Find the following probabilities for a standard normal random variable z : P(-2.16<= z<=.55)

Jamarcus Schroeder

Jamarcus Schroeder

Open question

2022-08-20

Find the following probabilities for a standard normal random variable z : P(-2.16<= z<=.55)

Answer & Explanation

gypePlealeLertv

gypePlealeLertv

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
The probability P(0z0.55) is given in the row with z=0.5 and in the column with .05 of the normal probability table in the appendix:
P(0z0.55)=0.2088
The probability P(0z2.16) is given in the row with z=2.1 and in the column with .06 of the normal probability table in the appendix. The standard normal distribution is symmetric about 0:
P(2.16z0)=P(0z2.16)=0.4772
Add the corresponding probabilities:
P(2.16z0.55)=P(0z0.55)+P(2.16z0)
=0.2088+0.4846=0.6934

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?