Find the following probabilities for a standard normal random variable z : P(z=1)

Karli Kidd

Karli Kidd

Open question

2022-08-20

Find the following probabilities for a standard normal random variable z : P(z=1)

Answer & Explanation

elverku7

elverku7

Beginner2022-08-21Added 9 answers

Definitions
Complement rule:
P(AC)=P(¬ A)=1P(A)
Addition rule for disjoint or mutually exclusive events:
P(AB)=P(A or B)=P(A)+P(B)
Solution
A standard normal random variable is a continuous random variable. The probability that a continuous random variable is equal to 1 single value is always 0 (because the probability is the area and there is no area when we only have 1 single value).
P(z=1)=0

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?