Question

.An organisation selected 2400 families at random and surveyed them to

determine a relationship between income level and the number of vehicles in a

family.

The information gathered is listed in the table below :

Suppose a family is chosen. Find the probability that the family chosen is

(i) earning Rs 10000-13000 per month and owning exactly 2 vehicles.

(ii) earning Rs 16000 or more per month and owning exactly 1 vehicles.

(iii) earning less than Rs 7000 per month and does not own any vehicle.

(iv) earning Rs 13000 -16000 per month and owning more than 2 vehicles.

(v) owning not more than 1 vehicle​

Answer 1

Answer:

Number of families surveyed

=10+60+25+0+0+305+27+2+1+535+

29+1+2+469+55+25+579+82+88

=2400

(i) Number of families earning Rs. 10000−13000 per month and owning exactly 2 vehicles =29

P=

2400

29

(ii) Number of families earning Rs. 16000 or more per month and owning exactly 1 vehicle =579

P=

2400

579

(iii) Number of families earning less than Rs. 7000 per month and does not own any vehicle =10

P=

2400

10

=

240

1

(iv) Number of families earning Rs. 13000−16000 per month and owning more than 2 vehicles =25

P=

2400

25

=

96

1

(v) Number of families owning not more than 1 vehicle

=10+160+0+305+1+535+2+469+1+579=2062

P=

2400

2062

=

1200

1031