A store owner stocks an out-of-town newspaper that is sometimes requested by a small number of customers. Each copy of this newspaper costs her 70 cents, and she sells them for 90 cents each. Any copies left over at the end of the day have no value and are destroyed. Any requests for copies that cannot be met because stocks have been exhausted are considered by the store owner as a loss of 5 cents in
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- Applied Machines produces large test equipment for integrated circuits. The machines are made to order, so the production rate varies from month to month. Before shipping, each machine is subject to extensive testing. Based on the tests the machine is either passed or sent back for rework. During the past 20 months the firm has had to rework the following numbers of machines: (given) Consider the example of Applied Machines presented above. Based on the estimate of the probability that a machine is sent back for rework computed from the 20 months of data, determine the following:a. If the company produces 35 machines in one particular month, how many, on average, require rework?b. Out of 100 machines produced, what is the probability that more than 20 percent of them require rework? (Use the normal approximation to the binomial for your calculations).arrow_forwardA 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?arrow_forwardA mutual fund company has 6 funds that invest in the U.S. market and 4 that invest in international markets. A customer wants to invest in two U.S. funds and 2 international funds.a. How many different sets of funds from this company could the investor choose?b. Unknown to this investor, one of the U.S. funds and one of the international funds will seriously underperform next year. If the investor selects funds for purchase at random, what is the probability that at least one of the chosen funds will seriously underperform next year?arrow_forward
- he local police department must write, on average, 5 tickets a day to keep department revenues at budgeted levels. Suppose the number of tickets written per day follows a Poisson distribution with a mean of 6.4 tickets per day. Find the probability that exactly 6 tickets are written on a randomly selected day from this populationarrow_forwardFor a group of 300 cars the numbers, classified by colour and country of manufacture, are shown in the Black Silver White Korea 33 34 35 Japan 23 9 24 America 16 25 34 Germany 19 16 32 One car is selected at random from this group. Find the probability that the selected car is a black or white car manufactured in Korea.arrow_forwardFor a group of 300 cars the numbers, classified by color and country of manufacture, are shown in the Black Silver White Total Korea 33 34 35 102 Japan 23 9 24 56 America 16 25 34 75 Germany 19 16 32 67 Total 91 84 125 300 One car is selected at random from this group. Find the probability that the selected car is A black or white car manufactured in Korea.arrow_forward
- 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?arrow_forwardA software developer makes 175 phone calls to its current customers. There is an 8 percent chance of reaching a given customer (instead of a busy signal, no answer, or answering machine). The normal approximation of the probability of reaching at least 20 customers is Multiple Choice .022 .007 .063 .937arrow_forwardA company that manufactures and sells T-shirts for sporting events, is providing shirts for an upcoming tournament. Each shirt will cost $7 to produce and will be sold for $13. Any unsold shirts at the end of the tournament can be sold for $5 apiece in the near future. The company assumes the demand for the shirts will be 1,500,3,000,4,500, or 6,000. The company also estimates that the probabilities of each of these sales levels occurring will be 20%, 25%,25%, and 30%, respectively. Determine the expected monetary value of the project if the company chooses to print 4,500 shirts for the tournament. The expected monetary value is---- (Type a whole number.)arrow_forward
- According to AAA, the price of a gallon of regular, unleaded gas across gas stations in North Carolina is normally distributed with a mean of $2.39 and a standard deviation of $0.15. Find the price such that the probability that a randomly chosen gas station charges more than that price is 5%. Group of answer choices $2.14 $2.39 $2.52 $2.64 thanksarrow_forwardThe proportion of vehicles which drive above the speed limit on a freeway is 85%. Suppose 100 vehicles are randomly clocked. 20 If each speeding vehicle is issued a $185 speeding ticket, the expected value of the ticket amount is $________. a $15,725 b $14,560 c $13,480 d $12,485arrow_forwardA class consists of 17 women and 65 men. If a student is randomly selected, what is the probability that the student is a woman?arrow_forward
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