Probability.docx - Running Head PROBABILITY 1 1 During a recent survey of ethnic backgrounds of 1000 people in a large city 513 were Canadian 148 were

Probability.docx - Running Head PROBABILITY 1 1 During a...

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Running Head: PROBABILITY 1 1. During a recent survey of ethnic backgrounds of 1000 people in a large city, 513 were Canadian, 148 were French, 72 were African and 56 were Asian and the remainder were from other groups. Calculate the probability that a person, selected at random from the population has: a. a Canadian background? = 513 1000 = 0.513 = 51.3% b. an African background? = 72 1000 = 0.072 = 7.2% c. an “other” background? 513+148+72+56 = 789 1000-789 = 211 = 211 1000 = 0.211 = 21.1% 6 marks 2. A spinner is divided into three equally sized regions as shown. The spinner is spun twice. For each probability you determine, express your answer as a fraction, decimal
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PROBABILITY 2 and percent. a. What is the probability of spinning A on the first spin? 100 ÷ 3= 33.3% P(A)= 1 3 = 0.3 = 33.3% b. Draw a tree diagram to represent the sample space for both spins. c. What is the probability of spinning A followed by B? P(AB)= 2 9 = 0.22 = 22.2% d. What is the probability of getting the same letter on both spins? P(AA,BB,BB,BB,BB)= 5 9
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PROBABILITY 3 = 0.55 = 55.5% 6 marks 3. We have looked in detail at three probability distributions; a. Binomial b. Geometric c. Hypergeometric For each one, i. Explain the conditions in which we would use it. a. Binomial is used when events have a fixed number of trials and a fixed probability of success. Events are also independent. b. Geometric is used when events have a fixed probability of success but not a fixed number of trials. Like binomial, events are independent. c. Hypergeometric is used when events have a fixed number from a finite pool. Unlike binomial and geometric, hypergeometric events are dependent.
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  • Summer '17
  • Statistics, Remainder, Probability, Probability theory, Binomial distribution, Negative binomial distribution, Hypergeometric Distribution, C. Hypergeometric

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