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Unformatted text preview: 58 Instructors Solutions Manual for Statistics for Business & Economics, 5 th Edition Chapter 5: Discrete Random Variables and Probability Distributions 5.1 a. Discrete b. Discrete c. Discrete d. Discrete 52 Discrete 53 Various answers including; the number of business phone calls on the first day of business, the number of customers in the first month, the number of employees hired in the first week, the number of proposals produced for new clients. 54 Total sales, advertising expenditures, competitors sales 55 Various answers X # of times missing class P(x) F(x) .65 .65 1 .15 .80 2 .10 .90 3 .09 .99 4 .01 1.00 56 a. P(3 x <) = .20 + .20 + .15 = 0.55 b. P(x > 3) = .20 + .15 + .10 = 0.45 c. P(x 4) = .05 + .10 + .20+ .20 + .20 = 0.75 d. P(2 < x 5) = .20 + .20 + .15 = 0.55 57 a. Cumulative probability function: X 1 2 3 4 5 6 7 8 9 P(x) .10 .08 .07 .15 .12 .08 .10 .12 .08 .10 F(x) .10 .18 .25 .40 .52 .60 .70 .82 .90 1.00 b. P(x 5) = .08 + .10 + .12 + .08 + .10 = .48 c. P(3 x 7) = .15 + .12 + .08 + .10 + .12 = .57 59 Instructors Solutions Manual for Statistics for Business & Economics, 5 th Edition 58 a. Probability function: 4 3 2 1 0.4 0.3 0.2 0.1 0.0 Number of Returns Probability: P(x) Probability distribution function Proportion of new cars returned: Correction of defects b. Cumulative probability function: 1 2 3 4 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 Number of Returns Cumulative probability: F(x) Cumulative probability function Proportion of new cars returned: Correction of defects c. = 0 + .36 + 2(.23) + 3(.09) + 4(.04) = 1.25 defects d. 2 2 ( ) x Px x = = 1.1675 defects Chapter 5: Discrete Random Variables and Probability Distributions 60 e. Excel output: 5.9 a. Probability function: 5 4 3 2 1 0.3 0.2 0.1 Orders Probability: P(x) Probability distribution function New furnace orders resulting from prewinter service calls 61 Instructors Solutions Manual for Statistics for Business & Economics, 5 th Edition b. Cumulative probability function: 1 2 3 4 5 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 Orders Cumulative probability: F(x) Cumulative probability function New furnace orders resulting from prewinter service calls c. P(x 3) = .50 d. = 2.45 orders e. = 1.3592 orders f. Excel output: Chapter 5: Discrete Random Variables and Probability Distributions 62 5.10 a. Probability function 53 52 51 50 49 48 47 0.3 0.2 0.1 0.0 Clips Probability: P(x) Probability distribution function Number of paper clips per package b. Cumulative probability function 53 52 51 50 49 48 47 1.0 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0.0 Clips Cumulative probability: F(x) Cumulative probability function Number of paper clips per package c. P(49 x 51) = .70 d. 1 [P(x < 50)] 2 = 1 .1444 = .8556 e....
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This note was uploaded on 03/25/2009 for the course FIN FIN534 taught by Professor Stevenjordan during the Spring '09 term at Korea Advanced Institute of Science and Technology.
 Spring '09
 StevenJordan

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