A market researcher wants to determine whether a new model of a personal computer that had been advertised on a late night talk show had achieved more brand name recognition among people who watched the show regularly than among people who did not. After conducting a survey, it was found that 13% of all people both watched the show regularly and could corectly identify the product Also, 15% of all people regularly watched the show and 40% of all people could correctly identify the product Define a pair of random variables as shown below Complete parts (a) through (c) X-1 regularly watch the show Y-1 product comectly identified a Find the joint probability fundion of X and Y X 0 0 0.58 027 X=0 otherwise Y 0 otherwise 1 0:00 0.13 Do not found) b Find the conditional probability function of Y, gven X-1. P011)-0133 (Round to three decimal places as needed) P111)-0867 (ound to three decame places as needed) e Fed and interpret the covariance beheeon X and Y CoviXY (Do not round) C)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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A market researcher wants to determine whether a new model of a personal computer that had been advertised on a late night talk show had achieved more brand name recognition among people who watched the show
regularly than among people who did not. After conducting a survey, it was found that 13% of all people both watched the show regularly and could corectly identify the product Also, 15% of all people regularly watched the
show and 40% of all people could correctly identify the product Define a pair of random variables as shown below Complete parts (a) through (c)
X-1 regularly watch the show
Y-1 product comectly identified
a Find the joint probability fundion of X and Y
X
0
0
0.58
027
X=0 otherwise
Y 0 otherwise
1
0:00
0.13
Do not found)
b Find the conditional probability function of Y, gven X-1.
P011)-0133 (Round to three decimal places as needed)
P111)-0867 (ound to three decame places as needed)
e Fed and interpret the covariance beheeon X and Y
CoviXY (Do not round)
C)
Transcribed Image Text:A market researcher wants to determine whether a new model of a personal computer that had been advertised on a late night talk show had achieved more brand name recognition among people who watched the show regularly than among people who did not. After conducting a survey, it was found that 13% of all people both watched the show regularly and could corectly identify the product Also, 15% of all people regularly watched the show and 40% of all people could correctly identify the product Define a pair of random variables as shown below Complete parts (a) through (c) X-1 regularly watch the show Y-1 product comectly identified a Find the joint probability fundion of X and Y X 0 0 0.58 027 X=0 otherwise Y 0 otherwise 1 0:00 0.13 Do not found) b Find the conditional probability function of Y, gven X-1. P011)-0133 (Round to three decimal places as needed) P111)-0867 (ound to three decame places as needed) e Fed and interpret the covariance beheeon X and Y CoviXY (Do not round) C)
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