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A nationalized bank has found that the daily balance available in its savings accounts follows a normal distribution with a mean of Rs. 500 and a standard deviation of Rs. 50. The percentage of savings account holders, who maintain an average daily balance more than Rs. 500 is ___.
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- 0.90
- 0.60
- 0.40
- 0.50
Correct Option: D
Given M = 500
σ = 50
P (X > 500) =?
Where X follows normal distribution
We know that standard normal variable
z = | ||
σ |
z = | = 0 | |
50 |
∴ (X > 500) = P(z > 0) = 0.50 (see figure)