If event A is independent of event B and A is independent of event C. Which of the following statements is true? a) P(A ∩ B) = P(A ∩ C) b) B and C are alien or disjoint c) B and C are independent d) None of the above.
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2. If
following statements is true?
a) P(A ∩ B) = P(A ∩ C)
b) B and C are alien or disjoint
c) B and C are independent
d) None of the above.
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Solved in 2 steps with 2 images
- 10:16 1 ul LTE 4 Done 6 of 6 Use a truth table to determine whether the argument is valid o pA ng . q v r p9rpA ~g p → r qvr TTTF TTF?v TFT?v 1?v TFFT ? FTT?v FTFF ? v FFT ? v T. FFFF From the truth table, we know the argument is invalid !!5- The number of combinations of 5 elements that can be selected from 10 elements, is a) 250 b) 251 c) 252 d) 253 6- If the event A is included in the event B than: a) P(ASB) b) P(A2B) c) P(1-P(A)) d) P(1-P(B))a) During the Restricted Movement Order (RMO), the maximum number of people can ride on a 7-seater car is only 4 people. In how many ways can a family of 10 people be seated on the car if the father must be on the car? In how many ways can the word ASTRAZENECA be arranged if the arrang ent must start with Z? b) The probability that a particular day will be sunny is 0.6. The probability that Aisyah will be going for a shopping on a sunny day is 0.6 and the probability that she will begoing for a shopping on a rainy day is 0.2. a) Draw a tree diagram to represent the above information. If Aisyah goes for a shopping on a particular day, find the probability that it is a rainy day. b)
- Choose the right answer quickly pleaseProvide a written of the complement of the given event Of the thirteen different women Calvin asks for a date, at least one of them accepts.4 There exists ARAM and ACPU. Which side in ACPU corresponds to AM? * RA AM MR O CP O PU Next This contentis created by the owner of the form The data you submit wil be sent to the form owper, Microsoft is not respors bie privacy or security practices of ts customers, inciuding trose of this form ewner. Never give out yo.r password. Powered by Microsoft Forms Privacy and cookles | Terms of use nilarity T. Posters (Geometry .. O O O O O0
- a) only II B) IV only NS) only I D) III and IV TO) only IIISuppose a card is drawn from a standard 52 cards deck. Spades, Diamonds, Clubs, Hearts Let A denote the event "the card drawn is black" and B denote the event "the card drawn is diamond". Are A and B independent? Are they mutually exclusive? O Not independent, not mutually exclusive. O Mutually exclusive and independent. O Independent but not mutually exclusive. O Mulually exclusive but not independent.4. A bag of fast-food sandwiches contains two hamburgers, four cheeseburgers, and three chicken burgers. If Wyatt ordered a cheeseburger and a chicken burger, what is the probability that a) the first sandwich selected will be one of his choices? b) neither of the first two sandwiches will be among Wyatt's choices? 5. Petra has mastered the proofs for six of ten theorems. Two of the theorems will appear as questions on the final examination. What is the probability that a) neither of the proofs on the examination will be among those Petra mastered? b) at least one of the mastered proofs will appear on the examination? 6. A pizza contains three toppings randomly selected from the following choices: pepperoni, mushrooms, green peppers, ham, bacon, and onions. Manuel enjoys all toppings, except bacon and onions. What is the likelihood that a pizza will contain a) no toppings that Manuel dislikes? b) exactly one topping that Manuel dislikes? c) at least one topping that Manuel dislikes? 7.…
- ASAPP!! Suppose there are three urns. Urn 1 contains two red balls and three black balls. Urn 2 contains one red ball and three black balls. Urn 3 contains four red balls and two black balls. A ball is drawn at random from Urn 1. If it is red, a second ball is drawn at random from Urn 2, but if it is black, the second ball is drawn at random from Urn 3. a) What is the probability of the second ball being drawn from Urn 3? b) What is the probability that the second ball is black, given that it is drawn from Urn 2? c) What is the probability that the second ball is black? (broad explanation)3.7.19 onlya) There are 6 balls in the bowl, of which 0 is white and the rest black. Person A has no knowledge of how to make balls the colors are determined, so according to his preconception all options (0,1,2,3,4,5,6) for 0 are equal likely. The person B picks up the ball from the bowl at random, returning it to the bowl and says the color is black. B repeats this one more time and says the color is black again. Person A does not know person B. Person A tries to figure out the number of white balls in the bowsl using Bayesian inference. Express by listing the values or, if desired, also by the formula i) the prior distribution of from the perspective of person A, ii) likelihood function the person A uses, iii) the person A' posterior distribution for 0. What is the most probable value of from the perspective of person A after making the observations? b) Continuation: The person C is listening the same experiment, without seeing the bowl either. Person C happens to know person B and knows that…
