Question

For a Normal distribution with mean, μ=2, and standard deviation, σ=4,

10% of observations have a value less than Round to 4 decimal places.

10% of observations have a value greater than Round to 4 decimal places.

Answer 1

Given,

= 2 , = 4

a)

We have to calculate x such that P( X < x) = 0.10

That is 10th percentile = ?

10th percentile = + Z *

= 2 + (-1.2816) * 4

= -3.1264

b)

We have to calculate x such that P( X > x) = 0.10

P( X < x) = 0.90

That is 90th percentile = ?

90th percentile = + Z *

= 2 + (1.2816) * 4

= 7.1264