The three most popular options on a certain type of new car are a built-in GPS (A), a sunroof (B), and an automatictransmission (C). If 52% of all purchasers request A, 58% request B, 75% request C, 71% request A or B, 84% request Aor C, 88% request B or C, and 93% request A or B or C, determine the probabilities of the following events. [Hint: "A or B"is the event that at least one of the two options is requested; try drawing a Venn diagram and labeling all regions.](a) The next purchaser will request at least one of the three options.0.85X(b) The next purchaser will select none of the three options.(c) The next purchaser will request only an automatic transmission and not either of the other two options.(d) The next purchaser will select exactly one of these three options.

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Answered: The three most popular options on a…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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 $30,000, a $125 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 31,729, the chance of winning the gas card was 1 out of 31,729, and the chance of winning the shopping card was 31,727 out of 31,729. Complete parts (a) through (d). a. How many fliers do you think the automobile dealership sent out? Assume there is one car and one gas card available. 31729 fliers C 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? H=$5.95 (Round to the nearest cent as needed.) c. Using your answer to (a) and the probabilities…
Dr. Cy Clopps is ophthalmologist and owner of the Spex Appeal Eye Clinic. A review of 100 patient’s records indicated that 30 of these patients have vision insurance. Further, 35 of the 100 patients got bifocal glasses but had no insurance. Finally, 10 of the 100 patients had insurance but did not get bifocals. d. Of those with insurance, what proportion got bifocals? e.Are the events independent? Mutually exclusive? Collectively exhaustive?
The three most popular options on a certain type of new car are a built-in GPS (A), a sunroof (B), and an automatic transmission (C). If 36% of all purchasers request A, 47% request B, 69% request C, 54% request A or B, 75% request A or C, 76% request B or C, and 78% request A or B or C, determine the probabilities of the following events. [Hint: "A or B" is the event that at least one of the two options is requested; try drawing a Venn diagram and labeling all regions.] (a) The next purchaser will request at least one of the three options. (b) The next purchaser will select none of the three options. (c) The next purchaser will request only an automatic transmission and not either of the other two options. (d) The next purchaser will select exactly one of these three options.
a recent senatorial election, 58% of the voters in a certain district were registered as Democrats, 32% were registered as Republicans, and 10% were registered as Independents. The cumbent Democratic senator was reelected over her Republican and Independent opponents. Exit polls indicated that she gained 79% of the Democratic vote, 30% of the Republican ote, and 34% of the Independent vote. ASsuming that the exit poll is accurate, what is the probability that a vote for the incumbent was cast by a registered Republican? (Round your nswer to three decimal places.) E Show My Work (Optional) ?
Samsung wants to run ads for its new Galaxy Phone. Based on a survey conducted, Samsung assigned probabilities to the following events: individual purchased a Galaxy Phone with a probability of 55%, individual recalls seeing the ad with a probability 70%, and individual did not purchase the Galaxy Phone nor recalls seeing the ad with a probability of 40%. What is the probability that the individual recalls seeing the ad or purchases the Galaxy Phone? a. 60% b. 30% c. None of these d. 65% e. 45%
In an inspection of automobiles in a certain Country, 60% of all automobiles had emissions that did not meet EPA regulations. For a random sample of 10 automobiles, compute the following probabilities: a. All 10 automobiles failed the inspection. b. Exactly 6 of the 10 failed the inspection. c. Six or more failed the inspection. d. All 10 passed the inspection.
With regards to a particular gene, the percentage of genotypes AA, Aa, and aa in a particular population are respectively, 60%, 30%, and 10%. Furthermore, the percentages of these genotypes that contract a certain disease are respectively. 1%, 5% and 20%. If a person does contract the disease, what is the probability that the person is of genotype AA?
The three most popular options on a certain type of new car are a built-in GPS (A), a sunroof (B), and an automatic transmission (C). If 53% of all purchasers request A, 60% request B, 76% request C, 70% request A or B, 91% request A or C, 86% request B or C, and 93% request A or B or C, determine the probabilities of the following events. [Hint: "A or B" is the event that at least one of the two options is requested; try drawing a Venn diagram and labeling all regions.] (a) The next purchaser will request at least one of the three options. (b) The next purchaser will select none of the three options. (c) The next purchaser will request only an automatic transmission and not either of the other two options. (d) The next purchaser will select exactly one of these three options.
A cell phone company collects the following data for a month on their customers:The company plans to build a cell phone tower at any one of the areas. It is based on the probability of a customer available in a particular area in the month.Which area will they choose to build the tower?
A market in Boston orders oranges from Florida. The oranges are shipped to Boston from Florida by either railroad, truck, or airplane; an order can take 1, 2, 3, or 4 days to arrive in Boston once it is placed. The following probabilities have been assigned to the number of days it takes to receive an order once it is placed (referred to as lead time): Lead Time Probability 1 .20 2 .50 3 .20 4 .10 1.00 Compute the expected number of days it takes to receive an order and the standard deviation.

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