will watch the British Open. Of those who watch the British Open, 78% watched the Master tournament. (a) Using M to denote the event "Watch the Masters" and B to denote the event "Watch the British Open", describe the probabilities given in the problem. (b) What is the probability that a randomly selected American watches both the Masters and the British Open? (c) What is the probability that a person watches the British Open if it is known that they

will watch the British Open. Of those who watch the British Open, 78% watched the Master tournament. (a) Using M to denote the event "Watch the Masters" and B to denote the event "Watch the British Open", describe the probabilities given in the problem. (b) What is the probability that a randomly selected American watches both the Masters and the British Open? (c) What is the probability that a person watches the British Open if it is known that they

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: A card is selected at random from a standard 52-card deck. (a) What is the probability that it is an…

Q: A local high school has both male and female students. Each student either plays a sport or doesn't.…

A: sport no sport total male 12 8 20 female 20 10 30 total 32 18 50

Q: 32% of college students say they use credit cards because of the rewards program. You randomly…

Q: 32% of adults say cashews are their favorite kind of nut. You randomly select 12 adults and ask…

Q: 39% of college students say they use credit cards because of the rewards program. You randomly…

Q: If you pick one card at random from a standard deck of cards, what is the probability it will be a…

A: There are 52 cards in a standard deck of cards There are 26 black cards and 2 cards of two, which…

Q: 42% of adults say cashews are their favorite kind of nut. You randomly select 12 adults and ask each…

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…

Q: Suppose 23% of the population are 63 or over, 29% of those 63 or over have loans, and 54% of…

A: Given: Let A be the event representing the population are 63 or over. Let A' be event representing…

Q: 26% of college students say they use credit cards because of the rewards program. You randomly…

A: Given info: Here, n=10, p=0.26.

Q: You randomly select 10 college students and ask each to name the e or she uses credit cards. Find…

A: Number of trail n=10Probability of success p=0.37X~Bin(n,p)

Q: there are 100 adults in an urban area who are surveyed. of the adults surveyed, 94 have a driver’s…

A: Given Information: Total number of adults surveyed is 100. 94 of them have a driver's license.

Q: When a certain type of thumbtack is tossed, the probability that it lands tip up is 50%. All…

A: Given that 2 thumbtracks are tossed Probability lands tip up is 50% Possible outcomes=UU,UD,DU,DD…

Q: The following is a statement about probability. The probabilities that a printer will make 0,…

A: From the provided information, The probability distribution table can be constructed as: x 0…

Q: 37% of adults say cashews are their favorite kind of nut. You randomly select 12 adults and ask…

A: Solution : Given that n = 12 and p = 0.37

Q: 27% of college students say they use credit cards because of the rewards program. You randomly…

A: Consider X be a random variable which follows binomial distribution indicating the number of…

Q: I need help making the tree diagram and understanding how to use it to find the probabilities

A: Note: " Since you have asked multiple questions, we will solve the first question for you. If you…

Q: dents say they use credit cards because of the rewards program. You randomly select 10 college…

A: This is the case of binomial, as there are only two possible outcomes which are independent and…

Q: 22% of college students say they use credit cards because of the rewards program. You randomly…

A: The question relates to the concept of probability distribution, which is a fundamental concept in…

Q: 22% of college students say they use credit cards because of the rewards program. You randomly…

A: n=10, p=0.22

Q: A group of students at a high school took a standardized test. The number of students who passed or…

A: Answer:- Given data table is, Passed Failed Total Male 52 4 56 Female 78 6 84 Total…

Q: (a) The probability that George wins two chess games in a row is (Round to four decimal places as…

A: Given the probability of George winning the game is 30%. And the outcome of each game is independent…

Q: Black or white? Your friend chooses his sartorial color scheme by putting all of his black and white…

A: Your friend chooses his sartorial color scheme by putting all of his black and white T-shirts in a…

Q: 24% of college students say they use credit cards because of the rewards program. You randomly…

A: Given Data: Let X represent the random variable n=10 p=0.24 X~ Binomial (10, 0.24)

Q: 34% of college students say they use credit cards because of the rewards program. You randomly…

A: The following information has been provided: The probability of success is p=0.34. The number of…

Q: 31% of adults say cashews are their favorite kind of nut. You randomly select 12 adults and ask…

A: (a) The probability that the number who say cashews are their favourite nut is exactly three is…

Q: 23%of college students say they use credit cards because of the rewards program. You randomly…

Concept explainers

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.

