Let X and Y be two normal random variables, with means 0 and 3 , respectively, and variances 1 and 16 , respectively. Find the following, using the standard normal table. Express your answers to an accuracy of 3 decimal places.
1. P(X>−1)=0.841
2. P(X≤−2)=0.023
3. Let V=(4−Y)/3 . Find the mean and the variance of V .
4. E[V]=0.333
5. Var(V)=1.778
6. P(−2<Y≤2)=
Let X and Y be two normal random variables, with means 0 and 3 , respectively, and variances 1 and 16 , respectively. Find the following, using the standard normal table. Express your answers to an accuracy of 3 decimal places.
1. P(X>−1)=
2. P(X≤−2)
3. Let V=(4−Y)/3 . Find the mean and the variance of V .
4. E[V]=
5. Var(V)=
6. P(−2<Y≤2)=
2 answers
6. P(−2<Y≤2)= 0.2957