About 11 Of The People Are Born Left Handed We Will Choose 3 People At Random And Let The Random Variable X Be The Num 1 (51.92 KiB) Viewed 26 times
About 11 Of The People Are Born Left Handed We Will Choose 3 People At Random And Let The Random Variable X Be The Num 2 (70.66 KiB) Viewed 26 times
About 11% of the people are born left-handed. We will choose 3 people at random and let the random variable X be the number in the sample who are left-handed. The possible values X can take are 0, 1, 2 and 3. Below is a three-stage tree diagram of the 8 possible outcomes. Note, the second one listed Is LLR (This is short for the first person is left-handed, the second person is left-handed, and the third person is right- handed) First Person Second Person Outcomes Third Person • Lett Left Right Leht leh URL Right Answer A Lett Answers Lett Richt RUR Right RRE Right Right Answers What are the three missing outcomes? Answer A: URR Answer B: RLL Answer C: RRR For the second outcome: LLR, its probability is (0.11)(0.11)(0.89) = 0.010769 For the third outcome: LRL, its probability ts (0.11)(0.89)(0.11) = 0.010769 Determine the probabilities for the remaining 6 outcomes and then use them to fill in the missing values for the probability table below. Remember X = number of Left-handed people. x Probability X 0.001331 0 1 2 3 x 0.261393 Using the table above,
Left Right RLR Right Left RRL Right "Right Answer C What are the three missing outcomes? Answer A: LRR Answer B: REL Answer C: RRR For the second outcome: LLR, its probability is (0.11)(0.11) (0.89) = 0.010769 For the third outcome: LRL, its probability is (0.11) (0.89)(0.11) = 0.010769 Determine the probabilities for the remaining 6 outcomes and then use them to fill in the missing values the probability table below. Remember X = number of Left-handed people. х 0 2 3 Probability x 0.261393 x|0.001331 Using the table above, What is the probability that none of the people are left-handed? What is the probability that at least one of the people are left-handed? X
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