ESSEN OF BUSINESS ANALYTICS (LL) BOM
2nd Edition
ISBN: 9781337128629
Author: Camm
Publisher: CENGAGE L
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Chapter 5, Problem 9P
Cooper Realty is a small real estate company located in Albany, New York, that specializes primarily in residential listings. The company recently became interested in determining the likelihood of one of its listings being sold within a certain number of days. An analysis of company sales of 800 homes in previous years produced the following data.
- a. If A is defined as the
event that a home is listed for more than 90 days before being sold, estimate theprobability of A. - b. If B is defined as the event that the initial asking price is under $150,000, estimate the probability of B.
- c. What is the probability of
- d. Assuming that a contract was just signed to list a home with an initial asking price of less than $150,000, what is the probability that the home will take Cooper Realty more than 90 days to sell?
- e. Are events A and B independent?
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1- Let A = {A1, A2, ...), in which A, A, = 0, when i j.
a) Is A a π-system? If not, which element(s) should be added to A to become a π-system?
b) Prove that σ(A) consists of the finite or countable unions of elements of A; i.c., A E σ(A) if and
only if there exists finite or countable sequence {n} such that A = U₁An (Hint: Let F be such
class; prove that F is a σ-filed containing A.)
c) Let p ≥ 0 be a sequence of non-negative real numbers with Σip₁ = 1. Using p₁'s, how do you
construct a probability measure on σ(A)? (Hint: use extension theorem.)
2- Construct an example for which P(lim sup A,) = 1 and P(lim inf An) = 0.
In a town with 5000 adults, a sample of 50 is selected using SRSWOR and asked their opinion of a proposed municipal project; 30 are found to favor it and 20 oppose it. If, in fact, the adults of the town were equally divided on the proposal, what would be the probability of observing what has been observed? Approximate using the Binomial distribution. Compare this with the exact probability which is 0.0418.
Chapter 5 Solutions
ESSEN OF BUSINESS ANALYTICS (LL) BOM
Ch. 5 - On-time arrivals, lost baggage, and customer...Ch. 5 - Consider the random experiment of rolling a pair...Ch. 5 - Suppose that for a recent admissions class, an Ivy...Ch. 5 - Suppose that we have two events, A and B, with...Ch. 5 - Students taking the Graduate Management Admissions...Ch. 5 - More than 40 million Americans are estimated to...Ch. 5 - The Human Resources Manager for Optilytics LLC is...Ch. 5 - As was discussed in the Analytics in Action from...Ch. 5 - Cooper Realty is a small real estate company...Ch. 5 - Prob. 10P
Ch. 5 - A local bank reviewed its credit-card policy with...Ch. 5 - RunningWithTheDevil.com created a web site to...Ch. 5 - An oil company purchased an option on land in...Ch. 5 - Suppose the following data represent the number of...Ch. 5 - The percent frequency distributions of job...Ch. 5 - The following table provides a probability...Ch. 5 - The probability distribution for damage claims...Ch. 5 - The J.R. Ryland Computer Company is considering a...Ch. 5 - Prob. 19PCh. 5 - Many companies use a quality control technique...Ch. 5 - Consider a Poisson distribution with .
Write the...Ch. 5 - Emergency 911 calls to a small municipality in...Ch. 5 - A regional director responsible for business...Ch. 5 - The random variable x is known to be uniformly...Ch. 5 - Prob. 26PCh. 5 - Suppose we are interested in bidding on a piece of...Ch. 5 - Prob. 28PCh. 5 - The Siler Construction Company is about to bid on...Ch. 5 - Suppose that the return for a particular large-cap...Ch. 5 - A person must score in the upper 2% of the...Ch. 5 - Assume that the traffic to the web site of Smileys...Ch. 5 - Suppose that Motorola uses the normal distribution...Ch. 5 - Prob. 34PCh. 5 - Prob. 35PCh. 5 - Suppose that the time spent by players in a single...
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