A regional automobile dealership sent out fliers to prospective customers indicating that they had already won one of three different prizes: an automobile valued at $24 000, a $75 gas card, or a $5 shopping card. To claim his or her prize, a prospective customer needed to present the flier at the dealership's showroom. The fine print on the back of the flier listed the probabilities of winning. The chance of winning the car was 1 out of 31 679, the chance of winning the gas card was 1 out of 31 679, and the chance of winning the shopping card was 31 677 out of 31 679. Complete parts (a) through (d). a. How many fliers do you think the automobile dealership sent out? b. Using your answer to (a) and the probabilities listed on the flier, what is the expected value of the prize won by a prospective customer receiving a flier? μ=? (Round to the nearest cent as needed.) c. Using your answer to (a) and the probabilities listed on the flier, what is the standard deviation of the value of the prize won by a prospective customer receiving a flier?
A regional automobile dealership sent out fliers to prospective customers indicating that they had already won one of three different prizes: an automobile valued at $24 000, a $75 gas card, or a $5 shopping card. To claim his or her prize, a prospective customer needed to present the flier at the dealership's showroom. The fine print on the back of the flier listed the probabilities of winning. The chance of winning the car was 1 out of 31 679, the chance of winning the gas card was 1 out of 31 679, and the chance of winning the shopping card was 31 677 out of 31 679. Complete parts (a) through (d). a. How many fliers do you think the automobile dealership sent out? b. Using your answer to (a) and the probabilities listed on the flier, what is the expected value of the prize won by a prospective customer receiving a flier? μ=? (Round to the nearest cent as needed.) c. Using your answer to (a) and the probabilities listed on the flier, what is the standard deviation of the value of the prize won by a prospective customer receiving a flier?
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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A regional automobile dealership sent out fliers to prospective customers indicating that they had already won one of three different prizes: an automobile valued at
$24 000, a $75 gas card, or a $5 shopping card. To claim his or her prize, a prospective customer needed to present the flier at the dealership's showroom. The fine print on the back of the flier listed the probabilities of winning. The chance of winning the car was 1 out of 31 679, the chance of winning the gas card was 1 out of
31 679, and the chance of winning the shopping card was
31 677 out of 31 679.
Complete parts (a) through (d).a. How many fliers do you think the automobile dealership sent out?
b. Using your answer to (a) and the probabilities listed on the flier, what is the expected value of the prize won by a prospective customer receiving a flier?
μ=?
(Round to the nearest cent as needed.)
c. Using your answer to (a) and the probabilities listed on the flier, what is the standard deviation of the value of the prize won by a prospective customer receiving a flier?
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