Question

Let X be a random variable with a standard normal distribution. Determine the value of t if P(t <= X <= 2) = 0.1000 Give your answer to 4 decimal places.

Answer 1

Answer:-

Let X be a random variable with a standard normal distribution.

Standard normal distribution is distribution whose mean =0 and standard deviation =1:

i.e, X ~ N(0,1)

Therefore ,

P( t <= X <=2) = 0.1000

P(  (t -0)/1 <= Z <= (2-0)/1 ) =0.1

P(t <= Z <= 2) = 0.1