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...

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 e below.
a. Calculate the standard error of the proportion.
ор
= 0.0356 (Round to four decimal places as needed.)
b. What is the probability that less than 90 of them are first-time buyers?
P(Less than 90 of them are first-time buyers) = 0.6255
(Round to four decimal places as needed.)
c. What is the probability that more than 97 of them are first-time buyers?
P(More than 97 of them are first-time buyers) = .0915
(Round to four decimal places as needed.)
d. What is the probability that more than 85 of them are first-time buyers?
P(More than 85 of them are first-time buyers) =
(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 e below. a. Calculate the standard error of the proportion. ор = 0.0356 (Round to four decimal places as needed.) b. What is the probability that less than 90 of them are first-time buyers? P(Less than 90 of them are first-time buyers) = 0.6255 (Round to four decimal places as needed.) c. What is the probability that more than 97 of them are first-time buyers? P(More than 97 of them are first-time buyers) = .0915 (Round to four decimal places as needed.) d. What is the probability that more than 85 of them are first-time buyers? P(More than 85 of them are first-time buyers) = (Round to four decimal places as needed.)
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