If two events are mutually exclusive, then the following is true:a. They cannot be mutually exclusive.b. The events may occur concurrently.c. They could also be complementary.d. They are independent.

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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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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
If event (A) is receiving a bachelor’s degree and event (B) is receiving a PhD then events A and B are necessarily: a. None of the above b. Mutually exclusive c. Independent d. Exhaustive
If A and B are events which are conditionally independent given a third event C, which of the following is not necessarily true? Select one: O a. P(An B|Cº) = 1 – P(A|C)P(B|C) O b. P(BANC) = P(B|C) O c. None of the other choices d. P(An B|C) = P(A|C) – P(A|C)P(Bª|C) O e. P(An BnC) = P(A|C)P(BC)
Let A and B be two events with P(A and Bc) = 1. Find P(B). Recall that Bc denotes the complement of the event B.
Which one of the following statements is False (not true)? Events A and B are independent if and only if P(A and B) = P(A) x P(B). Events A and B are independent if and only if P(A) = P(A given B). O(A) x O(not A) = 1 Events A and B are independent if and only if A and B are mutually exclusive; that is disjoint. If events A and B are mutually exclusive then, P (A or B) = P(A) + P(B).
On Mr. Casper's debate team at Thunderbird High School, 20% of the members are Sophomores, 35% are Juniors and 45% are Seniors. A team member is selected randomly to give the closing argument for the team. If a sophomore gives the closing argument, the team has a probability of 0.25 of winning the debate. If a junior gives the closing argument, the probability of winning is 0.6. If a senior closes, the probability of winning is 0.85. (a) Find the probability that the team wins the debate. b sketch a tree diagram to model this process
In a certain university the probability of randomly selecting a student that studies mathematics is 0.6 while the probability of randomly selecting a student studying literature is 0.45. Which of the following statements CAN NEVER BE TRUE? I. The probability of selecting a student studying mathematics given that he studies literature is 0. II. The probability of selecting a student that studies both science and mathematics is 0.27. O Both Statements I and Il. O StatementI only. O Neither Statement I not I. O Statement II only.
5. Show that the conditional independence of A and B given C neither implies, nor is implied by, the independence of A and B. For which events C is it the case that, for all A and B, the events A and B are independent if and only if they are conditionally independent given C?
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?
If the student attends class on a certain Friday, then he is five times as likely to be absent the next Friday as to attend. If the student is absent on a certain Friday, then he is three times as likely to attend class the next Friday as to be absent again.

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If two events are mutually exclusive, then the following is true: a. They cannot be mutually exclusive. b. The events may occur concurrently. c. They could also be complementary. d. They are independent.