ccording to the research, 45% of homes sold in a certain month and year were purchased by first-time buyers. A random sample of 195 people who just purchased omes is selected. Complete parts a through e below. - Calculate the standard error of the proportion. = 0.0356 (Round to four decimal places as needed.) Р . What is the probability that less than 90 of them are first-time buyers? (Less than 90 of them are first-time buyers) = 0.6255 Round to four decimal places as needed.) . What is the probability that more than 97 of them are first-time buyers? (More than 97 of them are first-time buyers) = .0915 Round to four decimal places as needed.) . What is the probability that more than 85 of them are first-time buyers? (More than 85 of them are first-time buyers) = Round to four decimal places as needed.) C...

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

answer the question below

According to the research, 45% of homes sold in a certain month and year were purchased by first-time buyers. A random sample of 195 people who just purchased homes is selected. Complete parts a through d below.

a. Calculate the standard error of the proportion.

\[
\sigma_p = 0.0356 \quad \text{(Round to four decimal places as needed.)}
\]

b. What is the probability that less than 90 of them are first-time buyers?

\[
P(\text{Less than 90 of them are first-time buyers}) = 0.6255 \quad \text{(Round to four decimal places as needed.)}
\]

c. What is the probability that more than 97 of them are first-time buyers?

\[
P(\text{More than 97 of them are first-time buyers}) = 0.0915 \quad \text{(Round to four decimal places as needed.)}
\]

d. What is the probability that more than 85 of them are first-time buyers?

\[
P(\text{More than 85 of them are first-time buyers}) = \_\_ \quad \text{(Round to four decimal places as needed.)}
\]
Transcribed Image Text:According to the research, 45% of homes sold in a certain month and year were purchased by first-time buyers. A random sample of 195 people who just purchased homes is selected. Complete parts a through d below. a. Calculate the standard error of the proportion. \[ \sigma_p = 0.0356 \quad \text{(Round to four decimal places as needed.)} \] b. What is the probability that less than 90 of them are first-time buyers? \[ P(\text{Less than 90 of them are first-time buyers}) = 0.6255 \quad \text{(Round to four decimal places as needed.)} \] c. What is the probability that more than 97 of them are first-time buyers? \[ P(\text{More than 97 of them are first-time buyers}) = 0.0915 \quad \text{(Round to four decimal places as needed.)} \] d. What is the probability that more than 85 of them are first-time buyers? \[ P(\text{More than 85 of them are first-time buyers}) = \_\_ \quad \text{(Round to four decimal places as needed.)} \]
Expert Solution
Step 1: determine the given variable

n=195

P=0.45

steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
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