Random variables X and Y have the following joint PMF PxY (2, 3) = { do+3), 2 = -1,1; y=1,2 otherwise Find the correlation between X and Y. i.e.. EXY. Find the correlation coefficient pxy between the random variables X and Y.

Q: 1. Consider the distribution function F: R→ [0, 1] given by I F(x)=1/3, -{i/s. x, < 1, 1≤ x < 4, *…

A: The provided information is as follows:The distribution function  is given as

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A: n=20,p=20%=0.20X~Binomial(n=20,p=0.20)Let X be the number of rolling doubles.p be the probability of…

Q: 1. How many times do we need to toss the coin, keeping track of the number of tosses and the number…

A: The following solution is provided below

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A:

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A: Universe={Men,Women,Adolecents, Boys,Girls}Events in the sample space:Regional music singing…

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A: The following Solution is provided below

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A: The following solution is provided below

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A: The following solution is provided below

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A: The following solution is provided below

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A: Mean service time= 5 min Since the waiting time follows exponential distribution having parameter…

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A: The given technology display results show the test of the claim that 94% of adults own cell phones.

Q: A bag contains 3 cherry candies and 27 other flavored candies. If necessary, round your answers to…

A:

Q: Q2: B. Given a normally distributed variable X with mean 4 and standard deviation 2, find: (a)…

A: As per our guidelines we are suppose to answer only three sub parts.Mean()=4Standard deviation()=2

Q: Right triangle XYZ has legs of length XY = 12 and YZ = 6. Point D is chosen at random within the…

A: XY = 6YZ = 12

Q: Draw Venn diagrams for the following Mutually exclusive. Universe={Men,Women,Adolecents,…

A: Draw Venn diagrams for the following Mutually exclusive.Universe={Men,Women,Adolecents,…

Q: A shipment of 30 inexpensive digital watches, including 7 that are defective, is sent to a…

A: Given data:The total numbers of digital watches are n = 30.The total number of defective watches are…

Q: Would it be unusual if the sample mean were greater than $2690? Round the answer to at least four…

A: the population mean (μ) is $2663, the population standard deviation (σ) is $506,  the sample size…

Q: X is a discrete random variable with probability mass function 4 ƒ(x) = cx² for x = Find the value…

A: We have to determine value of c.

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A: Simpson's Rule is a numerical integration method used to approximate the area under a curve by…

Q: . The discrete random variable X counts the number of heads that come up in 50 tosses of a fair…

A: We assume that the coin is fair (unbiased), therefore probability of getting head      P(H) =0.5Then…

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A: Let the events be denoted by:A : fatality was attributed to high speedsB : fatality was attributed…

Q: At a large university a simple random sample of 5 female professors is selected and a simple random…

A: given, At a large university a simple random sample of 5 female professors is selected and a simple…

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A:

Q: The proportion of items in a population that possess a specific attribute is known to be 0.25   a.…

A: Normal approximation is used as sample size n is very large.

Q: An article considered the use of a uniform distribution with A = 0.20 and B = 4.25 for the diameter…

A: Here, we have given information regarding the uniform distribution and the limits of this…

Q: Jaxon has forgotten his four-digit mobile phone passcode. A passcode can contain any of the digits…

A: Passcord can contain any pf the digits 0 to 9 with repeatition allowed. Jaxon forgotten his four…

Q: Many texts that discuss probability state that if events E and F are disjoint, then P(EUF) = P(E) +…

A: Given that if events E and F are disjoint, then

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A: Female Male total Female 5405121052Male 492456948Total 10329682000We have to find the probability…

Q: Question 7 a) In a group of 36 students, 17 study Biology and 16 study Chemistry. 8 students study…

A: It is given asTotal students = 36Biology students = 17Chemistry students = 16Only Biology students =…

Q: It's known that 60 % of restaurant customers add sugar to the coffee and 50 % of restaurant…

A: 60% of the customers add sugar to the coffee, 50% add milk while 70% add at least one of the two…

Q: Two people are from group of 60% have blue eyes. The probability that none of them will have blue…

A: 60% people have blue eyes. n=10

Q: A department store manager has monitored the number of complaints received per week about poor…

A: Number of complaints P(0)P(1)P(2)P(3)P( 4)P(5)Probability0.150.260.340.060.090.1

Q: Suppose X and Y are random variables with the given joint density function [0.1e-(0.5x + 0.2y) if x…

A: X and Y are random variables with the joint density function:

Q: Let X be the number of material anomalies occurring in a particular region of an aircraft…

A: Let X represents the number of material anomalies occurring in a particular region of an aircraft…

Q: a. The probability that an item randomly selected from the box is defective is b. If an item…

A: P(M1) = 0.3P(D| M1) = 0.02P(M2) = 0.7P(D| M2) = 0.04

Q: n order to pay for college, the parents of a child invest $20,000 in a bond that pays 8% interest…

A: P = 20,000r = 8% = 0.08t = 18n = number of compounds in one year = 2

Q: 2) A random variable X has a symmetric density curve shown below. Find the 80th percentile. (That…

A: Given that the above graph represents a triangular distribution with parameters lower value a=0,…

Q: In a study of the accuracy of fast food drive-through orders, Restaurant A had 338 accurate orders…

A: From Restaurant ANo. of accurate orders=338No. of not accurate orders=70sample…

Q: Assuming order does not matter, you randomly play 8 from your new list of downloaded songs.  Explain…

A: ArtistNumber of songsA Tribe Called Red3Drake8The Weeknd7Alessia Cara2

Q: 4. The random variable D counts the number of iterations of the process required to have a ◇ turn up…

A: 4) The random variable D counts the number of iterations of the process required to have a turn up…

Q: 2. Each individual letter of the word Georgia is placed on a piece of paper, and all 7 pieces of…

A: Suppose each individual letter of the word "Georgia" is placed on a piece of paper.All  pieces of…

Q: A box has 40 red and 60 blue eggs. Draw 2 eggs one by one without replacement. Calculate the…

A: From the provided information,A box has 40 red and 60 blue eggs.Total eggs = 40 + 60 = 1002 eggs…

Q: In a study of 420,056 cell phone​ users, 100 subjects developed cancer of the brain or nervous…

A: n=420,056x=100so,the proportion is :

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A: Restaurant XRestaurant…

Q: In a large population, 61% of the people have been vaccinated. Give your answer as a value between 0…

A: From the provided information,p = 0.61n = 5

Q: The probability of a person over the age of 50 having experienced a sexually transmitted HPV (human…

A: Number of trials n=8Probability distribution success p=0.7

Q: A programmer plans to develop a new software system. In planning for the operating system that he…

A: Margin of error(E)=4%=0.04confidence level=99%

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A: The objective is to determine the probability that Petra will win the car on the first trial.

Q: The following table is the probability distribution of the random variable X = The number of…

A: Given ,X = The number of customers in line at the post office during business hours.And , the given…