In a sales effectiveness seminar, a group of sales representatives tried two approaches to selling a customer a new automobile: the aggressive approach and tH passive approach. For 1160 customers, the following record was kept: Sale No Sale Row Total Aggressive Passive Column Total 252 328 580 475 105 580 727 433 1160 Suppose a customer is selected at random from the 1160 participating customers. Let us use the following notation for events: A = aggressive approach, Pa = passive approach, S = sale, N = no sale. So, P(A) is the probability that an aggressive approach was used, and so on. (a) Compute P(S), P(S | A), and P(S | Pa). (Enter your answers as fractions.) P(S) = P(S | A) = P(S | Pa) = (b) Are the events S = sale and Pa = passive approach independent? Explain. O No. The two events cannot occur together. O Yes. P(S) = P(S | Pa). ONo. P(S) # P(S | Pa). O Yes. The two events can occur together. (c) Compute P(A and S) and P(Pa and S). (Enter your answers as fractions.) P(A and S) = P(Pa and S) =

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
100%
**Educational Content on Sales Effectiveness Using Statistical Analysis**

In a sales effectiveness seminar, a group of sales representatives tried two approaches to selling a customer a new automobile: the aggressive approach and the passive approach. For 1160 customers, the following record was kept:

|               | Sale | No Sale | Row Total |
|---------------|------|---------|-----------|
| **Aggressive**| 252  | 328     | 580       |
| **Passive**   | 475  | 105     | 580       |
| **Column Total**   | 727  | 433     | 1160      |

Suppose a customer is selected at random from the 1160 participating customers. Let us use the following notation for events: \( A \) = aggressive approach, \( Pa \) = passive approach, \( S \) = sale, \( N \) = no sale. So, \( P(A) \) is the probability that an aggressive approach was used, and so on.

(a) Compute \( P(S) \), \( P(S \mid A) \), and \( P(S \mid Pa) \). (Enter your answers as fractions.)

\( P(S) = \underline{\phantom{ANSWER}} \)

\( P(S \mid A) = \underline{\phantom{ANSWER}} \)

\( P(S \mid Pa) = \underline{\phantom{ANSWER}} \)

(b) Are the events \( S = \) sale and \( Pa = \) passive approach independent? Explain.

- ☐ No. The two events cannot occur together.
- ☐ Yes. \( P(S) = P(S \mid Pa) \).
- ☐ No. \( P(S) \neq P(S \mid Pa) \).
- ☐ Yes. The two events can occur together.

(c) Compute \( P(A \text{ and } S) \) and \( P(Pa \text{ and } S) \). (Enter your answers as fractions.)

\( P(A \text{ and } S) = \underline{\phantom{ANSWER}} \)

\( P(Pa \text{ and } S) = \underline{\phantom{ANSWER}} \)

(d) Compute \( P(N) \) and \( P(N \mid A) \). (Enter your answers as fractions.)

\( P(N) = \underline{\phantom{ANSWER}} \)

\( P(N
Transcribed Image Text:**Educational Content on Sales Effectiveness Using Statistical Analysis** In a sales effectiveness seminar, a group of sales representatives tried two approaches to selling a customer a new automobile: the aggressive approach and the passive approach. For 1160 customers, the following record was kept: | | Sale | No Sale | Row Total | |---------------|------|---------|-----------| | **Aggressive**| 252 | 328 | 580 | | **Passive** | 475 | 105 | 580 | | **Column Total** | 727 | 433 | 1160 | Suppose a customer is selected at random from the 1160 participating customers. Let us use the following notation for events: \( A \) = aggressive approach, \( Pa \) = passive approach, \( S \) = sale, \( N \) = no sale. So, \( P(A) \) is the probability that an aggressive approach was used, and so on. (a) Compute \( P(S) \), \( P(S \mid A) \), and \( P(S \mid Pa) \). (Enter your answers as fractions.) \( P(S) = \underline{\phantom{ANSWER}} \) \( P(S \mid A) = \underline{\phantom{ANSWER}} \) \( P(S \mid Pa) = \underline{\phantom{ANSWER}} \) (b) Are the events \( S = \) sale and \( Pa = \) passive approach independent? Explain. - ☐ No. The two events cannot occur together. - ☐ Yes. \( P(S) = P(S \mid Pa) \). - ☐ No. \( P(S) \neq P(S \mid Pa) \). - ☐ Yes. The two events can occur together. (c) Compute \( P(A \text{ and } S) \) and \( P(Pa \text{ and } S) \). (Enter your answers as fractions.) \( P(A \text{ and } S) = \underline{\phantom{ANSWER}} \) \( P(Pa \text{ and } S) = \underline{\phantom{ANSWER}} \) (d) Compute \( P(N) \) and \( P(N \mid A) \). (Enter your answers as fractions.) \( P(N) = \underline{\phantom{ANSWER}} \) \( P(N
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman