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Meet the ladies!

Meet the ladies!. But…are they all ladies?. P(“female” chick is actually female) = 0.9. We selected 4 chicks (from over 500 in the store). Independent or dependent sampling?. P(all hens). P(all roosters). P(1 rooster, 3 hens ). hmmmmmmm ….  hens per group of 4.

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Meet the ladies!

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  1. Meet the ladies!

  2. But…are they all ladies?

  3. P(“female” chick is actually female) = 0.9 We selected 4 chicks (from over 500 in the store)

  4. Independent or dependent sampling? • P(all hens) • P(all roosters) • P(1 rooster, 3 hens) • hmmmmmmm…. •  hens per group of 4 • (hmmmmmmm…)2 •  hens per group of 4 • ( hmmmmmmm …)3 • Let’s Build!

  5. Binomial Random Variables • Binomialexperiments have… • 1)…a fixed number of independent trials… For this exercise, it’s the 4 chicks (arguably independent). 2)…two mutually exclusive outcomes per trial… A chickis either male or female. • 3)…and constant, complementary probabilities • from trial to trial. Both of them! P(female) = 0.9 P(male) = 0.1

  6. Does this describe a binomial experiment? • Rolling a single die, and • counting the pips you get. • Rolling a single die, and • betting on 3.

  7. Does this describe a binomial experiment? • Rolling twodice, and • summing the pips you get. • Rolling twodice, and • betting on 7 or 11. • Rolling twodice 5 times, and • betting on 7 or 11 each time.

  8. Does this describe a binomial experiment? • Betting on “5” in Chuck – A – Luck.

  9. Does this describe a binomial experiment? • About 7% of American men have • red/green color blindness (RGCB). • You select 20 at random and check • to see how many have RGCB.

  10. Does this describe a binomial experiment? • About 7% of American men have • red/green color blindness (RGCB). • You keep selecting men at random • until you’ve found 20 that have RGCB.

  11. Does this describe a binomial experiment? • About 7% of American men have • red/green color blindness (RGCB). • I think this class has the same • proportion. I select 10 men at • random from this class and check • them for RGCB.

  12. …Max, summer 2010…

  13. Assume Max is guessing when he puts his Crocs on, and assume he tries 10 times...is that a binomial experiment? • Cool aside: for a binomial RV, • = np • (n = number of trials, p = chance of success on one trial)

  14. Assume Max is guessing when he puts his Crocs on, and assume he tries 10 times… Cool aside (2) : for a binomial RV, (q = chance of failure on one trial)

  15. Assume Max is guessing when he puts his Crocs on, and assume he tries 10 times…

  16. (a 244 – ish question)... in 10 tries, he got his Crocs on the correct feet only once. Based on your previous answers, do you think he’s guessing when he puts his Crocs on? Why or why not? Homework for the Binomial Distribution

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