Question

Let Z be a standard normal random variable. Use the calculator provided, or this table, to determine the value of c.=P( -0.9 ≤ Z ≤ c)=0.8037 Carry your intermediate computations to at least four decimal places. Round your answer to two decimal places.

Answer 1

Note that:

If, X ~ Normal , then,

We have to use software or Standard Normal table to find its value, I will use R studio here.

R code: pnorm(z)

Also let, , kth quantile of N(0,1)

R code: qnorm(k)

R Code:

 > pnorm(-0.9) [1] 0.1840601 > qnorm(0.9877601) [1] 2.249514