Stat HW 4.1

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What is a discrete probability​ distribution? What are the two conditions that determine a probability​ distribution?

A discrete probability distribution lists each possible value a random variable can​ assume, together with its probability.

Decide whether the random variable x is discrete or continuous "x represents the tension at which a randomly selected guitar's strings have been strung"

Continuous

Determine whether the random variable is discrete or continuous. "The amount of rain in City B during April"

Continuous

Determine whether the random variable is discrete or continuous. "The exact time it takes to evaluate 27 +72"

Continuous

Determine whether the random variable is discrete or continuous. "The square footage of a house"

Continuous

Determine whether the random variable is discrete or continuous. "The time required to download a file from the internet"

Continuous

Determine whether the random variable is discrete or continuous. "The weight of a t-bone steak"

Continuous

Decide whether the graph represents a discrete random variable or a continuous random variable. "The length of time students use a computer each week"

Continuous, because the length of time is a random variable that is uncountable.

Determine whether the random variable is discrete or continuous. "The # of bald eagles in the country"

Discrete

Determine whether the random variable is discrete or continuous. "The # of free-throw attempts before the first shot it made"

Discrete

Determine whether the random variable is discrete or continuous. "The # of hits to a website in a day"

Discrete

Determine whether the random variable is discrete or continuous. "The # of light bulbs that burn out in the next week in a room with 13 bulbs"

Discrete

Determine whether the random variable is discrete or continuous. "The # of people in a restaurant that has a capacity of 200"

Discrete

Determine whether the random variable is discrete or continuous. "The # of points scored during a basketball game"

Discrete

Determine whether the random variable is discrete or continuous. "The # of statistics students now reading a book"

Discrete

Decide whether the graph represents a discrete random variable or a continuous random variable. "The home attendance for football games at a university"

Discrete, because home attendance is a random variable that is countable.

What are the two conditions that determine a probability​ distribution?

The probability of each value of the discrete random variable is between 0 and​ 1, inclusive, and the sum of all the probabilities is 1.

T/F? The expected value of a random variable can never be negative.

True


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