EXERCISES Section 3.3 (29-45) 29. The pmf of the amount of memory X (GB) in a purchased flash drive was given in Example 3.13 as d. S is is X 1 2 4 8 16 ch p(x) .05 .10 .35 .40 .10 33. Let X a. C Compute the following: a. E(X) b. V(X) directly from the definition C. The standard deviation of X d. V(X) using the shortcut formula 30. An individual who has automobile insurance from a certain company is randomly selected. Let Y be the num- ber of moving violations for which the individual was cited during the last 3 years. The pmf of Y is found by eco pmf b. SI c. C 34. Suppo y 01 1 2 3 .60 .25 .10 .05 (P(y) a. Compute E(Y). b. Suppose an individual with Y violations incurs a surcharge of $100Y2. Calculate the expected amount of the surcharge. 31. Refer to Exercise 12 and calculate V(Y) and σy. Then determine the probability that Y is within 1 standard devi- ation of its mean value. 32. A certain brand of upright freezer is available in three different rated capacities: 16 ft³, 18 ft³, and 20 ft³. Let X = the rated capacity of a freezer of this brand sold at a certain store. Suppose that X has pmf x 16 18 20 p(x) .2 .5 .3 Is E(X bution 35. A sma its ma magaz x p(x) Suppos copy of If maga value, i magazin express compute 36. Let X be

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 9PPS

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30. An individual who has automobile insurance from a certain company is randomly selected. Let Y be the num- ber of moving violations for which the individual was cited during the last 3 years. The pmf of Y is
y | 1 2 4 8 16
p(y) | .05 .10 .35 .40 .10

a.
Compute E(Y).
b. Suppose an individual with Y violations incurs a surcharge of $100Y^2. Calculate the expected amount of the surcharge.

Transcribed Image Text:EXERCISES Section 3.3 (29-45) 29. The pmf of the amount of memory X (GB) in a purchased flash drive was given in Example 3.13 as d. S is is X 1 2 4 8 16 ch p(x) .05 .10 .35 .40 .10 33. Let X a. C Compute the following: a. E(X) b. V(X) directly from the definition C. The standard deviation of X d. V(X) using the shortcut formula 30. An individual who has automobile insurance from a certain company is randomly selected. Let Y be the num- ber of moving violations for which the individual was cited during the last 3 years. The pmf of Y is found by eco pmf b. SI c. C 34. Suppo y 01 1 2 3 .60 .25 .10 .05 (P(y) a. Compute E(Y). b. Suppose an individual with Y violations incurs a surcharge of $100Y2. Calculate the expected amount of the surcharge. 31. Refer to Exercise 12 and calculate V(Y) and σy. Then determine the probability that Y is within 1 standard devi- ation of its mean value. 32. A certain brand of upright freezer is available in three different rated capacities: 16 ft³, 18 ft³, and 20 ft³. Let X = the rated capacity of a freezer of this brand sold at a certain store. Suppose that X has pmf x 16 18 20 p(x) .2 .5 .3 Is E(X bution 35. A sma its ma magaz x p(x) Suppos copy of If maga value, i magazin express compute 36. Let X be

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