1. Suppose that X has the gamma distribution with pa- rameters a and B, and c is a positive constant. Show that cX has the gamma distribution with parameters a and B/c.

Q: A jar contains 12 differently coloured balls. If you remove all the balls, one at a time, how many…

A: A jar contain 12 differently colored balls .

Q: For customers purchasing a refrigerator at a certain appliance store, let A be the event that the…

A: Given, P(A) = 0.72P(B|A) = 0.87P(B|A') = 0.85We are asked to construct a tree diagram and to find…

Q: Suppose that you gather more data and use ordinary least squares (OLS) to estimate the linear…

A: The question is about regression.Introduction :Suppose,  is a least square regression…

Q: A random sample for 11 exam scores produced the following (hours of study, grade) data values. Hours…

A: Data: X85312576734Y86.00745857.00055678478926480Sample size, n =11To finda. Covariance.b. The…

Q: n a recent survey, 10% of the participants related Pepsi as being "concerned with my health."…

A: The hypothesized proportion of participants, who are concerned with their health, i..e, p0=10% (or…

Q: In a small coffee shop, customers arrive at an average rate of 5 per hour, following a Poisson…

A: X~Pois(rate=5)

Q: 7) A group of 39 randomly selected students have a mean score of 19.5 with a standard deviation of…

A: Given:

Q: The average number of field mice per acre in a 7-acre wheat field is estimated to be 14. (a) Find…

A: Let X represent the number of field mice found. The estimated value is 14.

Q: The time required for an automotive center to complete an oil change service on an automobile…

A: For the distribution of the oil change completion time at the automotive center, it is specified…

Q: A factory manager collected data on the number of equipment breakdowns per day. From those​ data,…

A: w012P(W=w)0.650.200.015

Q: The following data represent the monthly phone use, in minutes, of a customer enrolled in a fraud…

A: The formula for the upper fence is,Where,Q3 denotes the third quartileIQR denotes the interquartile…

Q: 9. Let X₁,..., X10 denote a random sample of size 10 of a Poisson distribution with mean 0. Show…

A: X~Pois(θ) n=10=sample size

Q: Based on the data shown below, calculate the regression line (each value to two decimal places) y =…

A: We have given the following tablexy512.75614.32717.79816.96919.731020.4

Q: body mass index (BMI) of a person is the person's weight divided by the square of his or her height.…

A: Here , we want to test the claim that the mean BMI of US adults in the current year is greater than…

Q: Determine whether the given procedure results in a binomial distribution. If it is not binomial,…

A: Given the procedure: Surveying 200 married individuals and recording if they have ever been…

Q: sider randomly selecting a student at a certain university, and let A denote the event that the 1) =…

A: P(A) = 0.50, P(B) = 0.35, P(A ∩ B) = 0.25Note: According to bartelbyquestion answer guidelines an…

Q: The football coach randomly selects 10 players and timed how long each player took to perform a…

A: From the provided information,Sample size (n) = 10Confidence level = 95%

Q: If data come from a normal distribution, which of the following quantifies the relationship between…

A: Solution-:If data comes from a normal distribution, which of the following quantifies the…

Q: Five males with an X-linked genetic disorder have one child each. The random variable x is the…

A:

Q: At a popular department store, customers receive a scratch - off card when they are at the checkout…

A: 6)Discount10%20%30%40%Probability0.200.200.200.20Sum of probabilities = 0.20+0.20+0.20+0.20 = 0.80A…

Q: A hotel manager believes that 13% of the hotel rooms are booked. If the manager is correct, what is…

A: n = 431, p = 13% = 0.13

Q: The graph illustrates a normal distribution for the prices paid for a particular model of HD…

A: The question is about normal distribution.Given :Population mean price paid (  ) = $1400Population…

Q: Given that X = 1, determine the conditional pmf of Y—i.e., pY|X(0|1), pY|X(1|1), pY|X(2|1). (Round…

A: Let X = the no. of hoses being used on the self-service island at a particular time.Y = the no. of…

Q: A restaurant owner is considering opening an ethnic cuisine restaurant and wonders how much people…

A: We are given that, a restaurant owner is considering opening an ethnic cuisine restaurant and…

Q: Construct a 95% confidence interval for the proportion of domestic cats that are "left-pawed."…

A: It is given that Favourable cases, x = 20Sample size, n = 42Confidence level = 95%

