To generate leads for new business, Gustin Investment Services offers free financial planning seminars at major hotels in Southwest Florida. Gustin conducts seminars for groups of 25 individuals. Each seminar costs Gustin $4000, and the average first-year commission for each new account opened is $6000. Gustin estimates that for each individual attending the seminar, there is a 0.01 probability that he/she will open a new account. Determine the equation for
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Problem 16-05
To generate leads for new business, Gustin Investment Services offers free financial planning seminars at major hotels in Southwest Florida. Gustin conducts seminars for groups of 25 individuals. Each seminar costs Gustin $4000, and the average first-year commission for each new account opened is $6000. Gustin estimates that for each individual attending the seminar, there is a 0.01 probability that he/she will open a new account.
- Determine the equation for computing Gustin’s profit per seminar, given values of the relevant parameters. Round your answers to the nearest dollar.
Profit = (New Accounts Opened × $ __________) – $ _____________ - What type of random variable is the number of new accounts opened? (Hint: Review Appendix 16.1 for descriptions of various types of probability distributions.)
The number of new accounts opened is a ____________ random variable with _______________ trials and ______________probability of a success on a single trial. - Assume that the number of new accouts you get randomly is:
Simulation Trial New Accounts 1 0 2 1 3 0 4 2 5 0 6 2 7 0 8 0 9 1 10 0 11 0 12 0 13 0 14 0 15 1 16 0 17 0 18 1 19 2 20 1 21 0 22 0 23 0 24 2 25 0
Construct a spreadsheet simulation model to analyze the profitability of Gustin’s seminars. Round the answer for the expected profit to the nearest dollar. Round the answer for the probability of a loss to 2 decimal places.
The expected profit from a seminar is $ ___________ and there is a ________ probability of a loss.
Would you recommend that Gustin continue running the seminars?
Gustin ____________ the seminars in their current format.
[a)Should continue to run , b)Should rise the price or c)should consider discounting] - 4.How large of an audience does Gustin need before a seminar’s expected profit is greater than zero? Use Trial-and-error method to answer the question. Round your answer to the nearest whole number.
________________attendees
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