To X Value 2000 Z Value for 1800 0.235294 Z Value for 2000 0.470588 P(X<=1800) 0.5930 P(X<=2000) 0.6810 P(1800<=X<=2000) 0.0880 d. Ninety-five percent of the returns are for less than what amount? Ninety-five percent of the returns are for less than 2998.1...
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