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...
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
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?
\[
P(\text{More than 85 of them are first-time buyers}) = \_\_ \quad \text{(Round to four decimal places as needed.)}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff87bdc72-7428-415f-98ff-fbe881a5cc72%2Fb9450a68-0b67-4061-90c0-dde311b7d609%2Fo126jhd_processed.png&w=3840&q=75)
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
Step by step
Solved in 4 steps with 2 images

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman