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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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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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

Topic Video

Question

LEARNING ACTIVITY
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.
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 equally
likely. What is the probability of each?
_9. On a true false test, what is the probability of answering a question
correctly if you make a random guess?
_10. On a multiple-choice test with five possible answers for each
question, what is the probability of answering a question correctly
if you make a random guess?
C. In page 6 of this lesson, we gave an example that included a list of the
eight 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 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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