3 years ago
Find the following probabilities for a standard normal random variable z :
P(z<= 1)
P(z<= 1)
1 Answers
Best Answer
Briannarihani Staff answered 3 years ago
Briannarihani Staff answered 3 years ago
Definitions
Complement rule:
P(A^(C))=P(not A)=1-P(A)
Addition rule for disjoint or mutually exclusive events:
P(A ∪ B)=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 of 0 is equal to 0.5).
P(z<= 1)=0.5+0.3413=0.8413
Complement rule:
P(A^(C))=P(not A)=1-P(A)
Addition rule for disjoint or mutually exclusive events:
P(A ∪ B)=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 of 0 is equal to 0.5).
P(z<= 1)=0.5+0.3413=0.8413