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- 1. From a bag containing 10 black and 20 white balls, a ball is drawn at random. What is the probability that it is black? Solution. Total number of balls in the bag = 10 + 20 = 30 Number of black balls = 10 Probability of getting a black ball or5. Big babies: The Centers for Disease Control and Prevention reports that 25% of baby boys 6-8 months old in the United States weigh more than 20 pounds. A sample of 150 babies is studied. a. Approximate the probability that more than 40 weigh more than 20 pounds. b. Approximate the probability that 35 or fewer weigh more than 20 pounds. c. Approximate the probability that the number who weigh more than 20 pounds is G 206. Clinical trials have shown that 90% of the patients with severe migraine experience relief of their pain after taking the drug Nimodipine. Suppose 15 migraine patients try Nimodipine. a. What is the probability all of the patients experience relief? b. What is the probability only 10 patients experience relief? What is the probability at least 12 patients experience relief? d. What is the probability at most 10 patients experience relief? e. How many are expected to experience relief?
- 4.The mortality rate for a certain disease is 25%. A random sample of twelve patients with this disease is selected. a.What is the probability that exactly half of the patients selected will die from the disease? b.What is the probability that at least two of the twelve patients will die from the disease?1. The probability that a manufactured bulb works properly is 98%. a. In a pack of six, what's the probability that all bulbs work? b. In a pack of six, what's the probability that 4 or less work? c. In a pack of 8, what's the probability that more than 5 work? d. In a pack of 10, what's the probability that exactly half work? In a pack of 4, what's the probability that all are broken?6.) The National Spinal Cord Injury Statistical Center reports that 45% of all spinal cord injuries are caused by vehicle crashes. Suppose that we choose 15 spinal cord injuries at random.a.) What is the probability that 8 of the chosen injuries are from vehicle crashes? (Usethe formula)b.) What is the probability that fewer than 5 of the chosen injuries are from vehiclecrashes? (Use the calculator)c.) What is the probability that more than 9 of the chosen injuries are from vehiclecrashes? (Use the calculator)d.) What is the probability that between 4 and 10 of the chosen injuries are from vehiclecrashes? (Use the calculator)e.) What is the expected number of such injuries to result from vehicle crashes?f.) What is the standard deviation of the number of injuries resulting from vehiclecrashes?
- 6. PLEASE HELP me answer this question well explained and calculated. 6.) The probability that a business person will cancel his reservation at the Place des Pins hotel is about 10%. Knowing that the hotel has 56 reservations. A.) determines the probability that at least 10 business people will cancel their reservation; B. determines the probability that exactly 2 business people will cancel their reservation. C.) determines the probability that 5 to 10 people in the business community will cancel their reservation.10. According to a Los Angeles Medical Malpractice Law Firm, there are on average 12,414 cases of medical malpractice reported to the NPDB annually. Of these, approximately 5,342 are due to negligence. a. Calculate the probability that an individual randomly selected medical malpractice report is due to negligence. b. Calculate the probability that an individual randomly selected medical malpractice report is not due to negligence. C. It 4 different malpractice suits were randomly selected, what is the probability that all four were not due to negligence.7. State College is playing a rival team for the football championship. If State's first- string quarterback is healthy, State College has a 75% chance of winning. If they have to start their backup quarterback, their chances of winning drop to 40%. The team physician says that there are a 70% chance that the first-string quarterback will play. a. What is the probability that State will win that game? b. Suppose that you miss the game but you read in the headlines of Sunday's paper that State won. What is the probability that the second-string quarterback started?
- 10. Final: A local grocery store receives strawberries from suppliers in city A and city B. Currently there are 18 strawberry containers or shelf and 11 of them are from city A. A shopper selects three containers to purchase. What is the probability that two containers are fro the city A supplier? O a. .2831 O b. Not available O c..1851 O d. .4718 O e. .5292 口iL American Airlines' flights from Chicago to Atlanta are on time 60 % of the time. Suppose 14 flights are randomly selected, and the number on-time flights is recorded. 1.The probability that at least 2 flights are on time is %3D 2.The probability that at most 2 flights are on time is 3.The probability that exactly 7 flights are on time is = > Next Question MacBook Pro %23 & 24 3.5. ) Suppose you select a number from 1-10 at random. Find the probability of each situation. a. P(even number) b. P(1 or 4) c. P(Less than 8) d. P(greater than 10)