17. The following are examples of mutually exclusive events except *OA. Events A and A'B. Events A and (BA')OC. Events (AB) and (AB')OD. Events A and (A U B)*18. Suppose A and B are events for which it is known that P(A) = 0.6, P(B) =0.7, and P(A B) =0.4. Which of the following statements is false?A. P(A U B) = 0.9B. P(BA) = 0.3C. P(A) = 0.4OD. P(AB) = 0.3Ⓡ19. Which of the following is not a legitimate assignment of probabilities? *A. The probability of getting a head in a toss of a fair coin is 12.B. The probability that you will pass the course is 0.5 and the probability that you willfail is 0.5.C. The probability of getting a grade of 1.0 in Stat 101Option 3D. The probability of getting 3 heads in tossing a coin three times is 1/8.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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4) Event A has probability 0.3. Event B has probability 0.5. If A and B are disjoint, then the probability that both events occur is?
a) Two events, A and B, are such that P(A∪B) = 0.86, P(B) = 0.72 and P(A) = 0.64. Determine (i) P (A∩B ) (ii)P(A/B) (iii)P(AUB)' b) For a group of 300 cars the numbers, classified by colour and country of manufacture, are shown in the table. One car is selected at random from this group. Find the probability that the selected car is Black Silver White Korea 33 34 35 Japan 23 9 24 America 16 25 34 Germany 19 16 32 (i) a black or white car…
{1,2,3,4,5,6} 2. Let P(A)=0.3, P(B) = 0.9 and P(ANB) = 0.36, then the events A, B are A. Independent C. Mutually Exclusive 3. The B. Not Independent D. None
#6 In the figure, A, B, and C are three events. Express in set operations a) What event is represented by regions 3, 5, 6, and 8 together? b) What event is represented by regions 2 and 5 together? c) What event is represented by region 3 only?
Suppose we toss a fair die. Let A denote the event that we obtain a most 2 spots atop the die and let B denote the event that we observe at least 5 spots atop the die. Also, suppose we toss a fair coin twice and we let C denote the event that we obtain two heads, and let D denote the event that we obtain one head. Select the correct statement below. A and B are independent, while A and C are mutually exclusive. A and B are independent, while A and C are independent. C and D are dependent, while A and B are independent. A and B are mutually exclusive, while A and C are mutually exclusive. A and B are mutually exclusive, while A and C are independent.
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28. Congressional Terms Below is given the summary from the 112th Congress of Senators whose terms end in 2013, 2015, or 2017 2013 2015 2017 20 15 Democrat Republican Choose one of these Senators at random and find a. P(Democrat and term expires in 2015) b. P(Republican or term expires in 2013) C. P(Republican given term expires in 2017) Are the events "Republican" and "term expires in 2015" independent? Explain. 21 13
Construct a Venn diagram representing the event a. (not E). b. (A or B).
b)
Consider a manager who faces uncertainty regarding which of his employees, if any, will be the first to disturb him in his office before lunch. The state space is given by ?={Ben,Jane,Kate,Nobody}S={Ben,Jane,Kate,Nobody}. Use the proper notation to describe each of the following events (described here in words): A man is first to enter. Neither woman is the first to enter. Someone with an 'n' in their name is first to enter (to clarify, "Nobody" is not a person's name). Now suppose you are at a racetrack and about to bet on a horse race. Let ??sj denote the state in which horse j wins the race. For simplicity, suppose there are just 3 horses, and by studying the form guide, you've concluded that the probabilities of each state are given by ?(?1)=12,?(?2)=14,?(?3)=14P(s1)=12,P(s2)=14,P(s3)=14.Write down the definition for two events to be independent and explain whether or not ?1s1 and ?2s2 are independent.
question 10, 11 and 12 they are all multichoice please thank you !
A card is randomly drawn from a deck of well-shuffled playing cards. Let event E be that the card is a king and event F be that the card is a diamond. A standard 52-card deck is split evenly into four suits of cards (hearts, diamonds, clubs, and spades). Each suit contains the cards ace, 2, 3.., 10, jack, queen, king. a) Find P(E) and P (E'). b) Find P(F) and P (F'). c) Find P(EUF).

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17. The following are examples of mutually exclusive events except * OA. Events A and A' B. Events A and (BA') C. Events (AB) and (AB') OD. Events A and (AUB)