(1 point) Decide whether each statement is true or false. ? 1. A random variable
ID: 3319659 • Letter: #
Question
(1 point) Decide whether each statement is true or false. ? 1. A random variable X is normally distributed with a mean of 150 and a variance of 36, Given that X = 120, its corresponding z-score is 5.0 A 2. The mean and standard deviation of an exponential random variable are equal to each ? other. 3. Let Z1 be a z-score that is unknown but identifiable by position and area. If the symmetrical area between -zi and +z1 is 0.9544, the value of zi is 2.0 4. Using the standard normal curve, the z-score representing the 75th percentile is 0.67.Explanation / Answer
a) Z score = (120-150)/36 = -0.83. So, it is False
b) It is True.
c) Yes it is True. Excel function NORMSINV(0.9544+(1-0.9544)/2) = 2.0
D) Use Excel function
NORMSINV(0.75)
= 0.67
So, It is True
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