A monthly income of a group of 10000 person were found to be normally distributed with mean equal to rs. 15000 and standard deviation equal to rs. 1000 ? What is the lowest income among the richest 250 persons
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Answer:
SORRY BRO ITS EMERGENCY
Explanation:
Answered by
3
The lowest income among the 250 richest people is Rs. 16,960.
Step-by-Step Explanation:
- Let x be the variable representing the income.
- This can be depicted as x - N (15,000,1000²)
- Thus, the proportions of persons having income beyond x are
250/10,000 = 0.025
- Which may be taken as the probabilities of a person having income beyond x.
- According to the standard normal curve table, we have to find the value of z, the area beyond which is 0.025
- The table gives area from 0 to a specified value of z, we have to find the value of z, the area up to which is
0.5 - 0.025 = 0.475
From table T1 of the area under the standard normal curve, we find the corresponding value of z as 1.96.
- Now, Since z = 1.96, we have
1.96 = x - 15000/1000
i.e., 1000 * 1.96 = x- 15000
x = 15000 + 1960
= 16960.
Therefore, the lowest income among the 250 richest people is Rs. 16,960.
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