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?
A quality-control inspector has ten assembly lines from which to choose products for testing. Each morning of a five-day week, she randomly selects one of the lines to work on for the day. Find the probability that a line is chosen more than once during the week.
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.
The research department of a commercial bank estimates that the 5% of its loans will go into default. If 15 customers who have loans with the bank are randomly selected, compute the probability that the last customer is the first to default on his or her loan.
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)=
ion 16.84. An urn contains 3 one-rupee coins, 5 fifty paise coins and 12 ten-paise coins. If a coin is drawn at random, find the expected value of the draw, assuming that all coins are equally likely.
The fraction of a large population that has a specific blood type T is .08 (8%). For blood donation purposes it is necessary to find 4 people with type T blood. If randomly selected individuals from the population are tested one after another, then (a) What is the probability y persons have to be tested to get 5 type T persons, and (b) What is the probability that over 80 people have to be tested?
A production of 20 fuses is received by the store. It is known that 4 of the fuses are defective. The quality control engineer randomly selected three of the fuses from the production run. Find the probability that two of the fuses selected are defective.

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