MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Please answer this, Thank you! Note: Page six(6) that are mentioned in the question D can be found in the 2nd photo.
D. Page 6 of this lesson included a table summarizing the gender outcomes for a couple planning to have three children. _13. Construct a similar table for a couple planning to have two children. _14. Assuming that the outcomes listed are equally likely, find the probability of getting two girls. 15. Find the probability of getting exactly one child of each gender.
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Transcribed Image Text:D. Page 6 of this lesson included a table summarizing the gender outcomes for a couple planning to have three children. _13. Construct a similar table for a couple planning to have two children. _14. Assuming that the outcomes listed are equally likely, find the probability of getting two girls. 15. Find the probability of getting exactly one child of each gender.
EXAMPLE: On an ACT or SAT test, a typical question has 5 possible answers. If an examinee makes random guess on one such question, what is the probability that the response is wrong? SOLUTION: There are 5 possible outcomes or answers, and there are 4 ways to answer incorrectly. Random guessing implies that the outcomes are equally likely, so we apply the classical approach to get 4 P(wrong answer) = = = 0.8 EXAMPLE: Find the probability that when a couple has 3 children, they will have exactly 2 boys. Assume that boys and girls are equally likely and that the gender of any child is not influenced by the gender of any other child. SOLUTION: The biggest obstacle here is correctly identifying the sample space. It involves more than working only with the numbers 2 and 3 that were given in the statement of the problem. The sample space consists of 8 different ways that 3 children can occur, and we list them in the margin. Those 8 outcomes are equally likely, so we use Rule 2. Of those 8 different possible outcomes, 3 correspond to exactly 2 boys, so 1st 2nd 3rd boy-boy-boy boy-boy-girl eхаctly + boy-girl-boy 2 boys boy-girl-girl girl-boy-boy girl-boy-girl girl-girl-boy girl-girl-girl P(2 boys in 3 births) = 3 = 0.375 INTERPRETATION: There is a 0.375 probability that if a couple has 3 children, exactly 2 will be boys.
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Transcribed Image Text:EXAMPLE: On an ACT or SAT test, a typical question has 5 possible answers. If an examinee makes random guess on one such question, what is the probability that the response is wrong? SOLUTION: There are 5 possible outcomes or answers, and there are 4 ways to answer incorrectly. Random guessing implies that the outcomes are equally likely, so we apply the classical approach to get 4 P(wrong answer) = = = 0.8 EXAMPLE: Find the probability that when a couple has 3 children, they will have exactly 2 boys. Assume that boys and girls are equally likely and that the gender of any child is not influenced by the gender of any other child. SOLUTION: The biggest obstacle here is correctly identifying the sample space. It involves more than working only with the numbers 2 and 3 that were given in the statement of the problem. The sample space consists of 8 different ways that 3 children can occur, and we list them in the margin. Those 8 outcomes are equally likely, so we use Rule 2. Of those 8 different possible outcomes, 3 correspond to exactly 2 boys, so 1st 2nd 3rd boy-boy-boy boy-boy-girl eхаctly + boy-girl-boy 2 boys boy-girl-girl girl-boy-boy girl-boy-girl girl-girl-boy girl-girl-girl P(2 boys in 3 births) = 3 = 0.375 INTERPRETATION: There is a 0.375 probability that if a couple has 3 children, exactly 2 will be boys.
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