Information on modes of transportation for workers 16 years

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.

Solution

(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