Q6 The number of typing errors made by a secretary has a Poisson distribution

# Q6 the number of typing errors made by a secretary

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makes a one-minute phone call, what is the probability that at least 1 car arrives during the call? Q6. The number of typing errors made by a secretary has a Poisson distribution with an average of four errors per page. If more than four errors appear on a given page, the typist must retype the whole page. What is the probability that a randomly selected page does not need to be retyped? Q7. In a wood processing plant, there are, on the average, two machine breakdowns per week. Assume the weekly machine breakdowns follow a Poisson distribution. a) What is the probability that there are no machine breakdowns in a given week? b) Calculate the probability that there are no more than two machine breakdowns in a given week. Q8. A sales firm receives, on average, 3 calls per hour on its toll-free number. For any given hour, find the probability that it will receive the following: a) At most 3 calls; at least 3 calls; 5 or more calls b) Which of the three events is most likely and least likely to occur? Q9 . It is known that 0.5% of components produced by a factory are defective. Each day a random sample of 200 components is inspected. a) Find the probability that there are no defectives in the daily sample. b) Find the probability that there is at least one defective on any day. Q10. A warden at one of the national parks is trying to persuade local people to join a local committee for controlling poaching of animals in the park. He knows that the probability of being successful in persuading a person at random to join is 0.02. a) One day he tries 100 people. What is the probability of recruiting at least one person? b) On another day he tries 200 people. What is the probability of recruiting at least one person? Q11. A certain drug causes kidney damage in 1% of patients. Suppose the drug is to be tested on 50 patients. Find the probability that: a) none of the patients will experience kidney damage. b) At least 1 patient will experience kidney damage. c) At most 3 patients will experience kidney damage.