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Experimental Probability

Experimental Probability. COURSE 2 LESSON 12-2. A dog breeder knows that it is equally likely that a puppy will be male or female. Use a simulation to find the experimental probability that, in a litter of four puppies, all four will be male.

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Experimental Probability

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  1. Experimental Probability COURSE 2 LESSON 12-2 A dog breeder knows that it is equally likely that a puppy will be male or female. Use a simulation to find the experimental probability that, in a litter of four puppies, all four will be male. Simulate the problem by tossing four coins at the same time. Assume that male and female puppies are equally likely. Let “heads” represent a female and “tails” represent a male. A sample of 16 tosses is shown on the following slide. 12-2

  2. Trial Male Female 1 2 3 4 5 6 7 8 Trial Male Female 9 10 11 12 13 14 15 16 Experimental Probability COURSE 2 LESSON 12-2 (continued) 12-2

  3. number of times four tails occur 1 16 P(exactly four males)= total number of trials Results will vary, but, according to this simulation, the experimental probability that in a litter of four puppies all four will be male is . 1 16 Experimental Probability COURSE 2 LESSON 12-2 (continued) 12-2

  4. number of throws made P(free throw) = total number of attempted free throws 7 12 7 12 The experimental probability of making a free throw is . Experimental Probability COURSE 2 LESSON 12-2 A player makes 7 free throws out of 12 attempts during a game. Based on this game, what is the experimental probability of this player making a free throw? 12-2

  5. number of defective parts P(defective part) = total number of parts checked 2 100 Simplify. = 1 50 1 50 The experimental probability is . Experimental Probability COURSE 2 LESSON 12-2 A manufacturer of computer parts checks 100 parts each day. On Monday, two of the checked parts are defective. a. What is the experimental probability that a part is defective? 12-2

  6. 1 50 defective defective x 1,250 = Write a proportion. total total 1(1,250) = 50xWrite the cross products. 1,250 = 50xSimplify. Experimental Probability COURSE 2 LESSON 12-2 (continued) b.  Predict the probable number of defective parts in Monday’s total production of 1,250 parts. Let x represent the predicted number of defective parts. 12-2

  7. 1,250 50 50x 50 = Divide each side by 50. 25 = xSimplify. Experimental Probability COURSE 2 LESSON 12-2 (continued) You can predict 25 parts out of 1,250 to be defective. 12-2

  8. 1 200 Experimental Probability COURSE 2 LESSON 12-2 A manufacturer makes computer circuit boards. A random check of 5,000 circuit boards shows that 25 are defective. 1. What is the experimental probability that a circuit board is defective? 2. Predict the number of defective circuit boards per month if the company manufactures 41,000 circuit boards in July. 205 defective circuit boards 12-2

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