Test Index

Probability

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Question : 53 of 127

Marks: +1, -0

Following are the wages of 8 workers in rupees:

50,62,40,70,45,56,32,45 If one of the workers is selected at random, what is the probability that his wage would be lower than the average wage?

$0.625$
$0.500$
$0.375$
$0.450$

Solution:

Concept:

Probability that a randomly selected worker’s wage is lower than the average wage.

Explanation:

Step 1: Compute the average wage.

Sum of wages =

50 + 62 + 40 + 70 + 45 + 56 + 32 + 45 = 400

.

Number of workers =

8

.

Average wage =

\frac{400}{8} = 50

rupees.

Step 2: Count workers with wage strictly less than 50.

Wages below 50:

40, 45, 45, 32

— that is 4 workers.

Step 3: Required probability =

\frac{\text{favorable outcomes}}{\text{total outcomes}} = \frac{4}{8} = 0.5

.

Answer:

0.500

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