Report an issue

Tutoring

Pricing

Schools

Exercises for Question Type 4: Finding the value of X using inverse normal - IB | RevisionDojo

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

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

Question 1

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

[3]

Question 2

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

[3]

Question 3

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

[3]

Question 4

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

[4]

Question 5

This question requires finding a specific value for a normally distributed random variable given a probability.

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

[4]

Question 6

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

[4]

Question 7

The question concerns finding a specific value in a normal distribution given its cumulative probability.

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

[3]

Question 8

A random variable $X$ follows a normal distribution such that $X \sim N(8, 3^2)$ .

Find the value of $a$ such that $P(X > a) = 0.75$ .

[4]

Question 9

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

[3]

Question 10

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

[4]

Question 11

Statistics and probability: Normal distribution

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

[3]

Question 12

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

[3]