Is there any case that the two events are Mutually Exclusive Events and dependent or two events are non mutually exclusive events but independent? Give me an example. Thanks.

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A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

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Q: If n(A) = 10, n(B) = 11, and n(ANB) = 4, what is n(AUB)? n(AUB) = (Type a whole number.)

A: Given that n(A)=10, n(B)=11, n(A∩B)=4

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A: male female total management 7 6 13 supervisor 8 12 20 production 45 72 117 total 60 90…

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Q: A company has 10 members on its management team, 6 men and 4 women. There is a conference in Hawaii…

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Q: Suppose you live in an extremely unfortunate climate where it always rains on weekends (Saturday and…

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Q: Let X₁, X2,..., Xn be a random sample from a population with density function 37² 0, (a) Find a MOM…

A: X1, X2,....,Xn be the random sample from the population with density function- fx=3x2θ3  , for 0≤x≤θ

Q: What is the probability that the publishing company’s shares will rise in value on the first day of…

A: Let us define some events  A : Dow Jones index rises. B : FowJones index does not rise. E :…

Q: Suppose that we have two events, A and B, with P(A) = 0.50, P(B) = 0.60, and P(A n B) = 0.40. (a)…

A: given   data ,  two events , p(A)=0.50p(B)=0.60p(A∩B)=0.40  we have to  answer part a to c for the…

Q: # 5. The transition matrix for a three-state Markov chain with S = {1,2,3} is P = 0 0 0 0 1 0.5 0.5…

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Q: An experiment tested a tree fertilizer on a large number of elm and oak trees to see whether it…

A: Given that   Positive  Negative  Total Oak 73 45 118 Elm 102 27 129 Total 175 72 247

Q: 02: A random variable y is selected from an interval [-3, 3]. Le the events A, B and C is defined as…

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Q: (iii) Derive the method-of-moments estimators a, b for the parameters a, b of a uniform distribution…

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Q: Consider a discrete random variable X that is defined by its piece-wise defined cumulative…

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Q: This list of largest cats shows the 10 largest extant Felidae species, ordered by maximum reported…

A: Given the list of largest cats shows the 10 largest extant Felidae species, ordered by maximum…

Q: (a) Let A and B be independent events with P[A] = 1/5 and P[B] = 1/4. Calculate P[An B] and P[AU B].

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: 9. In 2008, the per capita consumption of soft drinks in Country A was reported to be 18.26 gallons.…

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Q: 2. The Chinese Mini-Mental Status Test (CMMS) consists of 114 items intended to identify people with…

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Q: To simplify the calculations, we make use of the following random variables for the empirical…

A: Given information: E σ^2=n-2nσ2 E vy=n-1nσ2+β2vx X^i=xi Y^i=yi ε^i=εi Where i∈1, 2, ..., n with…

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A: standard normal distributionZ~N(0,1)

Q: A study shows that 30 percent of children in a given developing country are malnourished. Using…

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Q: 2.5.5Suppose that two continuous random variables X and Yhave a joint probability density function…

A: Hi! Thank you for the question. As per the honor code, we are allowed to answer three sub-parts at a…

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Q: Jules and Jason collaborated in a Math146 class activity and both received 25 out of a possible 30…

A: Solution: Let A be the event Jules receiving 25 points.  B be the event Jason receiving 25 points.…

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A: We have given the following table

Q: Use shading to show the following set on the Venn diagram. B'U(A'NB') ... Use the graphing tool to…

A: We we have to plot the ven diagram for  B'∪(A'∩B')

Q: (ii) The population distribution is normal with mean 0 and unknown variance o² > 0. So, o2 is the…

A: Let Xi ~ N(0, σ2)  : σ2 is unknown then to fjnd maximum likelihood estimation of σ2 ?

Q: 3.1.5A fair die is rolled eight times. Calculate the probability that there are: (a) Exactly five…

A: Introduction: Denote X1 as the number of even numbers, X2 as the number of 6’s, and X3 as the number…

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A: Introduction The 60th percentile of a distribution is a value that separates the data into two…

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Q: A survey of entering students showed that 12 percent of law school students took a prob- ability…

A: It is given that  • P( starting salary of law school students is $75000 ) = 73% = 0.73 • P( law…

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Q: JESTION 18 A lot of 100 USB Flash drives contains 12 that are defective. Two drives are selected…

A: We have to determine the probability.

Q: Q1: A random experiment consists of drawn integer numbers from a sample space S = {1,2,3,..., 20).…

A: Given that S=(1,2,3,...,20) A=(1,2,3,4,5,6,7) B=(1,6,7,8,9,10)…

Q: RV X with pdf f(x) = cx², -1 0) 2. P(X>0|X< 1) 3. P(X<1| X <0) I.

A: Given that Pdf of X is  f(x)=cx2, -1&lt;x&lt;2 Note: According to bartelby question answer…

Q: (c) Consider a packet of jellybeans that contains 9 jellybeans, of which 4 are lemon and the…

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Q: Suppose that the technology firm X has a real option where u=1.5, d=2/3, RF=20%, sigma=10%. What is…

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Q: d. 99% of the people in Country A consumed less than how many gallons of soft drinks? gallons of…

A: Given that Mean=M=18.26, Standard deviations=Sd=4

Q: f(x) 1}=e=*/4 10. a>0 elsewhere

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Q: A particular fruit's weights are normally distributed, with a mean of 256 grams and a standard…

A: given data  normal distribution μ = 256σ = 29n = 8P(x¯&gt;z) = 0.17

Q: Part 1: Say whether the situation involves Independent or Dependent events, and explain why. 1. I…

A: Independent events: Two events are independent if the occurrence of one event does not affect the…

Q: Question 3 Given B(10,0.6) for sample size 20.Find the probability for sample mean b. P(X> 6.2)

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Q: (b) Construct and sketch the cumulative distribution function.

A: Given Information: A random variable X indicates the thickness of the paint in millimeters at…

Q: The age at which a given disease occurs in children is normally distributed with a mean of 10 years…

A: From the provided information, Mean (µ) = 10 Standard deviation (σ) = 1.5 X~N (10, 1.5)