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Problem 10

The owner of a newsstand in a college community estimates the weekly demand for a certain magazine as follows: $$ \begin{array}{lcccccc} \hline \text { Quantity } & & & & & & \\ \text { Demanded } & 10 & 11 & 12 & 13 & 14 & 15 \\ \hline \text { Probability } & .05 & .15 & .25 & .30 & .20 & .05 \\ \hline \end{array} $$ Find the number of issues of the magazine that the newsstand owner can expect to sell per week.

Expert verified

The expected weekly demand for the magazine is approximately 10.6 issues, which means the newsstand owner can plan to sell about 11 issues of the magazine per week.

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Chapter 8

The number of Americans without health insurance, in millions, from 1995 through 2002 is summarized in the following table: $$ \begin{array}{lllllllll} \hline \text { Year } & 1995 & 1996 & 1997 & 1998 & 1999 & 2000 & 2001 & 2002 \\\ \hline \text { Number } & 40.7 & 41.8 & 43.5 & 44.5 & 40.2 & 39.9 & 41.2 & 43.6 \\ \hline \end{array} $$ Find the average number of Americans without health insurance in the period from 1995 through 2002 . What is the standard deviation for these data?

Chapter 8

The speeds (in mph) of motor vehicles on a certain stretch of Route $3 \mathrm{~A}$ as clocked at a certain place along the highway are normally distributed with a mean of \(64.2 \mathrm{mph}\) and a standard deviation of \(8.44 \mathrm{mph}\). What is the probability that a motor vehicle selected at random is traveling at a. More than \(65 \mathrm{mph}\) ? b. Less than \(60 \mathrm{mph}\) ? c. Between 65 and \(70 \mathrm{mph}\) ?

Chapter 8

CusTomER Services Mayco, a mail-order department store, has six telephone lines available for customers who wish to place their orders. If the probability is \(\frac{1}{4}\) that any one of the six telephone lines is engaged during business hours, find the probability that all six lines will be in use when a customer calls to place an order.

Chapter 8

QuALITY CoNTROL The manager of Toy World has decided to accept a shipment of electronic games if none of a random sample of 20 is found to be defective. What is the probability that he will accept the shipment a. If \(10 \%\) of the electronic games is defective? b. If \(5 \%\) of the electronic games is defective?

Chapter 8

On average, a student takes 100 words/minute midway through an advanced court reporting course at the American Institute of Court Reporting. Assuming that the dictation speeds of the students are normally distributed and that the standard deviation is 20 words/minute, what is the probability that a student randomly selected from the course can take dictation at a speed a. Of more than 120 words/minute? b. Between 80 and 120 words/minute? c. Of less than 80 words/minute?

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