25. A bag contains n counters marked 1, 2, 3,, ... n. If two counters are drawn, show that the chance that the difference of the counters exceeds n (less than n-1) is n-1) (n-m) (n-m- n(n −1)

Q: Explain the difference between bias and unbiased data and suggest reasons for . Consider the…

A: Unbiased - Accurate Biased - not accurate We have to tell difference between Biased and unbiased…

Q: 12. A random variable X is defined on roulette by X(w) = min {6, max {2w — 10,0}}. Find the…

A: Given that the random variable X is defined on Ωroulette by Xω=min6, max2ω-10,0.

Q: For the given data set: X 812 y 10 7 Part 1 of 6 2 15 11 5 | ! |; 6 13 19 2

A: Given : A dats set x y 8 10 12 7 2 15 11 6 5 13 19 2

Q: The marginal distribution functions are given by Fry (x,00)=Fx (x) and Fxy (0o, y) = Fy(y) X

A:

Q: 1. A company, which makes battery-operated cars, claims that its products have a mean life span of 5…

A: Given: Population mean = 5 Sample mean = 4 Standard deviation = 10 Sample size = 40

Q: A study was done to know if there is a relationship between obesity and atherosclerosis. A total of…

A: Given The total participants in the study =775The participants with atherosclerosis =312 Among these…

Q: Which statement accurately describes the proportions in the tails of a normal distribution?   Group…

A: The objective is to find out which option is correct from the given options for the proportions in…

Q: A random sample of n measurements was selected from a population with standard deviation o = 18 and…

A: As per company guidelines I solved exactly three subparts of the question.thank you

Q: The probability of the joint event {x₁ < X ≤ x₂, Y₁ <Y ≤ y₂} is given as P{x₁ < X < x₂, Y₁ <Y ≤y₂} =…

A:

Q: A car dealership claims 20% of their customers are return buyers. Let the random variable X be the…

A: From the provided information, A car dealership claims 20% of their customers are return buyers.…

Q: Question 14 Evaluate the following. (DO NOT USE COMMAS WHEN YOU V FOR EXAMPLE ENTER 3456789 NOT 3,…

A:

Q: 1)dependent or independent 2) dependent or independent 3) dependent or independent

A: Given,P(A)=15 ,  P(B)=310  ,   P(A and B)=3100

Q: The marginal density functions of X and Y are and £x(x) = [** £x,y(x,y) dy = @F(x,∞) əx fy(y) =…

A:

Q: n insurance agent knows that 18% of deer-car collision claims are filed in November. Consider a…

A:

Q: A bar graph is used with [ Select] [ Select] one(s) next to it. A histogram is used with [ Select]…

A: In this case, we need to fill the suitable answers for the given statement.

Q: Find the mean and variance of Z.

A: Given, E(Xi)=μ             for i=1,2,3......n V(Xi)=σ2         for i=1,2,3...n Z=X-μσn where…

Q: Mr. Chan puts $1000 in a bank account at the beginning of each month for 6 years. Find the total…

A:

Q: In a recent study, a researcher wanted to find out if smoking have negative effects in health. A…

A: Given that  Using excel  regression

Q: Dr. X, President of Y University, gathered data from the journal "Academe" regarding the average…

A: Given Information: Consider the given dataset: Professor's salary 26000 28000 28100 29700…

Q: For 30 recent Academy Award ceremonies, ages of Best Supporting Actors (x) and ages of Best…

A: Introduction: It is required to predict the age of Best Supporting Actress in 1982, when the age of…

Q: In a particular road intersection, it has been observed that (2/3) of vehicles turn to the right…

A: Given problem Given that   In a particular road intersection, it has been observed that (2/3) of…

Q: s] Solve the problem. 3) Persons taking a 30-hour review course to prepare for a standardized exam…

A: The question is about to fit linear equation Given : No. of hours review course for std. exam ( x1 )…

Q: 3. Let X₁, X2,..., Xn be iid random variables with mean and variance o2. Define the random variable…

A: Given that  Suppose that X1 X2 x and be the iid  random variable with mean μ  and variance σ2 We…

Q: t*

A: Given Confidence interval for population mean=97% Sample size n=17

Q: al calculations what would the formu

A: Predicting the Maximum fee, and subscription-based on their age and the number of times they shop at…

Q: Sam wants to join one of the following saving plans. (a) In Plan A, Sam will make a deposit of…

A: Given that Sam wants to join one of the saving plans : plan A or plan B.

