Q50 (c) Are A and B independent events? Explain why or why not using probabilities.(d) Are A and B disjoint events? Explain why or why not using probabilities.48. Can two events A and B be independent of one another and disjoint? Explain what conditionsare needed for this to happen.will watch the British Open. Of those who watch the British Open, 78% watched the Masterstournament.49. It is estimated that 63% of Americans will watch the Masters golf tournament and only 48%0(a) Using M to denote the event "Watch the Masters" and B to denote the event "Watch theBritish Open", describe the probabilities given in the problem.(b) What is the probability that a randomly selected American watches both the Masters andthe British Open?(c) What is the probability that a person watches the British Open if it is known that theywatched the Masters tournament?(d) What is the probability that a person does not watch the British Open?(e) Are watching the Masters and watching the British Open independent events? Explainusing probabilities.(f) Are watching the Masters and watching the British Open disjoint events? Explain usingprobabilities.50. Explain the difference between independent events and disjoint events using probabilities andsimple examples.51. The Pew Research Center finds that the demographic make-up of political parties is changingdrastically through the election cycles. Consider the following summary of education levels amongparty lines.Democrat RepublicanTotal373168College DegreeNo College Degree6369132Total100100200(a) What is the probability a randomly selected participant has a college degree?(b) What is the probability that a randomly selected participant is a democrat?(c) What is the probability that a randomly selected participant is a democrat and has a collegedegree?(d) Of those who have college degrees, what is the probability of being a democrat?(e) What is the probability of begin a democrat or having a college degree?(f) Are having a college degree and being a democrat disjoint events?(g) Are having a college degree and being a democrat independent events?

When the occurrences of two or more events does not depend on each other then they are said to be…

Answered: . Explain the difference between…

Math

Statistics

. Explain the difference between independent events and disjoint events using probabilities and simple examples.

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: In rolling 2 dice, a. what is the probability of an event of getting a sum of 8 and 9? b. what is…

A: We have given that two dice are rolling then the total possible outcomes are 36. The sample space S…

Q: Suppose A and B are two events with P (A) = 0.36, P(B) = 0.48, and the P(A or B) = 0.60. d. Are A…

A: Here P (A) =0.36, P(B) =0.48. If A and B are disjoint events, P (A and B) =0.

Q: What does it mean for three events to be mutually exclusive?

A: Mutually exclusive events Three events are said to be mutually exclusive if they have no element in…

Q: Compute the probability of an event E if the odds in favor of E are 2/5.

A: Odds of an event:The odds an event is given by the ratio of the probability of the event to its…

Q: The Venn diagram below shows the probabilities of grade 10 students joining either basketball or…

Q: What is the Probability that a student is not taking either class?

A: From the given Venn diagram, it is observed that the number of students who are taking art only is…

Q: Are the events "Rural" and "West" mutually exclusíve? Explain. (Type your answer in the box below.)

A: Two events A and B are said to be mutually exclusive if both the events cannot happen at the sample…

Q: FA and Bare mutually exclusilve events then,

A: If A and B are mutually exclusive then:

Q: What is the sum of the probabilities in any probability distribution?

A: The sum of all probabilities in any probability distribution is always 1. Generally, probability…

Q: Determine whether each of the following statements is true or false, and explain why.The probability…

A: Given: The probability of two independent events can be foundby…

Q: what does it mean when two events are disjoint? what does it mean two events are complements?

A: Disjoint events:Two events A and B are said to be disjoint, if the probability of them both…

Q: A fair is tossed three times. What is the probability that you will get at most two heads?

A: GivenA fair coin is tossed three timesSample space is given byS =…

Q: How would you describe the following events, of randomly drawing a RED card OR a card with a NUMBER?

A: When the occurrence of 1 event has no effect on the occurrence of the second event, the events are…

Q: A small choir has a tenor singer, 3 soprano singers, a baritone singer, and a mezzo-soprano singer.…

A: It is given that the small choir has 1 tenor singer, 3 soprano singers, 1 baritone singer and 1…

Q: If a class has 8 freshmen, 5 sophomores, 4 juniors, and 2 seniors, what is the probabilitythat three…

A: Given: 8 freshmen 5 sophomores 4 juniors 2 seniors Total = 8+5+4+2=19

Q: How would you explain the difference between mutually exclusive and independent events?

A: Consider an experiment of tossing two coins, Then the sample space is Ω = { HH, HT, TH, TT…

Q: If Timothy rolled a pair of dice, what is the probability that both would be "5"?

Q: Are these dependent or independent events? (b) what is the probability that both are black in…

A: Gabriel has 4 black socks, 6 red socks and 2 blue socks in his drawer. total socks = 12 If he…

Q: Explain differences between Independent Events and Mutually Exclusive Events.

A: Random Experiment: An experiment whose results are dependent on chance and cannot be predicted in…

Q: Next Question Classity the events as dependent or independent. Events A and B where P(A)=0.8,…

Q: Find the conditional probability of the indicated event when two fair dice (one red and one green)…

Q: Caleb has a four-sided die, a six-sided die, and a 12-sided die. He rolls the three dice and adds up…

A: Given data: The number of the four-sided dies is a=1. The number of the six-sided dies is b=1. The…

Q: Explain why an event and its complement are always mutually exclusive and exhaustive.

