Question

A survey of 300 families was conducted to study income level versus brand preference.
Incomel Brand Preferred Brand1 Brand2 Brand3 Total
High
55
45
20
120
Medium
45
25
25
95
Low
25
35
25
85
Total
125
105
70
300
If a family is selected at random, what is the probability that it belongs to High Income?

Answer 1

Answer:

0.35

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Answer 2

The probability that  a family is selected at random belongs to High Income is 0.4.

Step-by-step explanation:

Survey of 300 families was conducted to study income level versus brand preference.

Income   Brand 1    Brand 2    Brand 3       Total

High         55              45           20              120

Medium    45             25           25               95

Low           25             35           25               85

Total         125            105          70  -            300

To Find:

The probability that  a family is selected at random belongs to High Income.

Formula Used:

The probability which is defined as the possibility of an event to happen is equal to the ratio of the nos. of favorable outcomes and the total nos. of outcomes.

Solution:

The nos. of  families in high income group =120

Total families surveyed =300

The probability that  a family is selected at random belongs to High Income                  $=\frac{The\ nos.\ of\ families\ in\ high\ income\ group}{Total\ families\ surveyed}$

             $=\frac{120}{300} =0.4$

Thus, the probability that  a family is selected at random belongs to High Income is 0.4.

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