Discrete and Continuous Random Variables. Yesterday we calculated the mean number of goals for a randomly selected team in a randomly selected game.

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Presentation transcript:

Discrete and Continuous Random Variables

Yesterday we calculated the mean number of goals for a randomly selected team in a randomly selected game to be μ x = The table below gives the probability distribution for X one more time. Compute and interpret the standard deviation of the random variable X.

A continuous random variable X takes all values in an interval of numbers. The probability distribution of X is described by a density curve. The probability of any event is the area under the density curve and above the values of x that make up the event.

The weights of three-year-old females closely follow a Normal distribution with a mean of μ =30.7 pounds and a standard deviation of 3.6 pounds. Randomly choose one three- year-old female and call her weight X. Find the probability that the randomly selected three-year-old female weighs at least 30 pounds.

 I can calculate the standard deviation of a discrete random variable.  I can interpret the standard deviation of a discrete random variable.  I can use a probability distribution to answer questions about possible values of a random variable.

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