A university found that 30% of its students withdraw without completing the introductory statistics course. Assume tl a. Compute the probability that 2 or fewer will withdraw (to 4 decimals). b. Compute the probability that exactly 4 will withdraw (to 4 decimals). c. Compute the probability that more than 3 will withdraw (to 4 decimals).
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- A production manager knows that 5% of components produced by a particular manufacturing process have some defect. Six of these components, whose characteristics can be assumed to be independent of each other, are examined.a. What is the probability that none of these components has a defect?b. What is the probability that one of these components has a defect?c. What is the probability that at least two of these components have a defect?You work at a mechanic shop. 40% of cars that come in have a flat tire. If there are 50 cars in the shop, what is the probability that more than 30 have a flat tire? Round to three decimal points.Two cards are drawn from a standard deck without replacement. What is the probability that the first card is a diamond and the second card is red? (Round your answer to three decimal places.)
- Suppose that an individual is just willing to accept a gamble to win or lose $1000 if the probability ofwinning is 0.6. Suppose that the utility gained if the individual wins is 100 utils. What is expected gains/loss.David Barnes and his fiancée Valerie Shah are visiting Hawaii. At the Hawaiian Cultural Center in Honolulu, they are told that 2 out of a group of 8 people will be randomly picked for a free lesson of a Tahitian dance a. What is the probability that both David and Valerie get picked for the Tahitian dance lesson? (round 4 decimal places) b. What is the probability that Valerie gets picked before David for the Tahitian dance lesson? (round 4 decimal places)Early in August an undergraduate college discovers that it can accommodate a few extra students. Enrolling those additional students would provide a substantial increase in revenue without increasing the operating costs of the college; that is, no new classes would have to be added. From past experience the college knows that the frequency of enrollment given admission for all students is 40%.a. What is the probability that at most 6 students will enroll if the college offers admission to 10 more students?b. What is the probability that more than 12 will actually enroll if admission is offered to 20 students?c. If the frequency of enrollment given admission for all students was 70%, what is the probability that at least 12 out of 15 students will actually enroll?
- 1 A car dealer has established that 40% of his potential customers prefer single cab cars while 60% prefer double cab cars. From a recent survey among his existing clients, he obtained additional information which indicates that 15% of clients who bought single cab cars prefer air conditioning while 65% of clients who bought double cars prefer air conditioning.Required:a) What is the probability that a client who bought a single cab does not prefer air conditioning? (5)b) What is the probability that a client prefers a double cab with air conditioning?Industry standards suggest that 12 percent of new vehicles require warranty service within the first year. University Toyota in Morgantown, WV sold 10 Toyotas yesterday. What is the probability that exactly one of these vehicles will require warranty service?Bob earn 60,000 a year and an accounting firm each year he receives Reyes Bob has determined that the probability that he receives a 10% raise is .7 the probability that he earns a 3% raise is .2 and the probability that he earns a 2% raise is .1 a competing company has offered Bob a similar position for 65,000 a year Bob wonders if he should take the new job or take his chances with his current job. a. Find the mathematical expectation of the dollar amount of his raise at his current job b.
- According to a recent Wall Street Journal article, about 2% of new US car sales are electric vehicles (data from Edison Electric Institute reported by Jinjoo Lee, "Peak Oil? Not This Year. Or This Decade," January 9, 2021 pg. B12). Suppose a company has 111 employees who drive new cars (separately) to work each day. What is the probability that at least one of them will drive an electric car? Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.Probability is the likelihood or chance of an event occurring. Discuss its significance in real life. Develop a hypothesis about any real life occurring phenomena and calculate probability by using hypothetical values.A restaurant manager classifies customers as regular, occasional, or new, and finds that of all customers 50%, 40%, and 10%, respectively, fall into these categories. The manager found that wine was ordered by 70% of the regular customers, by 50% of the occasional customers, and by 30% of the new customers.a. What is the probability that a randomly chosen customer orders wine?b. If wine is ordered, what is the probability that the person ordering is a regular customer?c. If wine is ordered, what is the probability that the person ordering is an occasional customer?