BUS 19- CH 6: Communicating with Numbers

A continuous random variable X can assume

An infinite number of values over some interval.

Which of the following can be represented by a continuous random variable?

The high daily temp in Tampa, FL during the month of July, measured in degrees.

a continuous random variable X follows the uniform distribution with a lower limit of a and a upper limit of b. the expected value of X is calculated as____.

a+b/2

The shape of the graph depicting the normal probability density function is ____.

bell shape

the probability distribution of a continuous random variable is called is probability

density function

the total area under the normal curve is ___.

equal to 1.

For a continuous random variable, one characteristic of its probability density function f(x) is that

f(x) is greater than or equal to 0 for all values x of X.

For a continuous random variable X, the cumulative distribution function F(x) provides the probability that X is

less than or equal to any value of x

Which of the following continuous distributions are positively skewed and bounded below by zero?

lognormal distribution and exponential distribution

The probability distribution of a discrete random variable is called its probability

mass function

the normal distribution is completely described by these two parameters:

mean and variance

If X is a normally distributed random variable, then

the mean, median, and mode are all equal

A manager of a women's clothing store is projecting next month's sales. her low-end estimate of sales is $25,000 and her high end estimate is $50,000. She decides to treat all outcomes for sales between thee two values as equally likely. If we define the random variable X as sales, then X follows the

uniform distribution

The probability that a continuous random variable X assumes a particular value X is

zero