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