Q: Consider the continuous random variable x with probability density function 15x²e-5xx3 for x ≥ 0…

A: For the above problem, the required R-code is given as below: ##First define the pdf given in the…

Q: A principal at a certain school claims that the students in his school are above average…

A: Given : Sample size (n)=30Sample meanx¯=112.5Population mean μ=100population standard…

Q: Add a lottery, hundred tickets were sold and three prizes are to be given. How many possible…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!.

Q: The grades on a midterm were Normally distributed with a mean of 120 and a standard deviation of 17.…

A: GivenMean(μ)=120standard deviation(σ)=17

Q: Marleny is creating a game of chance for her family. She has 5 different colored marbles in a bag:…

A: From the provided information is  E(X)=-2*P(X=-2)+p*P(X=p)E(X)=-2*45+p*150=-85+p50=-8+pp=8

Q: has been observed that (2/3) of vehicles turn to the right direction and the remaining vehicles turn…

A: The question is about binomial dist. Given : Prop. of vehicle turn to the right direction ( p ) =…

Q: A student claims that statistics students at her school spend, on average, an hour doing statistics…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Below are four bivariate data sets and their scatter plots. (Note that all of the scatter plots are…

A: Solution

Q: 2. Mr. Santiago's company sells bottled coconut juice. He claims that a bottle contains 500 ml of…

A: Given the 6 random samples of 10 bottles as Sample 1 Sample 2 Sample 3 Sample 4 Sample 5 Sample 6…

Q: The list shows the score of each game completed at a bowling alley during a one-hour period. 90, 96,…

A: The scores of each game at a bowling alley is given as :…

Q: Three unbiased coins are tossed. all the heads, (ii) two heads, (iii) one head, What is the…

A:

Q: A soft-drink machine is regulated so that it discharges an average of 200 milliliters per cup. If…

A: The average amount of soft drink discharged(μ)=200 The standard deviation of the amount of soft…

Q: 4. Given the values below, predict the grade of a student in Math if his grade in English is 85…

A:

Q: Scenario: Researchers were interested in how social situations can influence stress-induced eating.…

A: Given Information: Topic: How social situations influence stress-induced eating. No.of eating…

Q: Create w = (1,3,5,..., 29). Give your R-code to subsequently remove all the components greater than…

A: R-code for the above problem is given as below: w= seq(from= 1, to= 29, by = 2)ww_remove &lt;-…

Q: The following data set shows the weekly advertising expenditure and sales of 12 retail merchants…

A: To create scatter plot we represent independent variable cost(x) on x axis and dependent variable…

Q: An article published in the Canadian Journal of Zoology presented a method for estimating the body…

A: We have given 95% confidence interval for the average body fat percentage of porcupines is 17.4% to…

Q: a) What study design was used b) Calculate estimates of OR of the above study c) Calculate the…

A: Hey!! thanks for asking the question, A study of 1700 participants looked at the association between…

Q: The school registrar estimates that the dropout rate of senior high schools in Cavite is 75%. Last…

A: Given: Population proportion = 0.75 Number of selected freshman = 70 Sample size = 200

Q: At a tennis tournament a statistician keeps track of every serve.  The statistician reported that…

A: GivenMean(μ)=100standard deviation(σ)=9

Q: 1. Measurments were made on a thousand husbands and a thousand wives. If the measurements of…

A:

Q: Hr. Raul's Tree Cutting Company charges a flat fee of $35 for a service call, plus $30 per hour to…

A: Given Information: No. of firms=02Firm 1=Mr. Raul's Tree Cutting CompanyFirm 2=Mrs. Regina's Tree…

Q: Find the value of X using Normal Distribution, if P(-X <Z <+X) = 0.9756 1.55 O 0.77 O 1.78 O 3.15 O…

A:

Q: (a) Find the critical value, t*, for a 99% confidence interval. t* = (b) Find the margin of error…

A: Given: Sample size, n=16 Sample mean, x¯=3.16 Sample sd, s=0.93