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Question

A manufacturer of automobiles conducted a market survey. #80%# of the customers want better fuel efficiency, while #55%# want a vehicle navigation system and #45%# percent want both features.
The probability that a person wants either better fuel efficiency or a vehicle navigation system is:

#a)0.35#
#b)0.9#
#c)0.40#
#d)0.1#

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Answer 1 · 2018-05-04T16:26:48

Probability is #0.90# and answer is #(b)#.

As #80%# of the customers want better fuel efficiency and #45%#
want both features, #80%-45%=color(red)(35%)# want only better fuel efficiency.

Similarly as #55%# want a vehicle navigation system and #45%#
want both features, #55%-45%=color(red)(10%)# want only vehicle navigation system.

Hence #35%+10%+45%=90%# want either better fuel efficiency or a vehicle navigation system and

Probability is #90/100=0.90# and answer is #(b)#.