a) If the salesperson makes 15 demonstrations, what is the probability that there would be exactly 4 orders? b) If the salesperson makes 16 demonstrations, what is the probability that there would be at most 4 orders? c) If the salesperson makes 17 demonstrations, what is the probability that there would be at least 4 orders?

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
Topic Video
Question

A salesperson goes door-to-door in a residential area to demonstrate the use
of a new household appliance to potential customers. At the end of a demonstration,
the probability that the potential customer would place an order for the product is a
constant 0.2107. To perform satisfactorily on the job, the salesperson needs at least
four orders. Assume that each demonstration is a Bernoulli trial.

a) If the salesperson makes 15 demonstrations, what is the probability that
there would be exactly 4 orders?

b) If the salesperson makes 16 demonstrations, what is the probability that
there would be at most 4 orders?

c) If the salesperson makes 17 demonstrations, what is the probability that
there would be at least 4 orders?

d) If the salesperson makes 18 demonstrations, what is the probability that
there would be anywhere from 4 to 8 (both inclusive) orders?

e) If the salesperson wants to be at least 90% confident of getting at least4 orders, at least how many demonstrations should she make?

f) The salesperson has time to make only 22 demonstrations, and she still
wants to be at least 90% confident of getting at least 4 orders. She intends
to gain this confidence by improving the quality of her demonstration and
thereby improving the chances of getting an order at the end of a demonstration.
At least to what value should this probability be increased in
order to gain the desired confidence? Your answer should be accurate to
four decimal places.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar 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