LEARNING ACTIVITYA. Express the indicated degree of likelihood as a probability value._1. You have a 50-50 chance of choosing the correct road._2. There is a 20% chance of rain tomorrow._3. You have a snowball's chance in hell of marrying my daughter._4. There is a 90% chance of snow tomorrow.5. You have one chance in ten of being correct.B. Identify the probability values._6. What is the probability of an event that is certain to occur?_7. What is the probability of an impossible event?_8. A sample space consists of 10 separate events that are equallylikely. What is the probability of each?_9. On a true false test, what is the probability of answering a questioncorrectly if you make a random guess?_10. On a multiple-choice test with five possible answers for eachquestion, what is the probability of answering a question correctlyif you make a random guess?C. In page 6 of this lesson, we gave an example that included a list of theeight outcomes that are possible when a couple has three children.Refer to that list, and find the probability of each event._11. Among three children, there is exactly one girl._12. Among three children, there are exactly two girls.D. Page 6 of this lesson included a table summarizing the gender outcomesfor a couple planning to have three children._13. Construct a similar table for a couple planning to have twochildren._14. Assuming that the outcomes listed are equally likely, find theprobability 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 anexaminee makes random guess on one such question, what is the probabilitythat the response is wrong?SOLUTION:There are 5 possible outcomes or answers, and there are 4 ways to answerincorrectly. Random guessing implies that the outcomes are equally likely,so we apply the classical approach to get4= 0.85P(wrong answer) =EXAMPLE:Find the probability that when a couple has 3 children, they will haveexactly 2 boys. Assume that boys and girls are equally likely and that thegender of any child is not influenced by the gender of any other child.SOLUTION:The biggest obstacle here is correctly identifying the sample space. Itinvolves more than working only with the numbers 2 and 3 that were givenin the statement of the problem. The sample space consists of 8 differentways that 3 children can occur, and we list them in the margin. Those 8outcomes are equally likely, so we use Rule 2. Of those 8 different possibleoutcomes, 3 correspond to exactly 2 boys, so1st 2nd 3rdboy-boy-boyboy-boy-girlехаctlyboy-girl-boy2 boysboy-girl-girl4 girl-boy-boygirl-boy-girlgirl-girl-boygirl-girl-girlP(2 boys in 3 births) == 0.375INTERPRETATION: There is a 0.375 probability that if a couple has 3children, exactly 2 will be boys.

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Math

Statistics

A. Express the indicated degree of likelihood as a probability value. _1. You have a 50-50 chance of choosing the correct road. _2. There is a 20% chance of rain tomorrow. 3. You have a snowball's chance in hell of marrying my daughter. _4. There is a 90% chance of snow tomorrow. _5. You have one chance in ten of being correct.

A. Express the indicated degree of likelihood as a probability value. _1. You have a 50-50 chance of choosing the correct road. _2. There is a 20% chance of rain tomorrow. 3. You have a snowball's chance in hell of marrying my daughter. _4. There is a 90% chance of snow tomorrow. _5. You have one chance in ten of being correct.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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