hich of these scenarios describes twodependent events:Pick a card, then pick another card from the same deck.Pick a card, then pick another card from a different declD a.Scenario 2O b. Both scenariosD c.Neither scenarioO d. Scenario 1 You flip a coin. If you get heads you win $5, ifyou get tails you lose $3 dollars. What is theexpected payoff of one flip?а.1O b. -2С.-1O d. 2

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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12. Give the equations that represent each situation. For Independent Events: P(AN B) = P(AU B) =, For Mutually Exclusive Events: P(AN B) = P(AU B) = For Dependent Events: P(AN B) = P(A U B) =
16. Given that two events A and B are mutually exclusive, P(An B) is: a. b. C. d. 17. At a pet store you can choose between 6 fish species, 2 mini frog species, and 4 plant species. You want your tank to contain one fish, one frog, and one plant. How many different setups are possible for your tank? a. 12 b. 48 C. 3 d. 0 0.50 1 None of these a. b. 18. A set of data is normally distributed with a mean of 7 and a standard deviation of 2.5. Calculate the z- score for the data value x = 5: C. d. 122 0.80 -0.80 0.90 -0.90
Consider two random events A and B. Event Ac is the complement of event A, and Bc is the complement of B. P(A) =0.64. P(B) = 0.3, and P(A and B) =0.192. Then we can say that the two events A and B are
Determine if events A and B are independent. 7 P(A and B) 20 7 13 P(B) : 20 13 P(A and B) 20 169 4) = P(B) = 2) P(A) = 100 400 7 3) Р(A) %—D 10 P(B) = 5 21 1 P(B) 1 P(A and B) 5 1 P(A and B) 4) Р(A) — 100 25
In a soon to be released Halloween martial arts movie, a pumpkin has a starring role. Because of the rather violent nature of the film, the producers have also hired a stunt pumpkin. Suppose the featured pumpkin appears in 40% of all the film scenes, the stunt pumpkin appears in 30% of the film scenes and the two appear simultaneously in 5% of the scenes. Draw the Venn diagram to reflect information given in the problem. Are the events the stunt pumpkin appearing in a scene and the featured pumpkin appearing in a scene mutually exclusive (disjoint)? Explain how you know. Are the events the stunt pumpkin appearing in a scene and the featured pumpkin appearing in a scene independent? Explain how you know. What is the probability that in a given scene that only the stunt pumpkin appears? You have three events A, B, & C. Suppose: Event A is the event of drawing a king from a deck of 52 cards on the first draw. Event B is the probability of drawing a queen of hearts on the…
Suppose that events A and B are disjoint (mutually exclusive). Further, suppose P(A)=0.5P(A)=0.5 and P(B)=0.5P(B)=0.5. Then P(A∩BP(A∩B) equals Select one: a. 0.75 b. 1 c. 0 d. 0.25
Thirty-five percent of the cars in Israel are new. Out of the new cars, 60% are white. Overall, 45% of the cars in Israel are white. If event A is “New” and event B is “White”, which of the following is correct? a. There is not enough data to answer the question. b. Events A and B are dependent. c. Events A and B are independent d. Event A and B are mutually exclusive.
In the city of Savannah, Georgia, 22% of young couples take wedding pictures along the Riverwalk (R), and 42% of young couples take wedding pictures in one of the many historical squares (S) throughout the city. However, only 14% of young couples take wedding pictures along the Riverwalk and in the squares. Are these two events independent of each other? Include the reason why or why not. A. The events aren't independent, because P(R) × P(S) ≠ P(P and S). B. The events are independent, because P(R) × P(S) ≠ P(P and S). C. The events aren't independent, because P(R) × P(S) = P(P and S). D. The events are independent, because P(R) × P(S) = P(P and S)
Given P(A and B) = 0.30, P(A) = 0.93, and P(B) = 0.32 are events A and B independent or dependent? Question 7 options: 1) Dependent 2) Independent
Part I: Sections 1.1 - 1.5 2. Assume that 11 cards are randomly selected from a stan- dard 52-card deck, without replacement.. What is the probability of ob- taining exactly 5 cards of one suit, exactly 3 cards of another distinct suit, and exactly 3 cards of a third distinct suit?
3. All of the morning math classes are filled & Lisa has a decision to take either Mrs. Fowler or Mr. Williams in the afternoon, what is the probability of Lisa taking a Mrs. Fowler or Mr. Williams in the afternoon? 4. Lisa's school counselor informs her all of Mrs. Fowlers classes are filled. The school adds another teacher Mrs. Jackson. She will teach (1ª, 3rd, 5th, and 6th). What is now the probability of getting Mrs. Jackson for math in the morning?

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hich of these scenarios describes two dependent events: Pick a card, then pick another card from the same deck. Pick a card, then pick another card from a different decl D a. Scenario 2 O b. Both scenarios O C. Neither scenario O d. Scenario 1