Question

Given the following information about events A, B, and C, determine which pairs of events, if...

Given the following information about events A, B, and C, determine which pairs of events, if any, are independent and which pairs are mutually exclusive.

P(A)=0.73

P(B)=0.08

P(C)=0.17

P(B|A)=0.73

P(C|B)=0.17

P(A|C)=0.17

Select all that apply:

  • A and C are mutually exclusive

  • A and B are independent

  • B and C are mutually exclusive

  • A and C are independent

  • A and B are mutually exclusive

  • B and C are independent

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Answer:

Given that:

Given the following information about events A, B, and C, determine which pairs of events, if any, are independent and which pairs are mutually exclusive.

P(A)=0.73, P(B)=0.08, P(C)=0.17

P(B|A)=0.73, P(C|B)=0.17, P(A|C)=0.17

S0,

Which implies A and B are mutually exclusive

Similarly

Which implies B and C are also mutually exclusive

Again

So,A and C are independent

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A given phenomenon has three events A,B, and C whose probabilities are given as 0.32, 0.23,...
A given phenomenon has three events A,B, and C whose probabilities are given as 0.32, 0.23, and 0.11 respectively a. What are the values of P(A and B), P(B and C), and P(C and A) if all three events A, B, and C are mutually exclusive b. What are the values of P(A and B), P(B and C), and P(C and A) if all three events A, B, and C are independent of one another c. What are the values...
Consider events A, B, and C, with P(A) > P(B) > P(C) > 0. Events A...
Consider events A, B, and C, with P(A) > P(B) > P(C) > 0. Events A and B are mutually exclusive and collectively exhaustive. Events A and C are independent. (a) Can events C and B be mutually exclusive? Explain your reasoning. (Hint: You might find it helpful to draw a Venn diagram.) (b)  Are events B and C independent? Explain your reasoning.
You are given the following information on Events A, B, C, and D. P(A) = .5...
You are given the following information on Events A, B, C, and D. P(A) = .5 P(B) = .3 P (C) = .20 P(A U D) = .8 P(A ∩ C) = 0.05 P (A │B) = 0.22 P (A ∩ D) = 0.25 Compute P(D). Compute P(A ∩ B). Compute P(A | C). Compute the probability of the complement of C. What does it mean to be mutually exclusive? Give an example. must show work
determine where events b and c are independent, mutually exclusive both or neither. P(B) = 0.56...
determine where events b and c are independent, mutually exclusive both or neither. P(B) = 0.56 P(B and C) =0.12 P(C)=0.23
Question 4 You are given the following information on Events A, B, C, and D. P(A)...
Question 4 You are given the following information on Events A, B, C, and D. P(A) = .5 P(B) = .3 P (C) = .20 P(A U D) = .8 P(A ∩ C) = 0.05 P (A │B) = 0.22 P (A ∩ D) = 0.25 Compute P(D). Compute P(A ∩ B). Compute P(A | C). Compute the probability of the complement of C. What does it mean to be mutually exclusive? Give an example.
Which of the following pairs of events are mutually exclusive? Question 3 options: a Drawing a...
Which of the following pairs of events are mutually exclusive? Question 3 options: a Drawing a face card or drawing a red card from a deck of cards b Spinning a prime number or spinning an even number on a spinner with eight sections numbered 1 to 8 c Passing this test and wearing socks d All of the above are mutually exclusive e None of the above are mutually exclusive
Question 7: The following information is given about events A and B: ??((?? ?? ? ??...
Question 7: The following information is given about events A and B: ??((?? ?? ? ?? ?? ) ?? ) = ??. ?? ??(?? ?? ? ??) = ??. ?? ??(??) = ??. ?? Based on this information, determine whether A and B are independent or dependent with respect to each other
3) Given the events A and B, and P (A) = 0.3, P (B) = .5...
3) Given the events A and B, and P (A) = 0.3, P (B) = .5 and P (A and B) = .1 Determine: a) P (A∪B) b) P (A∪Bc) c) P (A / B) Hint: make the Venn diagram 4) Given events A and B, and P (A) = 0.3, P (B) = .5 If the events are independent, determine: a) P (A∪B) b) P (A∩Bc) c) P ((A∩B) c) 5) If the events are mutually exclusive, determine: a)...
Which of the following statements is true? A. If A and B are independent events then,...
Which of the following statements is true? A. If A and B are independent events then, P (A or B) = P (A) + P (B) B. If A and B are mutually exclusive events then P (A / B) = 0, as long as P (B) is not equal to 0. C. If S = {all apartments for rent} and A = {all apartments for rent for less than $ 300 per month} then A '= {all apartments for...
Assume that we have two events, A and B , that are mutually exclusive. Assume further...
Assume that we have two events, A and B , that are mutually exclusive. Assume further that we know P(A) = 0.2 and P(B) = 0.8 . If an amount is zero, enter "0 ". A. What is P(A intersect B)? B. What is P(A|B)? C. 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 statement accurate?...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT