Example of discrete random variable, Applied Statistics

Example of discrete random variable:

1. What is a discrete random variable? Give three examples from the field of business.

2. Of 1000 items produced in a day at XYZ Manufacturers, 400 are produced on the first shift, 350 on the second and 250 on the third. Suppose that the proportions of defective items produced on the first, second and third shifts are 0 01, 0.02, and 0.04, respectively. An item is picked at random. What is the probability that it was produced on (a) the first shift (b) either the first or the second shift? (c) What is the probability that it is defective? (d) What is the probability that it is defective, given that it was produced on the third shift? (e)What is the probability that it is defective and also was produced on the first shift?

3. ABC company has 2000 accounts receivable. The mean and standard deviation are $300 and $50, respectively. Assume that the accounts are normally distributed.

(a) How many accounts exceed $400?

(b) What is the probability that an account selected at random will be between $200 and $350?

(c) Forty percent of the accounts exceed what dollar amount?  (Hint: Fifty percent of the accounts are for more than $300.)

(d)  Twenty percent of  the accounts are below what dollar amount?

(4)  A manufacturer claims that 6% of her product is defective. If the claim is true what is the probability that the number of defective products in a random sample of 20 will be (a) exactly 2  (b) 2 or more  (c) 0  (d) fewer than 5  (e) between 2 and 5 inclusive?

(5) A government agency is conduction a check on label specifications for a product. Suppose that in a particular crate are 6 out of 24 cans whose contents do not meet their label specifications. The agency chooses 6 cans from a crate. What is the probability that the agency will find no mislabeled cans?

(6)  A sample of 80 costumers at 'ABC' Department Store were interviewed regarding their buying habits. One question asked was, " How many times did you shop at this store during the preceding month?" The responses are shown in the table that follows. (a) Find the probability that randomly selected customer shopped (1) more than once (2) zero times (3) more than four times (4) fewer than three times (b) Find the mean and variance.

Xj (no. of times shopped)









no. of customers









Posted Date: 2/12/2013 6:11:30 AM | Location : United States

Related Discussions:- Example of discrete random variable, Assignment Help, Ask Question on Example of discrete random variable, Get Answer, Expert's Help, Example of discrete random variable Discussions

Write discussion on Example of discrete random variable
Your posts are moderated
Related Questions
Hi There, I have a question regarding R, and I am wondering if anyone can help me. Here is a code that I would like to understand: squareFunc g f(x)^2 } return(g) } sin

prove that coefficient of correlation lies between -1 and+1

Problem : A company supplying electrical products, places a rush order for electric wires. Consignments of wires are to be sent immediately when they are available. Previous

Framing of Questionnaire: Questionnaire is a schedule of questions which is sent to the respondents for filling in by them in their own handwriting together the information rel

For each of the following situations choose the statistical model that you find to be the most appropriate. Justify your choice. a) We are interested in assessing the effects of

OmegaPlus Pty.Ltd. is a chain of Health Food stores operating in Australia: with 12 stores across Sydney, Melbourne and Brisbane. OmegaPlus has recently appointed a new CEO: San

Simple Linear Regression   While correlation analysis determines the degree to which the variables are related, regression analysis develops the relationship between the var

The displacement of a simply supported beam subject to a uniform load is given by the solution of the following differential equation (for small displacements); and q is th

use of quantitative techniques in public sector

what is the the Latin Square design? What is its application in research? please explain this term with very simple but with detailed explanation for effective understanding. I hav