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a consumer organization took a random sample of cars driven for non-commercial use and reported what percentage needed to be repaired during a typical 1-year period. they found that 68% of all cars need no repairs; that 21% of cars needed 1 repair; and that 11% of cars needed 2 repairs.

User Jdwyah
by
8.0k points

1 Answer

4 votes

Probability of a randomly chosen car need to be repaired

=

0.81576

Step-by-step explanation:

In one year period

Probability of a randomly chosen car to be repaired once

=

20

%

=

20

100

=

0.2

Probability of a randomly chosen car not to be repaired once

=

1

0.2

=

0.8

Probability of a randomly chosen car to be repaired twice

=

6

%

=

6

100

=

0.06

Probability of a randomly chosen car not to be repaired twice

=

1

0.06

=

0.94

Probability of a randomly chosen car to be repaired three or more

=

2

%

=

2

100

=

0.02

Probability of a randomly chosen car not to be repaired three or more

=

1

0.02

=

0.98

Probability of a randomly chosen car not to be repaired

=

0.2

×

0.94

×

0.98

=

0.18424

Probability of a randomly chosen car need to be repaired = 1 - Probability of a randomly chosen car not to be repaired

=

1

0.18424

=

0.81576

User Raul
by
7.2k points

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