Identify each of the following statements as True or False. Briefly explain each
ID: 3430700 • Letter: I
Question
Identify each of the following statements as True or False. Briefly explain each of your answers.
(a) For every symmetric random variable X, the median of X equals the average of the first and third quartiles of X.
(b) For every random variable X, the interquartile range of X is greater than the standard deviation of X.
(c) For every random variable X, the expected value of X lies between the first and third quartile of X.
(d) If the standard deviation of a random variable equals zero, then so does its interquartile range.
(e) If the median of a random variable equals its expected value, then the random variable is symmetric
Explanation / Answer
I think that
(a)T
(b)F
(c)T
(d)T
(e)F