Information on modes of transportation for workers 16 years of age or older livi
ID: 3022102 • Letter: I
Question
Information on modes of transportation for workers 16 years of age or older living in New York is shown in the accompanying chart. If a New York worker is selected at random, find the probability that (s)he was transported by the following means:
a By driving alone
b By public transportation
c By commuting (that is, the person did not work at home)
d By modes that do not involve a motorized vehicle (assume “Other” does not include a motorized vehicle)
Please SHOW YOUR WORK.
Thank you!
Other ( 1.0%) ·Drove Alone (26.0%) carpooled (8.0%) Worked Home (2.0%) walked (9.0%) Public Trans (54.0%) Source: U.S. Census Bureau.Explanation / Answer
(a)
Required to find,
P[The worker drives alone]
= 26/100 (From the picture)
= 0.26
(b)
Required to find,
P[The worker travelled by public transport]
= 54/100 (From the picture)
= 0.54
(c)
P[the worker commuted]
= P[ the worker did not work at home]
= 1 - P[the worker worked at home]
= 1 - 2/100
= 1 - 0.02
= 0.98
(d)
P[ the worker does not travel by motorized vehicle]
= P[the worker either walked or worked at home or used other transporation methods]
= (9+2+1)/100
= 0.12