Please show work. X and Y are two discrete random variables having the joint probability distribution shown. a) Find the correlation between X and Y. b) Are X & Y independent?

Q: Assume that the random variable X is normally distributed, with mean u = 54 and standard deviation 6…

A: The population mean is 54 and the population standard deviation is 8.

Q: 52. Shaking Hands in a Group A group of six strangers sat in a circle, and each one got acquainted…

A: Let us consider six people as A, B, C, D, E, and F, and one person will handshake only once with…

Q: Question 1 A & out of n system is one in which there is a group of n components, and the system will…

A: Since you have posted a question with multiple subparts, we will provide solution to the first three…

Q: Choosing officers: A committee consists of twelve women and eleven men. Four committee members will…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: How many three-letter code words can be constructed from the first twelve letters of the Greek…

A: It is given that Total number of letters = 12Number of letters to be chosen = 3

Q: Students were surveyed on campus about their study habits. Some said they study in the morning,…

A: How students studyMorningBetween classEveningTotalStudy in grp49720Study in alone96722Total13151442

Q: A company has a policy of retiring company cars; this policy looks at number of miles driven,…

A: Mean =  = 59Standard deviation =  = 6We need to find the percentage of cars that remain in service…

Q: How many elements does it contain?  I forgot to add that part.

A: From the above part we haven(C) = n(B) ={ (1,4),(4,1),(2,3),(3,2) }n(CB) = { (2,3),(3,2) }

Q: On Homework Assignment 1, the general consensus was that I was not in a relationship. Although I…

A: Given the regression output :

Q: Students were surveyed on campus about their study habits. Some said they study in the morning,…

A: Total number of students=42

Q: Coronary bypass surgery: A healthcare agency reported that  86%  of people who had coronary bypass…

A: Sample size(n)=16proportion of people who had coronary bypass surgery in 2008 were over the age of…

Q: We have the following information about the random variables X and Y: μχ μx = 1.5, y =2, 0x = 1, 0y…

A: For the random variables  and , the following information is given:The random variable  is defined…

Q: Students were surveyed on campus about their study habits. Some said they study in the morning,…

A: Given data in the problem isnumber of students = 8+4+2+3+9+1                                      =…

Q: A roulette wheel has 38 slots and a ball that rolls until it falls into one of the slots, all of…

A: Given:Total slots =38Red slots =18Black slots =18Green zeros =2The probability of the ball landing…

Q: Card Mom their own deck. Compute the probabi a. Bert and Ernie both draw an Ace. 1/169 b. Bert draws…

A: We know thatThere are 52 cards in the deck divided into two colour i.e red (26) and black (26).…

Q: Given f(x) = { (x2+1)/30; x = -2,-1,0,1,2  0; elsewhere ] Find the mean and variance of X.

A: X-2-1012f(x)

Q: Hint: Use the Central Limit Theorem ]. Flip a balanced coin 5000 times. Let X be the total number…

A: n=5000P=0.5

Q: Describe a conditional probability activity. What makes it conditional/ independent? Use associated…

A: Activity: Drawing a Face Card Given That We've Drawn a Red CardSuppose we draw a card at random from…

Q: If 90% of the parts produced by a certain machine do not are not defective and which are chosen at…

A: Probability of the parts produced by a certain machine are not defective(p)=0.90sample size(n)=25Let…

Q: 15. Suppose that the members of a student governance committee will be selected from the 40 members…

A: It is given that Sophomores = 18Juniors = 12Seniors = 10

Q: We roll 2 dice 4 times and we want to know the number of times the sum of the dice was 7. Find the…

A: When rolling a die, there are 6 possibilities i.e., 1, 2, 3, 4, 5, and 6.When rolling two dice,…

Q: World Military Expenditure The following chart shows total military and arms trade expenditure from…

A: a)  above equation is a quadratic function and its graph is a parabola. The coefficient a determines…

Q: An elevator has a placard stating that the maximum capacity is 4100 lb-27 passengers. So, 27 adult…

A: The provided information is as follows:The mean weight is  lb.The standard deviation is  lb.We have…

Q: In a 1-pound bag of skittles the possible colors were red, green, yellow, orange, and purple. The…

A: We have to check the given table is Probability distribution table or not.

