The law firm of Hagel and Hagel is located in downtown Cincinnati. There are 10 partners in the firm; 7 live in Ohio and 3 in northern Kentucky. Ms. Wendy Hagel, the managing partner, wants to appoint a committee of 3 partners to look into moving the firm to northern Kentucky. If the committee is selected at random from the 10 partners, what is the probability that: a. One member of the committee lives in northern Kentucky and the others live in Ohio? b. At least 1 member of the committee lives in northern Kentucky?

NOTES Week 7 CH 15 (continued): Geometric, Poisson, and Exponential Distributions Quick review: binomial variable X = k = # of successes ! − = =) − ) ! − !) Or P(k) = Now we have geometric distributions Geometric variable X = m = # of trials until 1 success (success happens at m) Ex: Flip a coin until you get Tails, roll a die until you get a 3 Geometric Assumptions/Rules: 1. Each observation falls into success/failure category 2. Observations are independent 3. Probability of “success” p stays constant/the same fo