Distributions

FRM
#1

Let X be a uniformly distributed random variable between -1 and 1 so the standard deviation of X is 0.577. what percentage of the distributions will be less than 1.96 standard deviations above the mean?

a) 100%

b) 97.5%

c) 95%

d) Insufficient data

#2

a) 100%

#3

Can you explain the procedure?

Thanks

#4

1.96 × 0.577 = 1.13092. 100% of the distribution is less than 1.13092.

#5

Thanks Magician

#6

My pleasure.