In: Statistics and Probability
Problem 16-05
To generate leads for new business, Gustin Investment Services
offers free financial planning seminars...
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 $3100, and the average
first-year commission for each new account opened is $5800. 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 |
1 |
2 |
2 |
3 |
0 |
4 |
0 |
5 |
1 |
6 |
0 |
7 |
0 |
8 |
0 |
9 |
2 |
10 |
0 |
11 |
0 |
12 |
0 |
13 |
0 |
14 |
0 |
15 |
2 |
16 |
0 |
17 |
1 |
18 |
0 |
19 |
2 |
20 |
0 |
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.
- 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