# Question

The State of Texas maintains records pertaining to the economic development of corporations in the state. From the Economic Development Corporation Report, published by the Texas Comptroller of Public Accounts, we obtained the following frequency distribution summarizing the sales tax receipts from the state's Type 4A development corporations during one fiscal year.

Receipts Frequency

$0–24,999 .......... 25

$25,000–49,999 ........ 23

$50,000–74,999 ........ 21

$75,000–99,999 ........ 11

$100,000–199,999 ....... 34

$200,000–499,999 ....... 44

$500,000–999,999 ....... 17

$1,000,000 & over ....... 32

Suppose that one of these Type 4A development corporations is selected at random. Let

A = event the receipts are less than $25,000,

B = event the receipts are between $25,000 and $49,999,

C = event the receipts are between $500,000 and $999,999,

D = event the receipts are at least $1,000,000, and

R = event the receipts are either less than $50,000 or at least $500,000.

a. Use the table and the f/N rule to find P(R).

b. Express event R in terms of events A, B, C, and D.

c. Determine P(A), P(B), P(C), and P(D).

d. Compute P(R) by using the special addition rule and your answers from parts (b) and (c). Compare your answer with that in part (a).

Receipts Frequency

$0–24,999 .......... 25

$25,000–49,999 ........ 23

$50,000–74,999 ........ 21

$75,000–99,999 ........ 11

$100,000–199,999 ....... 34

$200,000–499,999 ....... 44

$500,000–999,999 ....... 17

$1,000,000 & over ....... 32

Suppose that one of these Type 4A development corporations is selected at random. Let

A = event the receipts are less than $25,000,

B = event the receipts are between $25,000 and $49,999,

C = event the receipts are between $500,000 and $999,999,

D = event the receipts are at least $1,000,000, and

R = event the receipts are either less than $50,000 or at least $500,000.

a. Use the table and the f/N rule to find P(R).

b. Express event R in terms of events A, B, C, and D.

c. Determine P(A), P(B), P(C), and P(D).

d. Compute P(R) by using the special addition rule and your answers from parts (b) and (c). Compare your answer with that in part (a).

## Answer to relevant Questions

The National Institute on Drug Abuse issued the report Monitoring the Future, which addressed the issue of drinking, cigarette, and smokeless tobacco use for eighth, tenth, and twelfth graders. During one year, 12,900 ...Mary Sheridan, a reporter for The Washington Post, wrote about a study describing the characteristics of day laborers in the Washington, D.C., area (June 23, 2005, pp. A1, A12). The study, funded by the Ford and Rockefeller ...A certain city has three major newspapers, the Times, the Herald, and the Examiner. Circulation information indicates that 47.0% of households get the Times, 33.4% get the Herald, 34.6% get the Examiner, 11.9% get the Times ...When two balanced dice are rolled, 36 equally likely outcomes are possible, as depicted in Fig. 5.1 on page 187. Let Y denote the sum of the dice. a. What are the possible values of the random variable Y? b. Use ...Explain how the special formulas for the mean and standard deviation of a binomial random variable are derived.Post your question

0