# Question: A survey by the Arthur Andersen Enterprise Group National Small Business

A survey by the Arthur Andersen Enterprise Group/National Small Business United attempted to determine what the leading challenges are for the growth and survival of small businesses. Although the economy and finding qualified workers were the leading challenges, several others were listed in the results of the study, including regulations, listed by 30% of the companies, and the tax burden, listed by 35%.Suppose that 71% of the companies listing regulations as a challenge listed the tax burden as a challenge. Assume these percentages hold for all small businesses. If a small business is randomly selected, determine the following probabilities:

a. The small business lists both the tax burden and regulations as a challenge.

b. The small business lists either the tax burden or regulations as a challenge.

c. The small business lists either the tax burden or regulations but not both as a challenge.

d. The small business lists regulations as a challenge given that it lists the tax burden as a challenge.

e. The small business does not list regulations as a challenge given that it lists the tax burden as a challenge.

f. The small business does not list regulations as a challenge given that it does not list the tax burden as a challenge.

a. The small business lists both the tax burden and regulations as a challenge.

b. The small business lists either the tax burden or regulations as a challenge.

c. The small business lists either the tax burden or regulations but not both as a challenge.

d. The small business lists regulations as a challenge given that it lists the tax burden as a challenge.

e. The small business does not list regulations as a challenge given that it lists the tax burden as a challenge.

f. The small business does not list regulations as a challenge given that it does not list the tax burden as a challenge.

## Relevant Questions

According to U.S. Census Bureau figures, 35.3% of all Americans are in the 0–24 age bracket, 14.2% are in the 25–34 age bracket, 16.0% are in the 35–44 age bracket, and 34.5 are in the 45 and older age bracket. A study ...The following data are the result of a historical study of the number of flaws found in a porcelain cup produced by a manufacturing firm. Use these data and the associated probabilities to compute the expected number of ...Shown here is a graph of a binomial distribution for n = 12. Study the graph and from the graph, estimate what you think is the mean of this distribution. Approximately what do you think is the value of p andwhy?Find the following values by using the Poisson tables in Appendix A.a. P (x = 6 | λ = 3.8)b. P (x > 7 | λ = 2.9)c. P (3 ≤ x ≤ 9 | λ = 4.2)d. P (x = 0 | λ = 1.9)e. P (x ≤ 6 | λ = 2.9)f. P (5 < x ≤ 8 | λ = 5.7)Compute the following probabilities by using the hyper-geometric formula.a. The probability of x = 3 if N = 11, A = 8, and n = 4b. The probability of x < 2 if N = 15, A = 5, and n = 6c. The probability of x = 0 if N = 9, A = ...Post your question