# Finite math 8.1 | Mathematics homework help

a.b.c.d.e.

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### Give the range of values that the random variable X may assume and classify the random variable as finite discrete, infinite discrete, or continuous.

X = The number of times an accountant takes the CPA examination before passing
a.0 ≤ x < 24; continuous

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### Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false.

The area of a histogram associated with a probability distribution is a number between 0 and 1.

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### The accompanying data were obtained in a study conducted by the manager of one supermarket. In this study the number of customers waiting in line at the express checkout at the beginning of each 3-min interval between 9 A.M. and 12 noon on Saturday was observed.

Customers012345678910Frequency of Occurrence312812797533
Find the probability distribution of the random variable X, where X denotes the number of customers observed waiting in line. Draw the histogram representing the probability distribution.

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### After the private screening of a new television pilot, audience members were asked to rate the new show on a scale of 1 to 10 (10 being the highest rating). From a group of 140 people, the accompanying responses were obtained.Rating12345678910Frequency of Occurrence2431322182630175​​Let the random variable X denote the rating given to the show by a randomly chosen audience member. Find the probability distribution associated with these data. Round answer to the nearest thousandth.

x2345678P(X = x)​

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### The management of the Cambridge Company has projected the sales of its products (in millions of dollars) for the upcoming year, with the associated probabilities shown in the following table:

SalesProbability
What does the management expect the sales to be next year?
a.18.7

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### Based on past experience, the manager of the VideoRama Store has compiled the following table, which gives the probabilities that a customer who enters the VideoRama Store will buy 0, 1, 2, 3, or 4 videocassettes. How many videocassettes can a customer entering this store be expected to buy?

Video- cassettes01234Probability0.420.370.130.040.04

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x012345P(X = x)

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### During the first year at a university that uses a 4-point grading system, a freshman took ten 3-credit courses and received one A, three Bs, two Cs, and four Ds.

Compute this student’s grade point average.

Let the random variable X denote the number of points corresponding to a given letter grade. Find the probability distribution of the random variable X and compute E( X), the expected value of X.

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### A buyer for Discount Fashions, an outlet for women’s apparel, is considering buying a batch of clothing for \$61,000. She estimates that the company will be able to sell it for \$80,000, \$75,000, or \$70,000 with probabilities of 0.20, 0.40, and 0.40, respectively.

Based on these estimates, what will be the company’s expected gross profit?

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