A: Mutually exclusive eventsTwo or more events are said to be mutually exclusive if they have no…

Q: The probability of an event that is certain to not occur is

A: The objective is know the probability of an event that is certain to not occur.

Q: What is the probability of being dealt a pair of aces in a five-card hand ?

A: In theoretical approach, if an experiment has n simple outcomes, this method would assign a…

Q: If you randomly select a letter from the phrase "I like to swim at the recreation pavilion," what is…

A: Here the given phrase is , "I like to swim at the recreation pavilion". Total number of letters in…

Q: In probability, when two events do not influence each other, they are called ?

A: In probability, when two events do not influence each other, they are called ?

Q: 5) The odds in favor of Jack passing Math is 7:2. The odds in favor of Alex passing Biology is 11:4.…

Q: What is the difference between indepedent events and dependent events probabilities? Give examples.

A: Introduction:Consider two events, A and B.Independent Events:The events A and B are said to be…

Q: What is the probability of a dice showing a 2 or 5?

A: A dice is rolled.

Q: If A and B are events in the same sample space, then how will you get the probability of A or B…

A: If A and B are events in the same sample space, the probability of A or B occurring is…

Q: Explain the difference between independent events and disjoint events using probabilities and simple…

A: Two outcomes are said to be independent if the probability of outcomes of one event does not affect…

Q: How might the occurrence of one event in your life or career impact the probabilities of another…

Q: If two events are independent, what is the probability that they both occur? O 0.5 O 1.00 Cannot be…

A: Introduction: Consider two events, A and B. Independent Events: The events A and B are said to be…

Q: Describe about the Alternative Approach to Conditional Probabilities?

A: Conditional probability is defined as the probability of occurrence of an event given that another…

Q: In an experiment, the probability that event A Occurs is and the probability that event B 6 occurs…

Q: What does it mean for two or more events to be mutually exclusive?

A: Mutually exclusive eventsTwo events are said to be mutually exclusive if they have no element in…

Q: What does it mean for two events to be mutually exclusive?

A: Solution: We have to determine what does it mean for two events to be mutually exclusive.

Q: What is the probability of randomly picking a 11 or 5 in one draw from a deck of ordinary playing…

Q: suppose you roll a pair of fair 6 sided dices what is the probability that one of the rolls is an…

A: If two 6 sided dice are rolled then sample space is given by-…

Q: Tom has a standard set of pool balls. If he were to draw one ball at random, what is the…

Q: Please compute the following probabilities: a) Prob(F,E,C,D, ¬A, ¬B) b) Prob(F,E, ¬C,D, A, ¬B) c)…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: If two events are complimentary what is the probability of P(A and B) ?

Q: Describe in a short paragraph the relationship between independent events and mutually exclusive…

A: Independent events: Two or more events are said to be independent if occurrence of one does not…

Q: Are the events A and B mutually exclusive or not?

A: A={even number}={28} B={multiple of 3}={15, 21, 33}

Q: Refer to Table 1. Let F denote the event that the student intends to attend classes full-time in…

A: It is given that F denotes the event that the student intends to attend classes full-time in pursuit…

Q: What is the relationship between two events if the conditional probability is equal to the…

A: Given if P(A|B) = P(A)

Q: 4. Suppose you toss a coin and draw a card from a standard deck. Are these events independent or…

A: Two events are defined as A : tossing a coin B : drawing a card from standard deck.

Q: If two events are mutually exclusive why is P(A and B)=0?

A: Mutually exclusive is a statistical term describing two or more events that cannot happen…

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Q50

(c) Are A and B independent events? Explain why or why not using probabilities.
(d) Are A and B disjoint events? Explain why or why not using probabilities.
48. Can two events A and B be independent of one another and disjoint? Explain what conditions
are needed for this to happen.
will watch the British Open. Of those who watch the British Open, 78% watched the Masters
tournament.
49. It is estimated that 63% of Americans will watch the Masters golf tournament and only 48%0
(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?
(d) What is the probability that a person does not watch the British Open?
(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.
50. Explain the difference between independent events and disjoint events using probabilities and
simple examples.
51. The Pew Research Center finds that the demographic make-up of political parties is changing
drastically through the election cycles. Consider the following summary of education levels among
party lines.
Democrat Republican
Total
37
31
68
College Degree
No College Degree
63
69
132
Total
100
100
200
(a) What is the probability a randomly selected participant has a college degree?
(b) What is the probability that a randomly selected participant is a democrat?
(c) What is the probability that a randomly selected participant is a democrat and has a college
degree?
(d) Of those who have college degrees, what is the probability of being a democrat?
(e) What is the probability of begin a democrat or having a college degree?
(f) Are having a college degree and being a democrat disjoint events?
(g) Are having a college degree and being a democrat independent events?

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

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.

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc