2.A department store receives an average of 5 returned items per day. The probability that a returned itemhas an available replacement is 0.65. [Hint: there are two separate distributions here.]d.e.f.Calculate the probability that there are 4 returned items and none has availablereplacements in a certain day.Calculate the variance and the mean of the returned items.Calculate the variance and the mean of the replaced items.2

A discrete random variable X is said to follow Poisson distribution with parameter , if its…

Answered: 2. A department store receives an…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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B12. (Excel: Calculating means, standard deviations, covariance, and correlation) Given the probability distributions of returns for stock X and stock Y, compute: a. the expected return for each stock, and b. the variance of the return for each stock c. the covariance between the returns for stock X and stock Y d. the correlation coefficient between the returns for stock X and stock Y. Probability Stock X Stock Y 0.1 -10% 4% 0.3 0 8 0.3 6 0 0.2 10 -5 0.1 20 15
A market research company is interested in the home owership rates across Melbourne suburbs. They survey 253 households in the suburb of Carlton where the true probability of being a home owner for a given household is 0.782. Assume that the home ownership status of each households is independent of others. 1. What is the distribution of X? 2. What is the variance of X? 3. What is the probability that X is greater than 200 ? 4. What is the probability that X is less than or equal to 200?
. Variance: The number of cars that pass through a toll booth in an hour follows a probability distribution with the following values: NUMBER OF CARS (X) PROBABILITY P(X) 0 0.1 1 0.3 2 0.4 3 0.2 Calculate the variance of the number of cars passing through the toll booth in an hour.
1. Of all customers purchasing automatic garage-door openers, 57% purchase a chain-driven model. Let X = the number among the next 15 purchasers who select the chain-driven model. a. Calculate P(X > 10). b. Calculate P(8
The weights of steers in a herd are distributed normally. The variance is 10,000 and the mean steer weight is 1100⁢lbs. Find the probability that the weight of a randomly selected steer is between 919 and 1180⁢lbs. Round your answer to four decimal places.
Three people are invited to participate in a seminar. Assume all four people arrives independently, and the probability of any one of them is late is 0.2. Let X be the number of late participants of the seminar. Find the distribution (pmf) of X. Calculate the mean and the variance of X.
Five percent of U.S. employees who are late for work blame oversleeping. You randomly select four U.S. employees who are late for work and ask them whether they blame oversleeping. The random variable represents the number of U.S. employees who are late for work and blame oversleeping. Find the mean of the binomial distribution. μ= (Round to the nearest hundredth as needed.)
Find the variance of the probability distribution for the histogram shown.
The owner of a farmer's market was interested in determining how many oranges a person buys when they buy oranges. He asked the cashiers over a weekend to count how many oranges a person bought when they bought oranges and record this number analysis at a later time. The data is given below in the table. The random variable x represents the number of oranges purchased and P(x) represents the probability that a customer will buy x oranges. Determine the variance of the number of oranges purchased by a customer. Round to two decimal places. X P(x) 1 0.05 O A. 0.56 OB. 3.97 OC. 3.57 OD. 1.95 2 3 0.19 0.20 4 5 0.25 0.12 6 0.10 7 8 0 0.08 9 10- 0 0.01

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