a) Are these two events mutually exclusive? Why or why not?QA. The events are not mutually exclusive. The event of rolling a total of nine cannot occur at the same timeas rolling a pair during the experiment.OB. The events are not mutually exclusive. The event of rolling a total of nine can occur at the same time asrolling a pair during the experiment.OC. The events are mutually exclusive. The event of rolling a total of nine can occur at the same time asrolling a pair during the experiment.OD. The events are mutually exclusive. The event of rolling a total of nine cannot occur at the same time asrolling a pair during the experiment.b) Are these two events independent? Why or why not?OA. The events are independent. If a total of nine is rolled then the probability of both dice being a pair doesnot change.B. The events are dependent. If a total of nine is rolled then the probability of both dice being a pair equalzeroOC. The events are dependent. If a total of nine is rolled then the probability of both dice being a pair doesnot change.OD. The events are independent. If a total of nine is rolled then the probability of both dice being a pair equal

Answered: Image /qna-images/answer/2a2d6698-08a5-49bb-88ff-5fc80f66fc49.jpg

Answered: a) Are these two events mutually…

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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Consider an experiment that is performed by flipping a coin 3 times. The result of the flips (H - heads, T- tails) are recorded. e.g. one such outcome might be HTT. Identify a null event. All of the flips result in the same outcome. Heads and tails are observed an equal number of times. There are more heads than tails. There is at least one tails observed. None of the above. O O O O O
We flip a fair coin two times. Remember that for a fair coin, the probability of landing on heads (H) is 1/2 and the probability of landing on tails (T) is also 1/2. The flips are independent. If the outcomes from both flips are the same (HH or TT) we win, otherwise we lose. Define the following events: A: heads for the first coin flip. • B: heads for the second coin flip. C: we win. What is the probability that all three events happen, P(AN Bn C)? 1/2 1/3 1/4
Flip two fair coins. Then the sample space is {HH, HT, TH, TT} where T = tails and H = heads. The outcomes HT and TH are different and the HT means that the first coin showed heads and the second coin showed tails. The TH means that the first coin showed tails and the second coin showed heads. Let A = the event of getting at most one tail. What is the probability of event A? a. 0.25 b. 0.66 c. 0.75 d. 0.50
You have been given an experiment to toss 3 coins. 1. Show all the possible outcomes of this experiment. Hint: one of the outcomes is (H,T,H) 2. Which case did you use to count the number of all possible outcomes above? 3. What is the probability that you will get at least 2 heads (two or more)? 4. What is the probability that you will not get any head? 5. What is the probability that you will get 3 tails (T,T,T)?
1) The question screenshot attached down below just need final answer.
Have you ever re-gifted? According to Webster's dictionary 're-gift is to give a gift you received to someone else. Suppose you take a random sample of 1000 adults and get the following results: Yes - Regifted No - Regifted Total 400 Female Male Total 160 240 400 240 360 600 600 1000 Which of the following statements is true? Select one: O The events Regift and Female are dependent because P(Regift) = P(Regift|Female). O The events Regift and Female are independent because P(Regift) = P(Regift|Female). %3! O The events Regift and Female are dependent because P(Regift) + P(Regift Female). O The events Regift and Female are independent because P(Regift) + P(Regift|Female).
Flip two fair coins. Then the sample space is {HH, HT, TH, TT} where T = tails and H = heads. The outcomes HT and TH are different and the HT means that the first coin showed heads and the second coin showed tails. The TH means that the first coin showed tails and the second coin showed heads. Let A = the event of getting at least one tail while letting B = the event of getting all tails. What is the probability of event A ∩ B? a. 0.66 b. 0.50 c. 0.25 d. 0.75
a fair coin is tossed five times. let A be the event that an event number of heads occurred and let B be the event that a tail occurred on the first toss. determine whether the events A and B are independent or not
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?
Consider an experiment involving two successive rolls of a fair die. Consider the following events. A: event that the first roll results in a 1.B: event that the second roll results in a 6.C: event that the sum of two rolls is a 7.D: event that the maximum of two rolls is 2.E: event that the minimum of two rolls is 5. Answer the following questions giving proper justification. (a) Are events A and B independent?(b) Are events A and C independent?(c) Are events B and C independent?(d) Are events A, B, and C independent?(e) Are events D and E independent?
1. Geno and Smith collaborated in a Math256 Midterm recently and both received 90 out of a possible 100 points. The events, Geno receiving 90 points and Jason receiving 90 points are : d. All of the answer options are correct.b. disjoint events a. independent events c. dependent events 2. In his Fall Math256 class, 40% of the students studied at least 15 hours per week, 30% of the students received a 4.0, and 10% studied at least 15 hours per week and received a 4.0. Find the probability of students who either studied 15 hours per week or received a 4.0? a. 0.4 d0.7 c. 0.1 b. 0.6 3. Two high school seniors find themselves with much time and nothing to do. They decide to devise a computer game in which a cursor moves randomly along the x axis between 0 and 4. The game they play is to stop the cursor at random points between O and 4 without looking at the screen. Such a game results in a uniform distribution over the interval between 0 and 4 and resembles a density curve. The area…

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