According to the research, 46% of homes sold in a certain month and year were purchased by first-lime buyers. A random sample of 175 people who just purchased homos is selected. Complete parts a through e bolow. a. Calculate the standard error of the proportion. o,- (Round to four decimal places as needed.) b. What is the probability that less than 83 of them are first-time buyers? P(Less than 83 of them are first-time buyers) =D (Round to four decimal places as neoded.) c. What is the probability that more than 87 of them are first-time buyers? P(More than 87 of them are first-time buyers) =O (Round to four decimal places as needed.) d. What is the probability that more than 78 of them are first-time buyers? P(More than 78 of them are first-time buyers) (Round to four decimal places as needed.) e. What is the probability that betbween 71 and 77 of them are first-timo buyers? P(Between 71 and 77 of them are first-time buyers) = (Round to four decimal places as needed.)

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, 46% of homes sold in a certain month and year were purchased by first-lime buyers. A random sample of 175 people who just purchased homos is selected.
Complete parts a through e bolow.
a. Calculate the standard error of the proportion.
o,- (Round to four decimal places as needed.)
b. What is the probability that less than 83 of them are first-time buyers?
P(Less than 83 of them are first-time buyers) =D
(Round to four decimal places as neoded.)
c. What is the probability that more than 87 of them are first-time buyers?
P(More than 87 of them are first-time buyers) =O
(Round to four decimal places as needed.)
d. What is the probability that more than 78 of them are first-time buyers?
P(More than 78 of them are first-time buyers)
(Round to four decimal places as needed.)
e. What is the probability that betbween 71 and 77 of them are first-timo buyers?
P(Between 71 and 77 of them are first-time buyers) =
(Round to four decimal places as needed.)
Transcribed Image Text:According to the research, 46% of homes sold in a certain month and year were purchased by first-lime buyers. A random sample of 175 people who just purchased homos is selected. Complete parts a through e bolow. a. Calculate the standard error of the proportion. o,- (Round to four decimal places as needed.) b. What is the probability that less than 83 of them are first-time buyers? P(Less than 83 of them are first-time buyers) =D (Round to four decimal places as neoded.) c. What is the probability that more than 87 of them are first-time buyers? P(More than 87 of them are first-time buyers) =O (Round to four decimal places as needed.) d. What is the probability that more than 78 of them are first-time buyers? P(More than 78 of them are first-time buyers) (Round to four decimal places as needed.) e. What is the probability that betbween 71 and 77 of them are first-timo buyers? P(Between 71 and 77 of them are first-time buyers) = (Round to four decimal places as needed.)
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