HomeworkLib
Question

9. (3 pts) Suppose the events A and B have the property that P(B) = 0:5...

9. (3 pts) Suppose the events A and B have the property that P(B) = 0:5 and P(A and B) = 0:25. Find the conditional probability that A will occur if it is known that B has occurred, P(AjB). Show the formula you use or the calculation you do, as well as your final answer.

math   Statistics-And-Probability   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

0 0
Add a comment
Know the answer?
Add Answer to:
9. (3 pts) Suppose the events A and B have the property that P(B) = 0:5...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • Suppose the events A and B have the property that P(B) = 0.5 and P(A and...

    Suppose the events A and B have the property that P(B) = 0.5 and P(A and B) = 0.25. Find the conditional probability that A will occur if it is known that B has occurred, P(A|B). Show the formula you use or the calculation you do, as well as your answer.

  • 1. (2 pts) If A and B are events, where P(B) > 0, then show that P(A' |B) 1- P(A | B) Hint: Use the definition o...

    1. (2 pts) If A and B are events, where P(B) > 0, then show that P(A' |B) 1- P(A | B) Hint: Use the definition of conditional probability to show that P(A | B) P(A' | B) 1. derived the Law of Total Probability (the simple case) Take a look at how we 4. (2 pts) At the beginning of the week, George made seven sandwiches: three turkey sandwiches two ham sandwiches, and two roast beef sandwiches. Each day,...

  • Suppose the events A and B are independent. Suppose that P (A) =0 .12 and P...

    Suppose the events A and B are independent. Suppose that P (A) =0 .12 and P (B) =0 .07. What is the probability that only event A occurs?

  • Assume that A and B are events in a probability space with the property that P(A)...

    Assume that A and B are events in a probability space with the property that P(A) = 0.5, P(B) = 0.6, and P(A ∪ B) = 0.9. 1. Explain why A and B cannot be independent. 2. Is A favorable or unfavorable to B? (Remember that an event E is said to be favorable to F if P(F|E) > P(F); that is, if the knowledge that E occurred increases the plausibility of F.)

  • Suppose A and B are events in a sample space Ω. Let P(A) = 0.4, P(B)...

    Suppose A and B are events in a sample space Ω. Let P(A) = 0.4, P(B) = 0.5 and P(A∩B) = 0.3. Express each of the following events in set notation and find the probability of each event: a) A or B occurs b) A occurs but B does not occur c) At most one of these events occurs

  • Find the probabilities P(A), P(B), PAn B), PC), P D), PIAnD). Problem 3. Show the formula...

    Find the probabilities P(A), P(B), PAn B), PC), P D), PIAnD). Problem 3. Show the formula which gives the probability that exactly one of the events A and B will occur. [Compare with the forinula P(A U B) = P(A) + P (B)-P(An B), which gives the probability that at least one of the events A and B will occur.]

  • Suppose that A and B are mutually exclusive events. Complete parts (a) and (b) below a....

    Suppose that A and B are mutually exclusive events. Complete parts (a) and (b) below a. Use the special addition rule to express PiA or B) in terms of PIA) and P(B) Complete the equation below P(A or B) b. Show that the general addition rule gives the same answer as that in part (a) Select the correct answer below. O A. Since A and B are mutually exclusive events, then the probability that both A and Boccur is a...

  • Problem 3. Show the formula P((An B)U(A n B))- P(A) +P(B)-2P(AnB), which givgs the probability that...

    Problem 3. Show the formula P((An B)U(A n B))- P(A) +P(B)-2P(AnB), which givgs the probability that exactly one of the events A and B will occur. [Compare with the formula P(AU B) P(A) P(B) - P(AnB), which gives the probability that at least one of the events A and B will occur.]

  • 3. If PA)-03, P(B) 0.2, P(A and B)-a06, what can be said about events A and...

    3. If PA)-03, P(B) 0.2, P(A and B)-a06, what can be said about events A and B ? A) They are independent. B) They are mutually exclusive. C) They are posterior probabilities. D) None of the above E) All of the above 4. "The probability of event B, given that event A has occurred" is known as a probability A) continuous B) marginal C) simple D) joint E) conditional 5. The expected value of a probability distribution is A. the...

  • 7. If A and B are independent events, then P(A and B) equals a. b. c....

    7. If A and B are independent events, then P(A and B) equals a. b. c. P(A) + P(B/A). P(A) x P(B). P(A) +P(B). d. P(A/B) +P(B/A) 8.Which formula represents the probability of the complement of event A? b. 1-P(A) c. P(A d. P(A)-1 9. The simultaneous occurrence of two events is called a. prior probability b. subjective probability c. conditional probability d. joint probability 10. If the probability of an event is 0.3, that means the event has a...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT