(b) Tiffany obtained data about the gross domestic product (GDP) and the birth ratefor 170 countries. She classified each GDP and each birth rate as either "low","medium" or "high". There were 74 countries that had a medium GDP and 43countries that had a high GDP. Among the countries that have 58 low birth rate,there were 3 countries that have a low GDP and 20 countries that have a mediumGDP, whereas among the countries that have high birth rate, there were 45countries that have a low GDP, 12 countries have a medium GDP and no countryhas a high GDP.i. Construct a contingency table to represent the information above.One of these countries is chosen at random. Find the probability thatThe country chosen has a low GDP or a medium birth rate.ii.iii.The country chosen has a low birth rate, given that it does not have a mediumGDP.iv. States with a reason whether or not the events 'the country chosen has amedium GDP' and 'the country chosen has a medium birth rate' areindependent.

Tiffany obtained data about the gross domestic product (GDP) and the birth rate for 170 countries.…

Answered: i. Construct a contingency table to…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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B. Answer what is asked from each number using proper probability notation and units wherever possible.6. The researchers would like to conclude that the adult community is hesitant to the COVID 19 vaccination if 87% of the adult community received at most of 1 vaccination shot. Is the adult community hesitant to the COVID 19 vaccination?
d. Find the probability of matching three of the four winning numbers. (ROUND YOUR ANSWER TO 8 DECIMAL PLACES.)
4. A geological study indicates that an exploratory oil well should strike oil with probability of 0.2. What is the probability that A. the first strike comes on the third well drilled? B. the third strike comes on the seventh well drilled? C. What assumptions did you make to obtain the answers to parts A and B? D. Find the mean and variant of the number of wells that must be drilled if the company wants to set up three producing wells.
There are 500 engineers who are working. The table provides some data of their employment status. Show your solving solution. a. What is the probability that the engineer is employed in Manila and in a construction firm? b. What is the probability that the engineer is employed in North Luzon and in a communication firm? c. What is the probability of an engineer is working in Region IV? d. What is the probability of an engineer is in manufacturing industry?
7. Eighty percent of new car buyers choose automatic transmissions. For a group of 10new car buyers, find the probability thata.exactly 7 choose an automatic transmission.b. at most 6 choose an automatic transmission.C.more than 5 choose an automatic transmission.d. How many buyers do you expect to select automatic transmissions?
v. PRACTICE EXERCISES/ACTIVITIES Problem Solving: Find the probability of the following: 1. Two dice are thrown together. What is the probability that the number obtained on one of the dice is multiple of number obtained on the other dice? 2. A coin is thrown 3 times .what is the probability that atleast one head is obtained? 3. Find the probability of getting a numbered card when a card is drawn from the pack of 52 cards. 4. There are 5 green 7 red balls. Two balls are selected one by one without replacement. Find the probability that first is green and second is red. 5. Two cards are drawn from the pack of 52 cards. Find the probability that both are diamonds or both are kings. Solve this Problem
2. Employees of a company were asked to rate the nation's economy and their political party. TTT Republican Democrat Independent 2. 23 26 18 Excellent Good Not So Good 11 28 3 Poor 9. a. Find the probability an employee said good. b. Find the probability an employee said the Green party. c. Find the probability an employee said Republican and excellent d. Find the probability an employee said Independent or not so good. e. Find the probability an employee said excellent or poor. f. Find the probability a Democrat employee said good.
committee of five to study transportation issues will be randomly selected. a. If one person on the council is chosen at random to draw the names out of a hat, what is the probability that the person drawing the names is a Democrat? b. How many ways can the committee be formed if there are no restrictions on composition? C. How many ways can 3 Republicans be chosen? 23. A city council consists of ten members. Four are Democrats and six are Republicans. A d. How many ways can 2 Democrats be chosen? e. What is the probability that the random selection of the five-person committee will result in 3 Republicans and 2 Democrats?
Please see attachments below. I need the correct answer for (c) and (d).
A club has a membership of 6 freshmen, 2 sophomores, 3 juniors and 4 seniors. A committee of 4 is chosen. Find each as a fraction or a decimal rounded to 2 decimal places. a. What is the probability that the committee consists of all freshmen? b. What is the probability that the committee consists of 2 juniors and 2 seniors? c. What is the probability that the committee consists of all sophomores?
7.) The Pew Internet and American Life Project reported in 2004 that 55% of current music downloaders say they are using paid services. Consider a random sample of 18 music downloaders.a.) Find the probability that the sample contains 15 music downloaders who are usingpaid services using the formula.b.) Find the probability that the sample contains 10 or fewer music downloaders who areusing paid services using the calculator.c.) Find the probability that the sample contains 9 or more music downloaders who areusing paid services using the calculator.d.) Find the probability that the sample contains between 8 and 15, inclusive, musicdownloaders who are using paid services using the calculator.e.) Find the mean number of music downloaders who are using paid services.f.) Find the standard deviation of music downloaders who are using paid services.
8. Three students, Esther, Jean and Ruth are in a race. Esther is twice as likely to win as Jean, and Jean is trice as likely to win as Ruth. Find the probability that a. Esther wins b. Jean wins c. Esther or Jean wins d. Esther or Ruth wins e. Jean or Ruth wins

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i. Construct a contingency table to represent the information above. One of these countries is chosen at random. Find the probability that The country chosen has a low GDP or a medium birth rate. ii. The country chosen has a low birth rate, given that it does not have a medium GDP.