1. The table below gives the thousands of commuters in Massachusetts in 2015 by transportation method and one-way length of commute. < 15min 15-29min 30-44min 44-59min 60 or > total private vehicle 636 908 590 257 256 2647 public transport 9 54 96 62 108 329 other 115 70 23 7 222 Total 760 1032 709 326 371 3198 Find the following as decimals to the nearest thousandth: a) P(private vehicle and 15-29 min. commute) "and" is key =ncerivatevehicle and 15 908 にerd84 ろ1981 0.282 0.283931 to tal b) P(private vehicle) xP (15-29 min. commute ) =(Pr ?(Private vehicle) x e(15 -29 min, total = 2647 to tal 7 0.82770S x0,32270230.2 %3D 1032 3198 3198 =0.267 c) Based on your calculations, are having a private vehicle and a 15-29 min. commute time independent of one another? Google the formula for independent probability look for set notation. Independent : Plerivate vehicle and 15-29 min,com P(private venicle)xP(15-29min Commute frem Parts (A) and(6) Not Independent:P(Privale vehicle and15-39min commute): P(Private ehicle)xP(15aamin commute) Private venice and 15-29 min.commute are not D) How do you know? Can you make a formula for independent events using set notation? indeR
1. The table below gives the thousands of commuters in Massachusetts in 2015 by transportation method and one-way length of commute. < 15min 15-29min 30-44min 44-59min 60 or > total private vehicle 636 908 590 257 256 2647 public transport 9 54 96 62 108 329 other 115 70 23 7 222 Total 760 1032 709 326 371 3198 Find the following as decimals to the nearest thousandth: a) P(private vehicle and 15-29 min. commute) "and" is key =ncerivatevehicle and 15 908 にerd84 ろ1981 0.282 0.283931 to tal b) P(private vehicle) xP (15-29 min. commute ) =(Pr ?(Private vehicle) x e(15 -29 min, total = 2647 to tal 7 0.82770S x0,32270230.2 %3D 1032 3198 3198 =0.267 c) Based on your calculations, are having a private vehicle and a 15-29 min. commute time independent of one another? Google the formula for independent probability look for set notation. Independent : Plerivate vehicle and 15-29 min,com P(private venicle)xP(15-29min Commute frem Parts (A) and(6) Not Independent:P(Privale vehicle and15-39min commute): P(Private ehicle)xP(15aamin commute) Private venice and 15-29 min.commute are not D) How do you know? Can you make a formula for independent events using set notation? indeR
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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I only need help with "D" i only need help with "D" thank you!
Transcribed Image Text:1. The table below gives the thousands of commuters in Massachusetts in 2015 by transportation
method and one-way length of commute.
< 15min
15-29min
30-44min
44-59min
60 or>
total
private vehicle 636
908
590
257
256
2647
public transport 9
54
96
62
108
329
öther
115
70
23
7
7
222
Total
760
1032
709
326
371
3198
Find the following as decimals to the nearest thousandth:
a) P(private vehicle and 15-29 min. commute) "and" is key =ncerivatevehicle and 1.29 min
%3D
908
Commut
3198 0.2839
0.283931
to tal
b) P(private vehicle) xP (15-29 min. commute ) =(privak vehice x P(15 -29 min.commute
=2647
total
to tal
て0.277OS x0,322702=0.2
1032
3198
3198
=0.267I
c) Based on your calculations, are having a private vehicle and a 15-29 min. commute time independent
of one another? Google the formula for independent probability look for set notation.
Independent : Plerivate vehicle and 15-39 min.commute)=
P(private venicce)xP(15-29min Commute)
from Parts (A) and(6)
LOE Independent:P(Privale vehicle and15-39min commute) t
PCPrivate vehicle)xP(15aamin commute)
Private enice and 15-29 min.commnute are not
D) How do you know? Can you make a formula for independent events using set notation?
inclerendent.
Transcribed Image Text:1. The table below gives the thousands of commuters in Massachusetts in 2015 by transportation
method and one-way length of commute.
< 15min
15-29min
30-44min
44-59min
60 or >
total
private vehicle 636
908
590
257
256
2647
public transport 9
54
96
62
108
329
other
115
70
23
7
7
222
Total 760
1032
709
326
371
3198
Find the following as decimals to the nearest thousandth:
a) P(private vehicle and 15-29 min. commute) "and" is key =ncerivatevehicle and 15-29 min
908
co mmule)
00841
31981 0.283
0.283937
total
b) P(private vehicle) xP (15-29 min. commute)
?(privatevehicle x P(15 -29 min.commute)
2l647
1032
total
to tal
3198
て 0.8277OS x0,322.702=0.26710
3198
=0.267I
c) Based on your calculations, are having a private vehicle and a 15-29 min. commute time independent
of one another? Google the formula for independent probability look for set notation.
Independent : P(private vehicle and 15-39 min,commute)=|
Plprivate venicce)xP(15-29min Commute)
frem Parts (A) and(B)
Not Independent: P(Private vehicle cind15-39min commute) t
P(Private vehicle)xP(1saamin commute)
Private enicle and 15-29 min.commute are not
D) How do you know? Can you make a formula for independent events using set notation?
incerendent.
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