To determine the probability that a randomly selected person from this group earns more than ₹ 40000 annually, we can proceed with the following steps:
1. Identify the total number of people surveyed:
According to the poll data, the total number of people surveyed is 10,000.
2. Determine the number of people earning more than ₹ 40000 annually:
From the given data, individuals earning more than ₹ 40000 are distributed over three salary brackets:
- ₹ 40001 to ₹ 75000: 880 people
- ₹ 75001 to ₹ 150000: 1080 people
- ₹ 150001 to ₹ 250000: 3136 people
- More than ₹ 250000: 4704 people
By adding these numbers, the total number of people earning more than ₹ 40000 is:
[tex]\[
880 + 1080 + 3136 + 4704 = 9800
\][/tex]
3. Calculate the probability:
The probability that a randomly selected person earns more than ₹ 40000 annually is the ratio of the number of people earning more than ₹ 40000 to the total number of people surveyed.
Thus, the probability [tex]\( P \)[/tex] is given by:
[tex]\[
P = \frac{\text{Number of people earning more than } ₹ 40000}{\text{Total number of people}}
\][/tex]
Substituting the numbers, we get:
[tex]\[
P = \frac{9800}{10000} = 0.98
\][/tex]
Therefore, the probability that a randomly chosen person from this survey group earns more than ₹ 40000 annually is 0.98.
