Given a random variable X that has a normal distribution with mean μ and variance 1....
Given a random variable X that has a normal distribution with mean μ and variance 1. Which of the following statements are true? (circle all that apply)
A. X takes infinitely many values
B. Y = X-μ is normal but not standard normal distributed
C. There are approximately 50% of the observation that fall below 0
D. There are almost no observations less than μ -4.
Homework Answers
A is true. Because X is a continuous distribution.
B is not true. Because as the variance is 1 so Y= X-miu is standard normal distributed
C is also not true. Because this is only possible when miu=0. But there are nothing mentioned about values of miu.
D is right as the variance is 1.
So only A and D are right
Please let me know if you have any further questions
Also upvote my answer if you like it
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