Suppose that the number of bad cheques received by a bank in one
day is a Poisson
random variable with mean lamda = 3. Determine the probability that
the bank will receive
4 bad cheques in 2 days.
A. 0.134 B. 0.058 C. 0.316 D. 0.205 E. none of the above
Suppose that the number of bad cheques received by a bank in one day is a...
Consider the discrete random variables X and Y with the following joint probability mass function: 2 y fxy(x,y) -1 0 1/8 0 -1 1/4 0 1/4 0 1/8 -1 1/8 1 -1 1/8 What is P(X = 1 Y = 0)? Are X and Y independent? 1 1 1 A. 0; independent B. 1/2; independent C. 1/2; dependent D. 1/8; dependent E. none of the preceding 3. Multiple Choice Question Suppose that the number of bad cheques received by a...
3. Suppose we are interested to study the number of customers arriving at a bank in a random work day. Previously we learned that the average number of customers per day is 100. (a) Define a random variable X for the number of customers arriving in a random work day. (b) Find the probability mass function. (c) Computer the probability that there will be at least 75 customers arriving at a random work day. (d)Derive the expected value (mean) of...
Suppose that the number of customers that enter a bank in an hour is a Poisson random variable, and suppose that P(X Determine the mean, E(X), and variance, V(X). Round your answers to two decimal places (e.g. 98.76) 0) = 0.05 E(X)
Suppose that the number of customers that enter a bank in an hour is a Poisson random variable, and suppose that P(X = 0) = 0.07. Determine the mean, E(X), and variance, V(X). Round your answers to two decimal places (e.g. 98.76).
5. Suppose that the number of accidents on a certain motorway each day is a Poisson random variable with parameter (mean rate) A-3. (i) Find the probability that there are more than three accidents today. (ii) Repeat (i), given that at least one accident occurs today
The number of loan applications that a bank gets per day is a Poisson-distributed random variable with λ = 7.5. What are the probabilities that on any given day the bank will receive a. exactly six applications; b. at most four applications; c. at least eight applications; and, d. anywhere from five to ten applications?
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 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...
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...
Suppose the number of items you can deliver in a day is a random variable with some unknown distribution with a mean = 35 and a standard deviation of 8. 4.75% of all sample means of 36 days will be less than ?. Group of answer choices 32.7733 37.2267 35.6033 34.3967 36.27 none of these 33.73