BINOMIAL AND POISSON EXERCISES POISSON DISTRIBUTION A bank receives on average 6 counterfeit checks per day,...

Transcribed Image Text:

BINOMIAL AND POISSON EXERCISES POISSON DISTRIBUTION A bank receives on average 6 counterfeit checks per day, calculate the probability that five counterfeit checks are received per day Suppose that the average number of imperfections in a thin copper wire is 2.3 imperfections per millimeter. Determine the probability of 2 imperfections in one millimeter Messages arriving at a computer used as a server do so according to a Poisson distribution with an average rate of 0.1 messages per minute. Determines the probability that at most 2 messages arrive in one minute. The number of punctures in the tires of a certain commercial vehicle has an average of 0.3 per 50,000 kilometers. If the vehicle travels 100,000 kilometers, calculate the probability that it has fewer than 3 punctures. DISTRBUCION BINOMIAL Exercise 1-30% of a certain town watches a contest on television. From the contest, 10 people from the town chosen at random are called by phone. Calculate the probability that, among the 10 people, the following were watching the program: a) More than eight people b) Some of the ten people c) Less than 5 people Exercise 2.- The head of human resources of a company performs a ten-item test on applicants for a position, with each item having four possible answers, of which only one is correct. Assuming the applicants having the same. probability of responding. It is asked to find the probabilities for the candidate: a) Answer all the items wrong b) Answer at least four items well c) Answer between four and six items well d) Answer all the items well e) Answer less than three items good BINOMIAL AND POISSON EXERCISES POISSON DISTRIBUTION A bank receives on average 6 counterfeit checks per day, calculate the probability that five counterfeit checks are received per day Suppose that the average number of imperfections in a thin copper wire is 2.3 imperfections per millimeter. Determine the probability of 2 imperfections in one millimeter Messages arriving at a computer used as a server do so according to a Poisson distribution with an average rate of 0.1 messages per minute. Determines the probability that at most 2 messages arrive in one minute. The number of punctures in the tires of a certain commercial vehicle has an average of 0.3 per 50,000 kilometers. If the vehicle travels 100,000 kilometers, calculate the probability that it has fewer than 3 punctures. DISTRBUCION BINOMIAL Exercise 1-30% of a certain town watches a contest on television. From the contest, 10 people from the town chosen at random are called by phone. Calculate the probability that, among the 10 people, the following were watching the program: a) More than eight people b) Some of the ten people c) Less than 5 people Exercise 2.- The head of human resources of a company performs a ten-item test on applicants for a position, with each item having four possible answers, of which only one is correct. Assuming the applicants having the same. probability of responding. It is asked to find the probabilities for the candidate: a) Answer all the items wrong b) Answer at least four items well c) Answer between four and six items well d) Answer all the items well e) Answer less than three items good