If X is a normal random variable with parameters \mu=10 and PS

Minerva Kline

Minerva Kline

Answered question

2021-11-08

If X is a normal random variable with parameters
μ=10
and
σ2=36
, compute P[X>16]

Answer & Explanation

Marian Tucker

Marian Tucker

Beginner2021-11-09Added 15 answers

Given X is a normal random variable with mean μ=10 and variance σ2=36.
To compute the following probabilities, we will make use of the fact that if XN(μ,σ2), then Z=XμσN(0,1), i.e; Z is a standard normal variable with Φ being its cdf, whose proabilities can be computed using the standard normal table.
P[X>16]=P[Xμσ>16106]
=P[Z>1]
=1Φ(1)
=1-0.8413
=0.1586

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?