An inspection plan calls for inspecting five chips and for either accepting each chip, rejecting each chip, or submitting it for re-inspection, with probabilities of p1=0.7, p2=0.2, p3=0.1, respectively. What is the probability that none of the chips must be re-inspected?
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An inspection plan calls for inspecting five chips and for either accepting each chip, rejecting each
chip, or submitting it for re-inspection, with probabilities of p1=0.7, p2=0.2, p3=0.1, respectively.
What is the
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- A biomedical research company produces 40% of its insulin at a plant in Kansas City, and the remainder is produced at a plant in Jefferson City. Quality control has shown that 0.75% of the insulin produced at the plant in Kansas City is defective, while 0.5% of the insulin produced at the plant in Jefferson City is defective. What is the probability that a randomly chosen unit of insulin came from the plant in Jefferson City given that it is defective?An airline is considering adding a route to the city of Buffalo, NY. Market research predicts that if the airline serves Buffalo, there is a 32% probability of making a $500,000 profit, a 22% chance of breaking even, and a 46% probability of losing $300,000. What is the expected value of adding a route to Buffalo?Richard has just been given a 10-question multiple-choice quiz in his psychology class. Each question has five answers, of which only one is correct. Since he has not attended class recently, he doesn’t know any of the answers. What makes up a trial? What is a success? What is a failure? What are the values of n, p, and q? Assuming Richard guesses on all 10 questions, find the indicated probabilities. What is the probability that he will answer all 10 correctly. What is the probability that he will answer all 10 incorrectly. What is the probability that he will answer at least one of the questions correctly. What is the probability that he will get at most 3 correct? What is the average number(expected value) of questions Richard will answer correctly What is the standard deviation?
- A kid has three remote controlled toy race cars and he plays with them 25%, 35% and 40% of the time respectively. The remote controls of the cars can sometimes malfunction, namely 5%, 7% and 9% of the time. If during a race the remote malfunctioned, what is the probability that he was playing with his first car? O A. 0.0125 OB. 0.1712 OC. 0.4932 OD. 0.3356When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan: Randomly select and test 43 batteries and determine whether each is within specifications. The entire shipment is accepted if at most 3 batteries do not meet specifications. A shipment contains 6000 batteries, and 2 % of them do not meet specifications. What is the probability that this whole shipment will be accepted? Will almost all such shipments be accepted, or will many be rejected? The probability that this whole shipment will be accepted is (Round to four decimal places as needed.) The company will accept ? % of the shipments and will reject ?% of the shipments, so almost all of the shipments will be accepted/many shipments will be rejected. (Round to two decimal places as needed.According to the recent report, scientists in New England say they have identified a set of genetic variants that predicts extreme longevity with 77% accuracy. Assume 150 patients decide to get their genome sequenced. If the claim by scientists is accurate, what is the probability that fewer than 70% of the patientswill get a correct diagnosis for extreme longevity? Group of answer choices A. 0.1422 B. 0.0722 C. 0.2214 D. 0.0208
- In an inspection of automobiles in a certain Country, 60% of all automobiles had emissions that did not meet EPA regulations. For a random sample of 10 automobiles, compute the following probabilities: a. All 10 automobiles failed the inspection. b. Exactly 6 of the 10 failed the inspection. c. Six or more failed the inspection. d. All 10 passed the inspection.When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan: Randomly select and test 47 batteries and determine whether each is within specifications. The entire shipment is accepted if at most 3 batteries do not meet specifications. A shipment contains 5000 batteries, and 3% of them do not meet specifications. What is the probability that this whole shipment will be accepted? Will almost all such shipments be accepted, or will many be rejected? The probability that this whole shipment will be accepted is (Round to four decimal places as needed.) The company will accept% of the shipments and will reject% of the shipments, so (Round to two decimal places as needed.)Bicycles for hire at the Durban Beach front are deemed beyond repair when one or both itswheels are damaged. According to current statistics, there is an 8% chance that the front wheelgets damaged and a 12% chance the back wheel gets damaged.What is the probability that a hired bike will be deemed beyond repair, provided that the wheelsget damaged independently of each other?
- A study published in 2012 concluded that 33 percent of the patients on Prednisone, a medication used for the treatment of various allergic disorders, suffered adverse effects. If 90 patients with allergic disorders are selected randomly and administered Prednisone, what is the approximate probability that at most 20 of them will suffer adverse effects? 0.022 0.330 0.670 0.015 0.042Use the given probability value to determine whether the sample results could easily occur by chance, then form a conclusion. A study of the effect of seatbelt use in head-on passenger car collisions found that drivers using a seatbelt had a 64.1% survival rate, while drivers not using a seatbelt had a 41.5% survival rate. If seatbelts have no effect on survival rate, there is less than a 0.0001 chance of getting these results. What do you conclude? The probability shows that the sample results ▼ could could not have easily occurred by chance. It appears that there ▼ is is not sufficient evidence to conclude that seatbelts do have an effect on survival rate.