Question

**Problem 49: Probability of Watching Golf Tournaments**

It is estimated that 63% of Americans will watch the Masters golf tournament, and only 48% will watch the British Open. Of those who watch the British Open, 78% watched the Masters tournament.

**(a)** Using $ M $ to denote the event "Watch the Masters" and $ B $ to denote the event "Watch the British Open", describe the probabilities given in the problem.

**(b)** What is the probability that a randomly selected American watches both the Masters and the British Open?

**(c)** What is the probability that a person watches the British Open if it is known that they watched the Masters tournament?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Conditional Probability, Decision Trees, and Bayes' Theorem$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

A survey of athletes at a high school is conducted, and the following facts are discovered: 19% of the athletes are football players, 28% are basketball players, and 2% of the athletes play both football and basketball. An athlete is chosen at random from the high school: what is the probability that he is either a football player or a basketball player? Probability = % (Please enter your answer as a percentage)
I'm confused as to what distrubution I should use to solve this probability. When tall and colorful plants are crossed with short and colorless plants, four types of plants will result: tall and colorful, tall and colorless, short and colorful, and short and colorless with corresponding probabilities: 0.37, 0.42, 0.11, and 0.10. Ten plants are selected. Find the probability that 5 will be tall and colorful, 2 will be tall and colorless, 2 will be short and colorful, and 1 will be short and colorless.
26% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and ask each to name the reason he or she used credit cards. Find the probability that the number of college students who say they use credit cards because of the rewards program is (a) exactly two, (b) more than two, and (c) between two and five inclusive. If convenient, use technology to find the probabilities.
fifty five percent of US households say they would feel secure if they had $50000 in savings. You randomly select 8 household and I asked them if they would feel secure if they had $50,000 in savings. find the probability that the number that say they would feel secure is (a) exactly five, (b) more than five, and (c) at most five
In the game show “Deal or no Deal?”, a contestant must first choose 5 boxes out of 22 to be opened. Each box contains a different amount of money. Once a box has been opened, its contents can no longer be won. For each question, explain your reasoning carefully: (a) What is the probability that the contestant chooses the most valuable box? (b) What is the probability that the contestant chooses at least one of the top 5 most valuable boxes
It is estimated that 63% of Americans will watch the Masters golf tournament and only 48% will watch the British Open. Of those who watch the British Open, 78% watched the Masters tournament. a. Using M to denote the event "Watch the Masters" and B to denote the event "Watch the British Open", describe the probabilities given the problem e. Are watching the Masters and watching the British Open independent events? Explain using probabilities f. Are watching the Masters and watching the British Open disjoint events? Explain using probabilities.
29% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and ask each to name the reason he or she uses credit cards. Find the probability that the number of college students who say they use credit cards because of the rewards program is (a) exactly two, (b) more than two, and (c) between two and five inclusive. If convenient, use technology to find the probabilities. (a) P(2)=(Round to the nearest thousandth as needed.) (b) P(x> 2)= (Round to the nearest thousandth as needed.) %3D (c) P(2sxs5)= (Round to the nearest thousandth as needed.)
24% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and ask each to name the reason he or she uses credit cards. Find the probability that the number of college students who say they use credit cards because of the rewards program is (a) exactly two, (b) more than two, and (c) between two and five inclusive. If convenient, use technology to find the probabilities.
38% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and ask each to name the reason he or she uses credit cards. Find the probability that the number of college students who say they use credit cards because of the rewards program is (a) exactly two, (b) more than two, and (c) between two and five inclusive. If convenient, use technology to find the probabilities. (a) P(2) = (Round to the nearest thousandth as needed.) (b) P(x>2) = (Round to the nearest thousandth as needed.) (c) P(2sxs5)= (Round to the nearest thousandth as needed.) PDF ofessional Ref.pdf Enter your answer in each of the answer boxes. O Search Textbook So.. 9 Take a Test - Micha.