The closing price of Martin's Sporting Goods Inc. common stock is uniformly distributed between $25 and $36 per share. What is the probability that the stock price will be more than $32?
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- An investor considers investing $17,000 in the stock market. He believes that the probability is 0.22 that the economy will improve, 0.42 that it will stay the same, and 0.36 that it will deteriorate. Further, if the economy improves, he expects his investment to grow to $23,000, but it can also go down to $11,000 if the economy deteriorates. If the economy stays the same, his investment will stay at $17,000. What is the expected value of his investment?Anticipated consumer demand in a restaurant for free-range steaks next month can be modeled by a normal random variable with mean 1,200 pounds and standard deviation 100 pounds. a. What is the probability that demand will be between 1,100 and 1,300 pounds? Calculate in 4 decimal place. b. The probability is 0.10 that demand will be more than how many pounds?Half of a set of the parts are manufactured by machine A and half by machine B. Five percent of all the parts are defective. Five percent of the parts manufactured on machine A are defective. Find the probability that a part was manufactured on machine A, given that the part is defective.
- 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."Jay, a writer of novels, just has completed a new thriller novel. A movie company and a TV network both want exclusive rights to market his new title. If he signs with the network, he will receive a single lump sum of $1,480,000, but if he signs with the movie company, the amount he will receive depends on how successful the movie is at the box office.The probability of a small box office earning $203,000 is 0.27. The probability of a medium box office of $1,660,000 is 0.49, and the probability of a large box office of $2,950,000 is 0.24.Jay can send his novel to a prominent movie critic to assess the potential box office success. It will cost $20,000 to get the novel evaluated by the movie critic.The movie critic can have either a favorable or unfavorable opinion. The movie critic's reliability of predicting box office success is as follows.If the movie will have a large box office, there is a 0.75 probability the critic will have a favorable opinion.If the movie will have a medium…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?
- "Jay, a writer of novels, just has completed a new thriller novel. A movie company and a TV network both want exclusive rights to market his new title. If he signs with the network, he will receive a single lump sum of $1,460,000, but if he signs with the movie company, the amount he will receive depends on how successful the movie is at the box office.The probability of a small box office earning $210,000 is 0.27. The probability of a medium box office of $1,530,000 is 0.64, and the probability of a large box office of $3,190,000 is 0.09.Jay can send his novel to a prominent movie critic to assess the potential box office success. It will cost $21,000 to get the novel evaluated by the movie critic.The movie critic can have either a favorable or unfavorable opinion. The movie critic's reliability of predicting box office success is as follows.If the movie will have a large box office, there is a 0.61 probability the critic will have a favorable opinion.If the movie will have a medium…A lottery has a grand prize of $1,000,000, 2 runner-up prizes of $100,000 each, 6 third-place prizes of $10,000 each, and 19 consolation prizes of $1,000 each. If a 4 million tickets are sold for $1 each, and the probability of any ticket winning is the same as that of any other winning, find the expected return on a $1 ticket. (Round your answer to 2 decimal places.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?
- Please do not give solution in image format thanku Two Manufacturers supply food to a large cafeteria. Manufacturer A supplies 40% of the soup served in the cafeteria, while Manufacturer B supplies 60% of the soup that is served. 3% of the soup cans provided by Manufacturer A are found to be dented, while 1% of the cans provided by Manufacturer B are found to be dented. Given that a can of soup is dented, find the probability that it came from Manufacturer B.On average a supermarket sells 500 litres of milk a day with a standard deviation of 50 litres. If the supermarket has 600 litres in stock at the beginning of a day, what is the probability that it will run out of milk? What is the probability that demand is between 450 and 600 litres in a day? How many litres should the supermarket stock if it wants the probability of running out to be 0.05? 4. How many should it stock if it wants the probability of running out to be 0.01?2.4 The opening 2018 World Cup odds against being the winning team specified by espn.com were 9/2 for Germany, 5/1 for Brazil, 11/2 for France, 20/1 for England, and 7/1 for Spain. Find the corresponding prior probabilities of winning for these five teams.
