The number of parking tickets given at UVic in a day is a Poisson random variable with a mean of 64. What is the approximate probability that the average number of tickets given over a sample of 121 days is greater than 63?
The number of parking tickets given at UVic in a day is a Poisson random variable...
The number of parking tickets issued in a certain city on any given weekday has a Poisson distribution with parameter μ = 50. (Round your answers to four decimal places.) (a) Calculate the approximate probability that between 35 and 70 tickets are given out on a particular day. (b) Calculate the approximate probability that the total number of tickets given out during a 5-day week is between 225and 285. (c) Use software to obtain the exact probabilities in (a) and...
The number of parking tickets issued in a certain city on any given weekday has a Poisson distribution with parameter μ = 50. (Round your answers to four decimal places.) (a) Calculate the approximate probability that between 35 and 70 tickets are given out on a particular day. (b) Calculate the approximate probability that the total number of tickets given out during a 5-day week is between 215 and 285. (c) Use software to obtain the exact probabilities in (a)...
The number of fish that a fisherman catches in a day is a Poisson random variable with mean = 30. However, on average, the fisherman throws back two out of every three fish he catches. (a) What is the probability that, on a given day, the fisherman takes home n fish. (b) What is the mean and variance of the number of fish he catches (c) What is the mean and variance of the number of fish he takes home...
2.(2 points) The police department writes parking tickets (at random, regardless of guilt) to 20% of all cars parked on any faculty/staff parking lot on any given day. a) What is the average/mean number of tickets written on any given day in a parking lot with 13 cars. ANSWER: Average = _______________________________________ (simplified number) b) Find the probability that exactly 4 tickets will be written tomorrow on lot A and on lot B, each of which fits 13 cars. State...
The number of breakdowns Y per day for a certain machine is a Poisson random variable with mean A. The daily cost of repairing these breakdowns is given by C 3Y2. If Y, Y2, Y denote the observed number of breakdowns for n independently selected days, find an MVUE for E(C). The number of breakdowns Y per day for a certain machine is a Poisson random variable with mean A. The daily cost of repairing these breakdowns is given by...
the number of parking tickets issued in a certain city on any given weekday has a poisson distribution with parameter
Assume that the number of network errors experienced in a day on a local area network (LAN) is distributed as a Poisson random variable. The mean number of network errors experienced in a day is 2.5. Complete parts (a) through (d) below. a. What is the probability that in any given day zero network errors will occur?b. What is the probability that in any given day, exactly one network error will occur?c. What is the probability that in any given day, two or more...
4. Suppose the number of students who come to office hours on the ith day is modeled as a random variable X;. a) What is a reasonable probability model for the distribution of X,? b) Using the CLT, produce an approximate 80% confidence interval for the true population mean number of students who come to office hours each day given the following summary of a random sample of days: Σ-in-186. ays: Σ401Χί = 186. 4. Suppose the number of students...
PROBLEM 2 The number of accidents in a certain city is modeled by a Poisson random variable with average rate of 10 accidents per day. Suppose that the number of accidents in different days are independent. Use the central limit theorem to find the probability that there will be more than 3800 accidents in a certain year. Assume that there are 365 days in a year.
A Poisson variable is the number of occurrences of a discrete random variable every hour. Is the probability of no occurrences in any hour equal to the probability that time between two occurrences is greater than one hour? Why or why not?