Missy Walters Owns a Mail-Order Business Specializing in Clothing, Linens

question 43

Essay

Missy Walters owns a mail-order business specializing in clothing, linens, and furniture for children. She is considering offering her customers a discount on shipping charges for furniture based on the dollar-amount of the furniture order. Before Missy decides the discount policy, she needs a better understanding of the dollar-amount distribution of the furniture orders she receives.Missy had an assistant randomly select 50 recent orders that included furniture. The assistant recorded the value, to the nearest dollar, of the furniture portion of each order. The data collected is listed below.
a. Prepare a frequency distribution, relative frequency distribution, and percent frequency distribution for the data set using a class width of $50.
b. Construct a histogram showing the percent frequency distribution of the furniture-order values in the sample.
c. Develop a cumulative frequency distribution and a cumulative percent frequency distribution for this data.

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Definitions:

Poisson Distribution

A probability distribution that models the number of times an event occurs in a fixed interval of time or space when these events occur with a known constant mean rate and independently of the time since the last event.

Nuclear Power Plant

A facility that uses nuclear reactions to generate heat, which is then used to produce electricity.

Probability

A measure of the likelihood that an event will occur, often expressed as a number between 0 and 1.

Poisson Random Variable

A type of discrete random variable that expresses the probability of a given number of events occurring in a fixed interval of time or space.