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ability Distributions c. What is the probability of having one or fewer collisions in a six-month period? If this outcome occurred, what might you conclude about ship channel conditions during this period? What might you conclude about ship channel safety awareness during this period? What might you conclude about weather conditions during this period? What might you conclude about lambda? 5.23 A pen company averages 1.1 defective pens per carton produced (200 pens). The number of defects per carton is Poisson distributed. a. What is the probability of selecting a carton and finding no defective pens? b. What is the probability of finding seven or more defective pens in a carton? c. Suppose a purchaser of these pens will quit buying from the company if a carton contains more than three defective pens. What is the probability that a carton contains more than three defective pens? 5.24 A medical researcher estimates that .00004 of the population has a rare blood disorder. If the researcher randomly selects 100,000 people from the population, a. What is the probability that seven or more people will have the rare blood disorder? b. What is the probability that more than 10 people will have the rare blood disorder? c. Suppose the researcher gets more than 10 people who have the rare blood disorder in the sample of 100,000 but that the sample was taken from a particular geographic region. What might the researcher conclude from the results? 5.25 A data firm records a large amount of data. Historically, .9% of the pages of data recorded by the firm contain errors. If 150 pages of data are randomly selected, 21970ca. What is the probability that five or more pages contain errors? b. What is the probability that more than 10 pages contain errors? SHtrunc. What is the probability that none of the pages contain errors? d. What is the probability that fewer than six pages contain errors? 5.26 A high percentage of people who fracture or dislocate a bone see a doctor for that condition. Suppose the percentage is 99%. Consider a sample in which 300 people are randomly selected who have fractured or dislocated a bone. gora. What is the probability that exactly five of them did not see a doctor? b. What is the probability that fewer than four of them did not see a doctor? bizbric a c. What is the expected number of people who would not see a doctor? Showothers will