The random variable X follows a normal distribution ?(20, 102). Find Find P(? > 30 ),



Answered question


The random variable X follows a normal distribution ?(20,102).
Find FdP(?>30),

Answer & Explanation



Skilled2020-11-02Added 103 answers

Step 1
Normal probability is a type of continuous probability distribution that can take random values on the whole real line. The main properties of the normal distribution are:
-It is continuous (and as a consequence, the probability of getting any single, specific outcome is zero)
-It has a "bell shaped" distribution (and that is where the "Bell-Curve" name comes along)
-The normal distribution is determined by two parameters: the population mean and population standard deviation
-It is symmetric with respect to its mean.
Given : The random variable X follows a normal distribution .
Notation: XN(μ=20,σ2=102)
Step 2
We need to compute Pr(X30).
The corresponding z-value needed to be computed is:
Therefore, we get that
Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-14Added 2605 answers

Answer is given below (on video)

Do you have a similar question?

Recalculate according to your conditions!

New Questions in College Statistics

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?