An item is produced in large numbers. The machine is known to produce 5% defectives. A quality control inspector is examining the items by taking them at random. What is the probability that at least 4 items are to be examined in order to get 2 defectives?

An item is produced in large numbers. The machine is known to produce 5% defectives. A quality control inspector is examining the items by taking them at random. What is the probability that at least 4 items are to be examined in order to get 2 defectives?

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

See similar textbooks

Similar questions

1. A sales man, figure that a contract results in a sale with 2. During a given day, he contacted two prospective clients. Calculate the probability distribution for X, the number of clients who signed the sales contract, so that the variance and standard deviation is found.
The owner of a firm must hire a manager to launch a new product. The new product can be successful and generate a revenue of 5000 or fail and generate a revenue of 1000. The probability of succ success is 0.7 (and hence the probability of failure is 0.3). If the manager exerts low effort (e=e,) then the probability of success is 0.2 (and hence the probability of failure is 0.8). The manager's utility effort chosen by the manager, with D(e) = 10 and D(e)-o. The manager's reservation utility is -40 The wage paid by the owner to the manager is the owner's only cost. The owner is risk neutral. If the owner could observe the manager's effort and would want the manager to exert high effort, what contract would he offer to the manager? What is the own Assume from now on that the manager's effort is unobservable. Suppose that the owner still wants to ensure that the manager accepts the proposed contract an this to happen. c) a)? a) b) It can be shown that the constraints in point b) must be…
A class consists of 17 women and 65 men. If a student is randomly selected, what is the probability that the student is a woman?
Assume that you are working for the Consumer Protection Agency and have recently been getting complaints about the highway gas mileage of the new Dodge Caravans. Chrysler Corporation agrees to allow you to randomly select 40 of its new Dodge Caravans to test the highway mileage. Chrysler claims that the Caravans get 28 mpg on the highway. Your results show a mean of 26.7 and a standard deviation of 4.2. You support Chrysler’s claim. 1. Show whether or not you support Chrysler’s claim by listing the P-value from your output.After more complaints, you decide to test the variability of the miles per gallon on the highway. From further questioning of Chrysler’s quality control engineers, you find they areclaiming a standard deviation of no more than 2.1. Use a one-tailed test.2. Test the claim about the standard deviation.3. Write a short summary of your results and any necessary action that Chrysler must take toremedy customer complaints.4. State your position about the necessity to…
1. Suppose the prices of used cars in the market are normally distributed with a mean of $15,000 and a standard deviation of $7,5000. What is the probability of selecting a car from this market and its priced above $20,000.
At races, your horse, White Rum, has a probability of 1/20 of coming 1st, 1/10 of coming 2nd and a probability of 1⁄4 in coming 3rd. First place pays $5,000 to the winner, second place $4,000 and third place $1,350.Hence, is it worth entering the race if it costs $1050? Your company plans to invest in a particular project. There is a 40% chance you will lose $3,000, a 45% chance you will break even, and a 15% chance you will make $5,500. Based solely on this information, what should you do? On 1st Jan 2006, a business had inventory of $19,000. During the month, sales totalled $32,500 and purchases $24,000. On 31st Jan 2006 a fire destroyed some of the inventory. The undamaged goods in inventory were valued at $11,000. The business operates with a standard gross profit margin of 30%. Based on this information, what is the cost of the inventory destroyed in the fire?
If the farmer uses pesticides he expects a crop of 60,000 bushels; if he does not use pesticides he expects a crop of 50,000 bushels. The cost of pesticides is $30,000 and the other costs associated with planting and harvesting the crop total $450,000. The price of corn at harvest time will either be $9.00 with probability of 0.50 or it will be $11.00 with probability 0.50, so if the farmer decides to sell the crop at harvest, the expected price per bushel that he will receive is $10.00. If the farmer decides to sell the crop at harvest, then: a. He should not use pesticides because not using pesticides ensures greater expected profit. b. He should not use pesticides because not using pesticides ensures lower expected profit. c. He should use pesticides because using pesticides ensures greater expected profit. d. He should use pesticides because using pesticides ensures lower expected profit.
6 Company “X Star" supplies electronic devices. Probability of purchasing a defective device is 0.3. Mr. Chang has purchased two devices. (a) What is the probability that at least one device purchased by Mr. Chang is good? (b) What is the probability that at least one device purchased by Mr. Chang is defective?
Halsen, a marketing manager at Business X, has determined four possible strategies (X1, X2, X3, and X4) for promoting the Product X in London. She also knows that major competitor Product Y has 4 competitive actions (Y1, Y2, Y3 and Y4) it’s using to promote its product in London, too. Ms. Halsen has no previous knowledge that would allow her to determine probabilities of success of any of the four strategies. She formulates the matrix below to show the various Business X strategies and the resulting profit, depending on the competitive action used by Business Y. Determine which strategy Ms. Halsen should select using, the following decision criteria. Please explain your answer for each strategy. a)Maximax; b)Maximin; c)Minimax regret Business X Strategy Business Y Strategy Y1 Y2 Y3 Y4 X1 25 57 21 26 X2 17 29 20 34 X3 47 31 32 37 X4 35 27 30 35
On Monday's there are eight classes taught in the business building. The probability that any of those classes starts late is 0.3. What is the probability that at least one these classes will start late on Monday?
If the farmer uses pesticides he expects a crop of 60,000 bushels; if he does not use pesticides he expects a crop of 55,000 bushels. The cost of pesticides is $20,000 and the other costs associated with planting and harvesting the crop total $450,000. The price of corn at harvest time will either be $10.00 with probability of 0.50 or it will be $12.00 with probability 0.50, so if the farmer decides to sell the crop at harvest, the expected price per bushel that he will receive is $11.00. If the farmer does not use pesticides and decides to sell the crop at harvest, what is his expected revenue? a. $550,000.00 b. $660,000.00 c. $600,000.00 d. $605,000.00
A risk-neutral worker can choose Low or High effort. The manager cannot observe the worker's action, but the manager can observe the realized revenue for the firm (either $300 or $500). Low Effort Cost for worker= $0 Probability Low Revenue ($300)=80% Probability High Revenue ($500)=20% High Effort Cost for worker= $40 Probability Low Revenue ($300)=40% Probability High Revenue ($500)=60% Instead of offering a flat wage, the manager is trying a new payment scheme. The manager is currently offering to the worker a payment equal to 40% of the revenue of the firm. Given this payment, the firm's expected profit will be