Two events with nonzero probabilities can be both mutually exclusive and independent cannot be both mutually exclusi...
can be both mutually exclusive and independent
cannot be both mutually exclusive and independent
are always mutually exclusive
cannot be both mutually exclusive and independent and are always mutually exclusive
Homework Answers
"can be both mutually exclusive and independent"
This is false. If the two events are mutually exclusive, then they are not independent. Specifically, P(A|B)=0. If P(A)>0, then the two events are not independent.
"cannot be both mutually exclusive and independent" is correct for the above reason.
"are always mutually exclusive"
This is absurd.
"cannot be both mutually exclusive and independent and are always mutually exclusive"
Absurd.
Here's what I mean when I say that it's absurd to say that two events with positive probabilities are always mutually exclusive. There is a positive probability that I will go to school tomorrow. There is a positive probability that I will drink orange juice tonight. Those things are certainly not mutually exclusive. That is, I can do both. And the orange juice tastes quite nice.
Add Answer to:
Two events with nonzero probabilities can be both mutually exclusive and independent cannot be both mutually exclusi...
Explain when will two events be independent and when will two events be mutually exclusive. Can...
Explain when will two events be independent and when will two events be mutually exclusive. Can two mutually exclusive events be independent also? Can two independent events be mutually exclusive? Suppose the experiment is roll two dice. Consider events E= both numbers are even. F = both numbers are odd, Are E and F mutually exclusive? Are they independent? Consider events U and V. U= the first number is even, V= the second number is even. Are U and V mutually...
In parts (a) and (b), identify whether the events are mutually exclusive, independent, or neither (events...
In parts (a) and (b), identify whether the events are mutually exclusive, independent, or neither (events cannot be both mutually exclusive and independent). a) You and a randomly selected student from your class both earn A's in this course. neither independent mutually exclusive b) You and your class partner both earn A's in this course. neither mutually exclusive independent c) If two events can occur at the same time, they must be independent. false true
Question 13 (2 points) If two events are mutually exclusive, then their probabilities can be added...
Question 13 (2 points) If two events are mutually exclusive, then their probabilities can be added all of the choices are correct they may also be collectively exhaustive if one occurs, the other cannot occur the joint probability is equal to O Question 14 (1 point) The area under the normal distribution to the left of the mean is always 0.5 or 50 percent. True False
O PROBABILITY Probabilities involving two mutually exclusive events Events A and B are mutually exclusive. Suppose...
O PROBABILITY Probabilities involving two mutually exclusive events Events A and B are mutually exclusive. Suppose event A occurs with probability 0.03 and event B occurs with probability 0.02. a. Compute the probability that A does not occur or B does not occur (or both). b. Compute the probability that neither the event A nor the event B occurs. (If necessary, consult a list of formulas.) 6 2
. Events A and C are mutually exclusive, and Events A and B are independent. ?(?)...
. Events A and C are mutually exclusive, and Events A and B are independent. ?(?) = 0.1,?(?) = 0.3, and ?(?) = .45. Calculate the following probabilities: a. ?(? AND ?) b. ?(?|?) c. ?(? AND ?)
Two events, A and B, are mutually exclusive and each has a nonzero probability. If event...
Two events, A and B, are mutually exclusive and each has a nonzero probability. If event A is known to occur, the probability of the occurrence of event B is A.One B.Any positive value C.Zero D. Any value between 0 to 1 Suppose that the probability of event A is 0.2 and the probability of event B is 0.4. Also, suppose that the two events are independent. Then P(A∩B) is: a.P(A) = 0.2 b. P(A)/P(B) = 0.2/0.4 = 0.05 c....
“If two events are mutually exclusive, they must not be independent events.” Is this statement true...
“If two events are mutually exclusive, they must not be independent events.” Is this statement true or false? Explain your choice.
Discuss the concepts of mutually exclusive events and independent events. List two examples of each type...
Discuss the concepts of mutually exclusive events and independent events. List two examples of each type of event from everyday life.
Chapter 3 3.2 Independent and Mutually Exclusive Events 40. E and Fare mutually exclusive events. P(E)-0.4;...
