Which of the following statements about probability distributions is least accurate?
A. Continuous uniform distributions have cumulative distribution functions that are straight lines from zero to one.
B. The probability that a continuously distributed random variable will take on a specific value is always zero.
C. A normally distributed random variable divided by its standard deviation will follow a standard normal probability distribution.
Answer: C, A standard normal probability distribution has a mean of zero, so subtracting the mean from a normal random variable before dividing by its standard deviation is necessary to produce a standard normal probability distribution.
Not really sure how to break this one down and make sense of it, any help would be appreciated.
Option C is talking about standardizing a normal distribution. But, it is not stated correctly in the option C. Therefore, option C is the correct answer.
The correct statement -
“A normally distributed random variable _ minus mean _ divided by its standard deviation will follow a standard normal probability distribution.”