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Engineering Mathematics Miscellaneous

Engineering Mathematics

  1. 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 ___.
    1. 0.90
    2. 0.60
    3. 0.40
    4. 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 =
x - M
σ

z =
500 - 500
= 0
50

∴ (X > 500) = P(z > 0) = 0.50 (see figure)



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