Q: 4. In recent years the state of Alaska issued license plates consisting of 7 characters. The first…

A: The lincense plates consisting of 7 characters of which three characters and four numeral digits.

Q: Suppose that X ~ Exp (A) for some X > 0. If Y = X¹/a for some a > 0, show that Y is absolutely…

A:

Q: The lifespan of EEL light bulbs is a random variable obeying a normal law. Lifetime average of these…

A: The lifespan of EEL light bulbs is a random variable obeying a normal law. The lifetimeaverage of…

Q: A total of 10 toys are sequentially and randomly chosen, without replacement from a toy box…

A: No.of red toys=4No.of blue toys=6Total no.of toys=10

Q: a. Flip a balanced coin 5000 times. Let X be the total number of heads. Compute P(2400 ≤ X ≤ 2600).…

A: Since the number of trials (n = 5000) is very large we can use normal approximation using Central…

Q: cated z-score shown in the graph to the right. vo decimal places as needed.) Aream 0.2981 최 2-76

A: X follows with mean zero and standard deviation is 1.X~N(0,1)

Q: What happens to the shape of the binomial distribution as the number of trials increases? Is it true…

A: We have to tell , When number of trials increases , what happens to the shape of Binomial…

Q: Describe an interactive activity using permutations and combinations use associated formula to show…

A: GivenYou are a teacher, and you have a class of 10 students. You want to engage the students in a…

Q: he amounts of time per workout an athlete uses a stairclimber are normally distributed, with a mean…

A: We are going to find the probability by the help of z scores, calculate z scores of each then find…

Q: Express the following probability as a simplified fraction and as a decimal. If one person is…

A: Total population = 242 millionTotal male population = 115 millionTotal female population = 127…

Q: Describe an interactive activity using probability of independent events. What makes it independent…

A: Interactive activity: Double coin tossGiven:You have two coins: one regular fair coin with one side…

Q: (a) Find the number of these patients that had either high blood pressure or high cholesterol…

A: A survey was conducted among 68 patients admitted to a hospital cardiac unit during a two-week…

Q: D Question 2 Three draws are made without replacement from a box containing 6 tickets; two of which…

A: Total ticket=6two of which are labeled "1", and one each labeled, "2", "3", "4" and "5".

Q: Management Decision Systems (MDS) is a consulting company that specializes in the development of…

A: Given data: timeActivityDescriptionImmediate predecessoropti (a) most prof (m) pess (b)AReport…

Q: Assume a member is selected at random from the population represented by the graph. Find the…

A: X~N( μ , ?)μ=20.2    , ?=5.4Z-score =( x - μ )/?

Q: For a standard normal distribution, find the probability a score is at most 0.37 standard deviations…

A: Here given , score follows standard normal distribution with mean 0 and standard deviation 1.X =…

Q: Explain the following with Business related or daily life examples: Binomial Distribution and…

A: We are asked to explain and provide examples of binomial distribution in business-related or daily…

Q: Use the standard normal table to find the z-score that corresponds to the given percentile. If the…

A: Z has follows standard normal distribution with mean zero and standard deviation one.

Q: An urn contains four white balls and six black balls. The random experiment consists of drawing…

A: 4 white ball+ 6 black ball =10 ball

Q: In an​ orchestra,23 people can play stringed​ instruments, 21 can play​ brass, and 15 can play…

A: To determine the maximum and minimum numbers of people in the orchestra, we can use the principle of…

Q: 3. Let X, Y be continuous random variables with joint pdf f(x, y). Calculate the joint cumulative…

A: Let X and Y have joint pdf

Q: (b) What is the probability that preparation time exceeds 26 min? 0.9 ng Saved Work Revert to Last…

A:

Q: A supplier has 200 compact discs, of which 10% are known to be defective. If a music store…

A: We have given thattotal number of compact discs = 200Since 10% is defective so, 10% of 200 = 20Thus,…

Q: A group of transfer bound students wondered if they will spend the same mean amount on texts and…

A: Difference in means = Mean(u) - Mean(c) = 1015 - 949 = $66Population standard deviation of…

Q: A fair die is rolled once followed by tossing a fair coin. A random variable X is defined as: X =…

A: