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# Probability Dist.

### 4.1

What is random variable x numerical value associated with each outcome of a probability experiment
what is a discrete variable? finite or countable # of outcomes
what is a continuous variable? uncountable # of outcomes, represented by an interval on a number line. Example: Age, Height, Weight
what are the discrete probability distribution conditions? 0 < or = to P(x) < or = to 1 SUM P(x)=1
What are the 2 steps in constructing a discrete probability distribution ? 1. make freq. dist. for possible outcomes 2. SUM F 3. find probability of each outcome [P(f)] by F/(SUM F) 4. Check work. All add up to 1?
what is the formula to find the mean of the discrete random variable u=E[x*P(x)]
what is the formula to find the variance of a discrete random variable? o^2=E[(x-u)^2P(x)]
what is the formula to find the standard deviation of a discrete random variable? o=sq rt o^2 =sq rt E[(x-u)^2P(x)]
What is the formula to find the expected value of a discrete random variable? E(x)=u=E[x*P(x)]
At a raffle, 1,500 tickets are sold at \$2 each for 4 prizes of \$500, \$250, \$150, & \$75. You buy one ticket. What is the expected value of your gain? -\$1.35: Because the expected value is neg, you can expect to lose an average of \$1.35 for each ticket you buy.
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