Chapter 3 3.2 Independent and Mutually Exclusive Events 40. E and Fare mutually exclusive events. P(E)-0.4; P(F) 0.5. Find P(E1F) 41.J and Kare independent events. PUlK) 0.3. Find PC) 42. Uand V are mutually exclusive events. P(U) 0.26; P(V)-0.37. Find: a. P(U AND V)= 43.Q and R are independent events. PQ) 0.4 and P(Q AND R) 0.1. Find P 3.3 Two Basic Rules of Probability Use the following information to answer the next ten exercises Forty-eight perc Californians registered voters...
31. Assume that we have two events, A and B. that are mutually exclusive. Assume further...
31. Assume that we have two events, A and B. that are mutually exclusive. Assume further that we know P(A) 30 and P(B) a. What is P(A n B)? b. What is P(A I B)? c. 40. A student in statistics argues that the concepts of mutually exclusive events and inde- pendent events are really the same, and that if events are mutually exclusive they must be independent. Do you agree with this statement? Use the probability information in this...
In parts (a) and (b), identify whether the events are mutually exclusive, independent, or neither (events cannot be both mutually exclusive and independent). a) You and a randomly selected student from your class both earn A's in this course. neither independent mutually exclusive b) You and your class partner both earn A's in this course. neither mutually exclusive independent c) If two events can occur at the same time, they must be independent. false true
Question 13 (2 points) If two events are mutually exclusive, then their probabilities can be added all of the choices are correct they may also be collectively exhaustive if one occurs, the other cannot occur the joint probability is equal to O Question 14 (1 point) The area under the normal distribution to the left of the mean is always 0.5 or 50 percent. True False
O PROBABILITY Probabilities involving two mutually exclusive events Events A and B are mutually exclusive. Suppose event A occurs with probability 0.03 and event B occurs with probability 0.02. a. Compute the probability that A does not occur or B does not occur (or both). b. Compute the probability that neither the event A nor the event B occurs. (If necessary, consult a list of formulas.) 6 2
Chapter 3 3.2 Independent and Mutually Exclusive Events 40. E and Fare mutually exclusive events. P(E)-0.4; P(F) 0.5. Find P(E1F) 41.J and Kare independent events. PUlK) 0.3. Find PC) 42. Uand V are mutually exclusive events. P(U) 0.26; P(V)-0.37. Find: a. P(U AND V)= 43.Q and R are independent events. PQ) 0.4 and P(Q AND R) 0.1. Find P 3.3 Two Basic Rules of Probability Use the following information to answer the next ten exercises Forty-eight perc Californians registered voters...
31. Assume that we have two events, A and B. that are mutually exclusive. Assume further that we know P(A) 30 and P(B) a. What is P(A n B)? b. What is P(A I B)? c. 40. A student in statistics argues that the concepts of mutually exclusive events and inde- pendent events are really the same, and that if events are mutually exclusive they must be independent. Do you agree with this statement? Use the probability information in this...
Most questions answered within 3 hours.
-
DNA to Protein
Describe the mutation that created the HbS allele:
type of mutation, location of...
asked 3 minutes ago -
1a)When a 5000-kg roller coaster train full of riders approaches
the loading dock at a speed...
asked 4 minutes ago -
Which attribute allows you to specify a custom "thumbnail" for
multimedia elements?
asked 4 minutes ago -
USE THE FOLLOWING INFORMATION TO ANSWER THE NEXT (6)
QUESTIONS:
The following is a December 31,...
asked 6 minutes ago -
1. Why are the advantages and disadvantages of object-oriented
databases? 2. What are data marts? How...
asked 23 minutes ago -
A Porsche challenges a Honda to a 4.00×102m race. Because the
Porsche's acceleration of 3.30 m/s2...
asked 23 minutes ago -
A sample of C3H8 has 1.60×1024 H atoms.
How many carbon atoms does the sample contain?...
asked 1 hour ago -
How many unique codes are possibly formed from two characters,
where the first character can be...
asked 46 minutes ago -
A concentration cell is built based on the reaction:
2H+ + 2e- ----> H2
The pH...
asked 41 minutes ago -
what is the ph of the following solutions?
150 g NH4CI dissolved into 10.0 mL of...
asked 53 minutes ago -
A projectile is launched with an initial speed of 40 m/s at an
angle of 25°...
asked 35 minutes ago -
1. Using a function, display the customer who has the highest
credit limit. Display the customer...
asked 44 minutes ago