9. Suppose that a grocery store purchases 5 cartons of skim milk at the wholesale price of $1.20 percarton and retails the milk at $1.65 per carton. After the expiration date, the unsold milk is removed fromthe shelf and the grocer receives a credit from the distributor equal to three-fourths of the wholesale price.If the probability distribution of the random variable X, the number of cartons that are sold from this lot,isfind the expected profit.Xf(x)01151215226153351544 1553515

For the distribution of the number of cartons that are sold from this lot is given as…

Answered: 9. Suppose that a grocery store…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A company produces 10,000 plastic papers per day. This company supplies papers to a shops which sells them in packs of 10 papers per pack. If less than two of a randomly selected pack (of 10 papers) from the order are defective, the shop accepts the whole order. The proportion of defective papers produced by the manufacturing company is 10%. Let ? be the random variable representing the number of defective papers in a pack. What is the probability that a randomly selected pack (of 10 papers) has more than two defective papers?
In a factory, three machines A, B and C are operated to make certain parts of a device. The percentages of the parts manufactured by the machines A, B and C are 35%, 50% and 15% respectively. It is known that 8%, 5% and 16% of the parts produced by the machines A, B and C respectively are defective. If a part is randomly picked, calculate the probability that the part is from the machine A given that it is defective.
ssume that 33.2% of people have sleepwalked. Assume that in a random sample of 1454 adults, 523 have sleepwalked. a. Assuming that the rate of 33.2% is correct, find the probability that 523 or more of the 1454 adults have sleepwalked. b. Is that result of 523 or more significantly high?
Two competing airlines, Alpha and Beta, fly a route between Des Moines, lowa, and Wichita, Kansas. Each airline claims to have a lower percentage of flights that arrive late. Let p, be the proportion of Alpha's flights that arrive late and p2 the proportion of Beta's flights that arrive late. Suppose that p, = 0.32 and p2 = 0.25. Find the probability that a sample of 100 flights for each airline (200 in all) would yield P, 2 Pz- Round your answer to four decimal places. P (Pi 2 P2) = i
Suppose that six cups of yogurt are selected at random. What is the probability that at least three cups have at least 11.5 g of protein? Give your answer to at least three decimal places. The variable Y represents the number of cups out of the six randomly‑selected cups that contain at least 11.5 g of protein? The probabilty of at least 11.5 g of protein in a cup is 0.70.
The ping pong ball manufacturing process produces defective ping pong balls at a rate of 1%. A company sells them in a pack of 12. When the quality assurance department inspects a package of ping pong balls, they choose 4 at random. If any of the chosen ping pong balls are defective, the entire package is labeled "defective." What is the probability that a entire pack of 12 ping pong balls is labeled "defective"?
When the health department tested private wells in a county for two impurities commonly found in drinking water, it found that 10% of the wells had neither impurity, 90% had impurity A, and 20% had impurity B. (Obviously, some had both impurities.) If a well is randomly chosen from those in the county, find the probability distribution for Y, the number of impurities found in the well. P(no impurities)= P(exactly one impurity)= P(both impurities)=
For 10 percent of the products in a category, a firm fails to satisfy all demand during themonth. What is its in-stock probability?
The probability that a machine develops a fault within the first 3 years of use is 0.003. If 40 machines are selected at random, the probability that 38 or more will not develop any faults within the first 3 years of use is ....
A small business is studying the number of customers that enter the store. They record the number of customers entering every hour for three days, and find that 27% of the time two customers enter the store in an hour, 28% of the time of the time one customer enters the store in an hour, and the remainder of the time no one enters the store in an hour. What is the expected number of customers per hour?
Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting out of their cars. On weekday mornings, arrivals to the drive-up teller window occur at random, with an arrival rate of 30 customers per hour or 0.5 customers per minute. Let's assume that the service times for the drive-up teller follow an exponential probability distribution with a service rate of 45 customers per hour, or 0.75 customers per minute. Determine the following operating characteristics for the system. (Round your answers to four decimal places.) (a) The probability that no customers are in the system 1353 (b) The average number of customers waiting 1786 (c) The average number of customers in the system 1.25 (d) The average time (in min) a customer spends waiting 4.2 X min (e) The average time (in min) a customer spends in the system x min 1 (f) The probability that arriving customers will have to wait for service 73 X
An insurance company found that 2.5% of male drivers between the ages of 18 and 25 are involved in serious accidents annually. To simplify the analysis, assume that every such accident costs the insurance company $64,000 and that a driver can only have one of these accidents in a year. Complete parts (a) through (c). (b) Suppose that the company writes 1,000 such policies to a collection of drivers. What is the probability that the company makes a profit on these policies? Assume that the drivers don't run into each other and behave independently. P(profit)= (Round to five decimal places as needed.)

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