A particular employee arrives at work sometime between 8:00 a.m. and 8:50 a.m. Based on past experience the company has determined that the employee is equally likely to arrive at any time between 8:00 a.m. and 8:50 a.m. Find the probability that the employee will arrive between 8:25 a.m. and 8:35 a.m. Round your answer to four decimal places, if necessary.
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- 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?Sharlene has just put a down payment on a lot in a small subdivision. There are 24 lots in the subdivision, and all are approximately 0.3 acres in size. Four builders have been contracted by the subdivision manager to each build six homes in order to finish the subdivision in 6 months. Sharlene's uncle is one of the builders contracted by the subdivision manager. What is the probability that Sharlene's uncle will be the builder that builds her house? Round your answer to two decimal places, if necessary.Find the probability of rolling a standard 6-sided die 23 times and getting 10 or more twos. Select an answer Enter a decimal rounded to four places as needed.
- 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.Suppose you like to keep a jar of change on your desk. Currently, the jar contains the following: 5 Pennies 27 Dimes 18 Nickels 8 QuartersThe owner of Tastee Cookies needs to decide whether to lease a small, medium, or large new retail outlet. She estimates that monthly profits will vary with demand for her cookies as follows: SIZE OFOUTLET DEMAND LOW HIGH Small $ 1,000 1,000 Medium 500 2,500 Large 0 3,000 For what range of probability that demand will be high, will she decide to lease the medium facility?
- a. A company produces lightbulbs whose life follows a normal distribution, with mean 1200 hours and standard deviation 250 hours. If we choose a lightbulb at random, what is the probability that its lifetime will be between 900 and 1300 hours? (answer in three decimal places)Eric has a job at an electronics store in a mall. Eric doesn't like to work hard, and it costs him $100 to do so. Eric's employer cannot observe whether Eric works hard or not. If Eric works hard, there is a 75% probability that electronics goods profits will equal $400 a day and a 25% probability that electronics goods profits will equal $100 a day. If Eric shirks, there is a 75% probability that electronics goods profits will equal S100 a day and a 25% probability that electronics goods profits will equal $400 a day. Suppose Eric is paid $200 if electronics goods profits are $400 a day and $50 if electronics goods profits are S100 a day. Eric will because the net gain of from shirking is than the net gain of from working hard. O shirk; $87.50; more; $62.50 O shirk; $125; more; $118 O work hard; S50; less; $62.50 O work hard; $100; less; $250A 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 manufacturer of cotter pins knows that 5% of his product is defective. If he sells cotter pins in boxes of 100 and guarantees that not more than 10 pins will be defective, what is the approximate probability that a box will fail to meet the guaranteed quality?A car salesperson estimates the following probabilities for the number of cars that she will sell in the next week: Number of cars 0 1 2 3 4 5 Probability 0.10 0.20 0.35 0.16 0.12 0.07 a. Find the expected number of cars that will be sold in the week.b. Find the standard deviation of the number of cars hat will be sold in the week. c. The salesperson receives a salary of $250 for the week, plus an additional $300 for each car sold. Find the mean and standard deviation of her total salary for the week. d. What is the probability that the salesperson’s salary for the week will be more than $1,000?A student takes an exam containing 15 true or false questions. If the student guesses, what is the probability that he will get exactly 13 questions right? Round your answer to four decimal places.