“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.
Homework Answers
This statement is false. Since the two events are mutually exclusive, it means that they cannot occur at the same time, that is, their occurence is independent of each other. This means that mutually exclusive events are by default independent events. For example, in a coin toss, the two events "heads" and "tails" are both mutually exclusive and independent.
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“If two events are mutually exclusive, they must not be
independent events.” Is this statement true...
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
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...
Assume that we have two events, A and B, that are mutually exclusive. Assume further that...
Assume that we have two events, A and B, that
are mutually exclusive. Assume further that we know
P(A) = 0.30 and P(B) =0.40.
What is P(A B)?
What is P(A | B)?
Is P(A | B) equal to P(A)?
Are events A and B dependent or
independent?
A student in statistics argues that the concepts of mutually
exclusive events and independent events are really the same, and
that if events are mutually exclusive they must be independent. Is
this...
Assume that we have two events, A and B, that are mutually exclusive. Assume further that...
Assume that we have two events, A and B, that are mutually
exclusive. Assume further that we know P(A)= 0.30 and P(B)=
0.40.
Assume that we have two events, A and Br that are mutually exclusive. Assume further that we know P(A) 0.30 and PCB 0.40 If an amount is zero, enter "0". a. What is P(An B)? b. what is p(AIB? C. Is AIB) equal to A)? Are events A and B dependent or independent? d. A student in...
Two events with nonzero probabilities can be both mutually exclusive and independent cannot be both mutually exclusi...
Two events with nonzero probabilities 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
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...
describe real-life events that are: Complementary Mutually exclusive. Not mutually exclusive. Independent. Dependent. For each of...
describe real-life events that are: Complementary Mutually exclusive. Not mutually exclusive. Independent. Dependent. For each of the examples, you provide briefly explain how you know they are that type of event.
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...
. 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 ?)
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
Assume that we have two events, A and B, that
are mutually exclusive. Assume further that we know
P(A) = 0.30 and P(B) =0.40.
What is P(A B)?
What is P(A | B)?
Is P(A | B) equal to P(A)?
Are events A and B dependent or
independent?
A student in statistics argues that the concepts of mutually
exclusive events and independent events are really the same, and
that if events are mutually exclusive they must be independent. Is
this...
Assume that we have two events, A and B, that are mutually
exclusive. Assume further that we know P(A)= 0.30 and P(B)=
0.40.
Assume that we have two events, A and Br that are mutually exclusive. Assume further that we know P(A) 0.30 and PCB 0.40 If an amount is zero, enter "0". a. What is P(An B)? b. what is p(AIB? C. Is AIB) equal to A)? Are events A and B dependent or independent? d. A student in...
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...
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...
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