The random variable x is normally distributed with mean mu=174 and standard deviation sigma = 20, Find the indicated probability. P(x > 182)

Cristal Travis

Cristal Travis

Open question

2022-08-19

The random variable x is normally distributed with mean
μ=174
and standard deviation
σ=20
Find the indicated probability. P(x > 182)

Answer & Explanation

Allyson Vance

Allyson Vance

Beginner2022-08-20Added 14 answers

Given:
μ=174
σ=20
We need to determine P(x>182).
x=182
The z-score is the value x decreased by the mean and then divided by the standard deviation.
z=xμσ=18217420=820=25=0.40
The probability to the left of z=0.40 is then given in the row with 0.4 and in the column with 0.00 of the standard normal table in the appendix.
P(x<182)=P(z<0.40)=0.6554
Use the Complement rule: P(Ac)=P(¬ A)=1P(A)
P(x>182)=1-P(x<182)=1-0.6554=0.3446
Result:
0.3446

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?