Q: A random variable X follows the continuous uniform distribution with a lower bound of -4 and an…

A: Lower bound=-4Upper bound=18

Q: Fill in the P (X=x) values to give a legitimate probability distribution for the discrete random…

A: XP(X)-60.15-20.2800.261a3b

Q: Imagine that you are a risk analyst at New Mutual, a company that is quoting Deadly Dealers Ltd on…

A: Given that Deadly Dealers Ltd has a warehouse worth R 100 million situated alongside a riverbank in…

Q: A college claims that the proportion, p, of students who commute more than fifteen miles to school…

A: The hypothesized percentage of students, who commute more than fifteen miles, p0=20% (or 0.20).The…

Q: Problem 10-26 (Algo) As part of an insurance company's training program, participants learn how to…

A: For the problem of Melissa:Lower Specification Limit, minutes. Upper Specification Limit,  minutes.…

Q: Use a = 0.01 and conduct a goodness of fit test using 5 classes to see whether the following sample…

A: n=25number of intervals =5

Q: What is the approximate percentage of buyers who paid less than $1360? 2.5 1% What is the…

A: Let X be the random variable of the price for HD Television.Given that,

Q: 41% of employees judge their peers by the cleanliness of their workspaces. You randomly select 8…

A: The question is about discrete probability distribution.Given :Population proportion of employees…

Q: An experimenter is studying the effects of temperature, pressure, and type of catalyst on yield from…

A: Number of temperatures an experimenter studies =2Number of pressures an experimenter studies =…

Q: A box contains four 75 W lightbulbs, three 60 W lightbulbs, and three burned-out lightbulbs. Two…

A: We have given thatnumber of 75 W light bulbs = 4Number of 60 W light bulbs = 3Number of burned out…

Q: A service station has both self-service and full-service islands. On each island, there is a single…

A: Y=0Y=1Y=2TotalX=00.100.050.010.16X=10.070.200.080.35X=20.050.140.300.49Total0.220.390.391

Q: The estimated regression equation for a model involving two independent variables and 10…

A: The regression equation is as follows:

Q: (a) Construct a tree diagram consisting of first-, second-, and third-generation branches and place…

A: Given,the tree diagram is constructed and probabilities are evaluated.

Q: 53- The probability that a patient recovers from a rare blood disease is 0.4. If 15 people are known…

A: n = 15, p = 0.4Note: According to bartelbyquestion answer guidelines an expert can solve only one…

Q: All human blood can be "ABO-typed" as one of O, A, B, or AB, but the distribution of the types…

A: Blood typesABABONational Probability 0.430.12?0.41

Q: GivenP(A) = 0.4,  P(B) = 0.5, P(A | B) = 0.3 Compute  P(A and B) Compute P(A or B).

A: P(A) = 0.4, P(B) = 0.5, P(A|B) = 0.3

Q: A branch of a certain bank has six ATMs. Let X represent the number of machines in use at a…

A: The question is about cumulative density function.Given :To find :Find the probability of each part.

Q: a. If 1 male college student is randomly selected, find the probability that he gains between 0 kg…

A: It is given that Mean, μ = 1.1Std. deviation, σ = 4.9

Q: Forty-seven fast-food restaurant hourly employees were surveyed to see how many hours they worked…

A: n=4787 % confidence interval

Q: d. What control limits would give an alpha risk of .03 for this process? (Round your intermediate…

A: Given data :we need fraction defective ( p hat )sampleno of errorfraction defective…

Q: Baby weights: Following are weights, in pounds, of  11  two–month–old baby girls. It is reasonable…

A: The data shows the weights, in pounds, of 11 two–month–old baby girls.

Q: holds 4 reds, 3 blues, and a selected, altogether without red исп 6 An green marbles. Three mombles…

A: The urn contains 4 red, 3 blue, and 2 green marbles. We have to select 3 balls randomly without…

Q: 3. Consider a simple linear regression model (Y: Consumption, X: Disposable Income) Yị = $1 + 2X+ei…

A: The given model is as follows:The given values are as follows:n =10,

Q: Construct a  99%  confidence interval for the mean number of letter sounds identified in one minute.…

A: It is given that Sample mean = 34.13Sample std. deviation = 23.95Sample size = 145Confidence level =…

Q: It is equally probable that the pointer on the spinner shown will land on any one of the eight…

A: Here it is given that-A circle spinner divided into 8 equal regions numbered 1 through 8. It is…