4.1 Probability Distributions

Do you remember? Relative Frequency Histogram

Random Variables X, has a single value for each outcome in an experiment When Rolling a 6 sided dice X could be equal to 1,2,3,4,5,6

Discrete Random Variables Have values separate from one another The number of calls made by a salesperson

Continuous Random Variable Have an infinite number of possible values in a continuous intervals The length of time a salesperson spent on the phone

Probability Distributions They show what the likelihood of all events in the sample space

Single Dice Rolled

Flipping 3 Coins

Now we Make One Make a probability distribution for the numbers of tails on 3 flips.

Expected Value

What is the expected number of Tails when you flip a coin 3 times?

Committee of Women Suppose you want to select a committee consisting of three people. The group from which the committee members can be selected consists of four men and three women. Make a probability histogram for this distribution Calculate the expected number of women on the committee.

Assignment Pg 151 #’s 1,4,5,6abcd,7,8,9,14