10. Ten percent of computer parts produced by a certain supplier are defective. What is the probability that a sample of 10 parts contains more than 3 defective ones?
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- Industry standards suggest that 12 percent of new vehicles require warranty service within the first year. University Toyota in Morgantown, WV sold 10 Toyotas yesterday. Compute the mean of the probability distribution.14. The U.S. Postal Service reports that 95% of first-class mail within the same city is delivered within 2 days of the time of mailing. Six letters are randomly sent to different locations. a. What is the probability that all six will arrive within 2 days? b. What is the probability that exactly five arrive within 2 days? c. Find the mean number of letter that will arrive within 2 days. d. Compute the variance and standard deviation of the number that will arrive within 2 days.13. In a certain population, heights (in inches) are normally distributed with a = 67 and a = 3. Find the probability that a person selected at random has a height between 63 and 71 inches. Refer to Appendix A of the textboun. -
- 34. What should I buy? A study conducted by the Pew Research Center reported that 58% of cell phone owners used their phones inside a store for guidance on purchasing decisions. A sample of 15 cell phone owners is studied. b. What is the probability that fewer than 10 of them used their phones for guidance on purchasing decisions?4. Michael is running for president. The proportion of voters who favor Michael is 0.8. A simple random sample of 100 voters is taken. Assume that n/N < 0.05.4. Six employees of a marketing firm had effectiveness ratings as follows: 0.72, 0.46, 0.59, 0.64, 0.81 and 0.76. Find the probability of selecting an employee with the indicated effectiveness rating.a. Greater than 0.75. b.Less than 0.75 but greater than 0.5. c. Greater than the mean. d. Not less than 0.9.
- 11)A courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the true proportion is 0.03. If 315 are sampled, what is the probability that the sample proportion will be less than 0.05? Round your answer to four decimal places.Twelve doctors work at a clinic, of which 3 were trained at Harvard Medical School. Four doctors are randomly selected from the 12 clinic doctors to attend a special conference. A. What is the probability that at least one of the doctors going to the conference is a Harvard Medical graduate? B. Find the standard deviation for the number of doctors out of the 4 that were trained at Harvard Medical School.Airline passengers arrive randomly and independently at the passenger screening facility at a major international airport. The mean arrival rate is 5 passengers per minute. 1. What is the probability of 2 arrivals in a 1-minute period? 2. What is the probability of no arrivals in a 1-minute period? 3. What is the probability of one arrival in a 1-minute period? 4. What is the probability of at most one arrival in a 1-minute period?
- 3. A company produces boxes of candy that contain a mean of 50 candies each. The standard deviation is 2. Quality control will reject any box with fewer than 48 candies. a) What is the probability that a box selected at random contains exactly 51 pieces? b) What proportion of the boxes will quality control reject as containing too few candies? c) The company produces 135 000 boxes of candy a day. How many of these boxes will have at least 48 candies but no more than 53?1. In a factory that produces pieces of ready-made concrete, if the percentage of production of defective blocks is 0.6, if we draw a sample of 5 pieces: find the probability of getting 3 defective pieces. *12). What is a percentile? In probability notation, how would you find the 85th percentile?