52. Playing cards Shuffle a standard deck of playingcards and deal one card. Define events J: getting ajack, and R: getting a red card.(a) Construct a two-way table that describes the samplein terms of events J and R.space(b) Find P(J) and P(R).(c) Describe the event "J and R" in words. Then findP(J and R).(d) Explain why P(J or R) # P(J) + P(R). Then use thegeneral addition rule to compute P(J or R).

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Naive Approach 1: Say A, B, C are independent ifP (A ∩B ∩C) = P (A)P (B)P (C).Suppose two six-sided dice are tossed and the outcome is noted. Let S denotethe sample space of this experiment.i. Write down the set S explicitly. Consider the eventsA = {(i, i) : i = 1, 2, 3, 4, 5, 6}, B = {(x, y) : 7 ≤x + y ≤10},C = {(x, y) : x + y is 2 or 7 or 8}.Write down the sets A, B, and C explicitly and calculate P (A), P (B), andP (C).
A bar offers alcoholic and non-alcoholic beverages. They have 12 alcoholic beverages that cost $10 or more, and 5 alcoholic beverages that cost less than $10. They also have 5 non-alcoholic beverages that cost $10 or more, and 10 non-alcoholic beverages that cost less than $10. Suppose I choose a drink at random from the menu. What is the chance that it is alcoholic, given that costs $10 or more? Choose the answer that is closest. Group of answer choices 70.6% 33.33% 37.5% 20.5%
In probability, the event space is the set that contains all possible events. If the sample space has 3 outcomes, how many element- are in the event space?
4- In a hospital unit there are 12 nurses and 7 physicians. 6 nurses and 4 physicians are female. If a staff person is selected, find the probability that subject is a nurses or male. Do the sample space.
3. Oil exploration : Let D and E be two events in a sample space. It is given that P (D) = 0.4, P (E) = 0.5 and P (DUE) = 0.8. (a) Are the events D and E disjoint? Are the events D and E independent? Then to oil exploration. We imagine two oil fields. The event B = "oil discovery on field 1", while the complementary event B' = "no oil on field 1". Similarly, the event C = "oil discovery on field 2", while C' = "no oil on field 2". We are given that P (B n C) = 0.06, P (B' n C) = 0.12, P (B n C') = 0.11 and P (B' n C') = 0.71. (b) Find the probability of oil on field 1. Assume that oil has been found on field 2. What is now the probability of oil on field 1? Assume that it has been proven that field 2 does not contain oil. What is now the probability of oil on field 1? Are events B and C independent?
Identify the sample space of the probability experiment and determine the number of outcomes in the sample space. Draw a tree diagram. Determining a person's entree (steak (S), chicken (C), pork (P)) and vegetable (corn (C), broccoli (B)) Identify the sample space. O A. (SC, SB, CC, CB, PC, PB} O B. (SC, SB, SS, CC, CB, CS, PC, PB, PS} OC. (SC, SB, CC, CB, PC, PB, CC, CB} O D. (SC, SB, SS, CC, CB, CS, PC, PB, PS, CC, CB, CS} There are outcomes in the sample space. Choose the correct tree diagram below. OB. O A. Click to select your answer(s). a 99+ P Type here to search

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