Contemporary Mathematics for Business & Consumers - With LMS CengageNOW

8th Edition

ISBN: 9781337125468

Author: Brechner

Publisher: Cengage

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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experime…

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Textbook Question

Chapter 8.II, Problem 20RE

Solve the following word problems. Round dollars to the nearest cent and percents to the nearest tenth of a percent.

If the markup on a scanner is 180% based on cost, what is the corresponding percent markup based on selling price?

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Chapter 8.II, Problem 19RE

Chapter 8.II, Problem 21RE

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6.54 Let Y₁, Y2,..., Y, be independent Poisson random variables with means 1, 2,..., An respectively. Find the a probability function of Y. b conditional probability function of Y₁, given that Y = m. Y₁ = m. c conditional probability function of Y₁+Y2, given that 6.55 Customers arrive at a department store checkout counter according to a Poisson distribution with a mean of 7 per hour. In a given two-hour period, what is the probability that 20 or more customers will arrive at the counter? 6.56 The length of time necessary to tune up a car is exponentially distributed with a mean of .5 hour. If two cars are waiting for a tune-up and the service times are independent, what is the probability that the total time for the two tune-ups will exceed 1.5 hours? [Hint: Recall the result of Example 6.12.] 6.57 Let Y, Y2,..., Y,, be independent random variables such that each Y, has a gamma distribution with parameters a, and B. That is, the distributions of the Y's might have different a's, but…

Please ensure that all parts of the question are answered thoroughly and clearly. Include a diagram to help explain answers. Make sure the explanation is easy to follow. Would appreciate work done written on paper. Thank you.

6.82 6.83 6.84 6.85 *6.86 6.87 If Y is a continuous random variable and m is the median of the distribution, then m is such that P(Ym) = P(Y ≥ m) = 1/2. If Y₁, Y2,..., Y, are independent, exponentially dis- tributed random variables with mean ẞ and median m, Example 6.17 implies that Y(n) = max(Y₁, Y., Y) does not have an exponential distribution. Use the general form of FY() (y) to show that P(Y(n) > m) = 1 - (.5)". Refer to Exercise 6.82. If Y₁, Y2,..., Y,, is a random sample from any continuous distribution with mean m, what is P(Y(n) > m)? Refer to Exercise 6.26. The Weibull density function is given by -my" m-le-y/a f(y)= α 0. y > 0, elsewhere, where a and m are positive constants. If a random sample of size n is taken from a Weibull distributed population, find the distribution function and density function for Y(1) = min(Y1, Y2,Y). Does Y(1) = have a Weibull distribution? Let Y₁ and Y2 be independent and uniformly distributed over the interval (0, 1). Find P(2Y(1) 0, elsewhere,…

Chapter 8 Solutions

Contemporary Mathematics for Business & Consumers - With LMS CengageNOW

Ch. 8.I - For the following, use the basic retailing...Ch. 8.I - For the following, use the basic retailing...Ch. 8.I - Prob. 3TIE Ch. 8.I - Prob. 4TIE Ch. 8.I - Prob. 5TIE Ch. 8.I - Prob. 6TIE Ch. 8.I - Prob. 1RE Ch. 8.I - For the following items, calculate the missing...Ch. 8.I - Prob. 3RE Ch. 8.I - For the following items, calculate the missing...

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Solve the following word problems. Round dollars to the nearest cent and percents to the nearest tenth of a percent. If the markup on a scanner is 180% based on cost, what is the corresponding percent markup based on selling price?

Solution Summary: The author explains that the percent Markup based on Selling Price is 64.3%.

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