Question

Select True or False from each pull-down menu, depending on whether the corresponding statement is true or false.

   True    False      1. In the normal distribution, the total area beneath the curve represents the probability for all possible outcomes for a given event.

True    False      2. In the normal distribution, the mean, median, mode, and variance are all at the same position on the horizontal axis since the distribution is symmetric.

    True    False      3. In the exponential distribution, the value of ?x can be any of an infinite number of values in the given range.

    True    False      4. A continuous probability distribution represents a random variable having an infinite number of outcomes which may assume any number of values within an interval.

Answer 1

(1) True

>> The total area beneath the normal curve is equal to 1, which represents the probability for all possible outcomes for a given event.

(2) False

>> In the normal distribution, the mean, median and mode are all at the same position on the horizontal axis since the distribution is symmetric, but the variance can any real valued number.

(3) True

>> The exponential distribution is a type of continuous distribution. For a continuous distribution, the variable x can take any value within a specified range, i.e. the value of x can be any of an infinite number of values.

(4) True

>> A continuous probability distribution represents a random variable having an infinite number of outcomes which may assume any number of values within an interval.

>>