Question Type 4: Finding the value of X using inverse normal Exercises

Question 1

Skill question

Find the value of $a$ such that for $X\sim N(8,3^2)$ , $P(X<a)=0.75$ .

Question 2

Skill question

Find the value of $a$ such that for $X\sim N(8,3^2)$ , $P(X>a)=0.75$ .

Question 3

Skill question

For $X\sim N(60,5^2)$ , find $a$ such that $P(X>a)=0.25$ .

Question 4

Skill question

For $X\sim N(20,4^2)$ , find $a$ such that $P(X>a)=0.20$ .

Question 5

Skill question

Determine $a$ if $X\sim N(8,3^2)$ and $P(X<a)=0.90$ .

Question 6

Skill question

For $X\sim N(8,3^2)$ , find $a$ such that $P(X>a)=0.10$ .

Question 7

Skill question

Determine $a$ if $X\sim N(8,3^2)$ and $P(X>a)=0.90$ .

Question 8

Skill question

For $X\sim N(50,10^2)$ , find $a$ such that $P(X<a)=0.975$ .

Question 9

Skill question

Find $a$ for $X\sim N(8,3^2)$ such that $P(X<a)=0.95$ .

Question 10

Skill question

Find $a$ for $X\sim N(8,3^2)$ such that $P(X>a)=0.95$ .

Question 11

Skill question

For $X\sim N(150,20^2)$ , determine $a$ such that $P(X<a)=0.05$ .

Question 12

Skill question

For $X\sim N(100,15^2)$ , determine $a$ such that $P(X>a)=0.05$ .