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

Cecilia Tapia

Cecilia Tapia

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2022-08-18

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

Answer & Explanation

Willow Avery

Willow Avery

Beginner2022-08-19Added 11 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 is given in the row with z=1.0 and in the column with .00 of the normal probability table in the appendix, added to 0.5 (since the probability to the left of 0 is equal to 0.5).
P(z1)=0.5+0.3413=0.8413
Use the complement rule:
P(z>1)

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