Question

__________ For a continuous random variable x, the area under the probability distribution curve between any two x-values is always _____.

1. Greater than 1    B) less than zero    C) equal to 1    D) in the range zero to 1, inclusive

_________For a continuous random variable x, the total area under the probability distribution curve of x is always ______?

1. Less than1          B) greater than 1              C) equal to 1                      D) 0.5

___________ The probability that a continuous random variable x is greater than the population mean is _______.

1. 0.68                      B) 0.5                                    C) 0.95                      D) 50

_________ Which of the following is not a characteristic of the normal distribution?

                A) The total area under the curve is 1.0

                B) The curve is symmetric about the mean

                C) The value of the mean is always greater than the value of the standard deviation

                D) The two tails of the curve extend indefinitely

Answer 1

For a continuous random variable x, the area under the probability distribution curve between any two x-values is always in the range zero to 1, inclusive

#2.
For a continuous random variable x, the total area under the probability distribution curve of x is always equal to 1   

#3.
The probability that a continuous random variable x is greater than the population mean is 0.5

#4.
The value of the mean is always greater than the value of the standard deviation