6. The expected value of a discrete random variable x: a. is the value it is expected to assume in the next trial. b. is the most likely or highest probability value for the random variable. c. is the average value for the random variable over many repeats of the experiment. d. will always be one of the values x can take on, although it may not be the highest probability value for the random variable.

c.is the average value for the random variable over many repeats of the experiment.

Step-by-step explanation:

Expected value of a discrete random variable:

To find the expected value of a discrete random variable, we multiply each outcome of the variable by it's probability, which over many repeats of the experiment, will give the average value, and thus, the correct answer is given by option c.

Even though a discrete random variable takes only discrete values, the mean can be a continuous(decimal) value.

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.