Suppose X-N(18,25 ) and Y~N(19,16 ) . If a sample of size 25 was selected from the X population and another sample, independent of the first, of size 25 was selected from the Y population, then P( X < Y) is closest to
Q: Find the conditional marginal PMF for X given that Y > 3.
A: From the given information, x\y 1 2 3 4 5 6 Total 1 0 0 0 0 0…
Q: If X1, X2,..., X, constitute a random sample of size from a population given by 2(0 – x) for 0 <x <0…
A:
Q: Suppose that , and ©2 are unbiased estimators of the parameter 0 and that V (6,) = 15 and V(@2) = 4.…
A:
Q: A study conducted in the automotive field states that more than 40% of vehicle engine failures are…
A: Let X be the number of vehicle engines that have problems in the coding system. Here, X~Binomn=70, p…
Q: how do you find z sub alpha over 2 using table a-2
A: I am solving this question by taking an example Let us take α = 0.05 We need to find
Q: The probability that the Air Conditioning of a brand new car is defective is 10%. Let X be the…
A: Given information Probability that the brand new car is defective(p) = 0.1 Sample size n 100
Q: Suppose a study reported that the average person watched 3.46 hours of television per day. A random…
A:
Q: Two groups of children, one belonging-to the professional class, 125 in number, and the other…
A:
Q: Let TNN(u,6²). define a faction Fact):= 2t- a, t>a, and Fact):= K (a-), tsa Find the value of a that…
A: Given:
Q: Let x1, X2, X3 be a random sample from an exponential distribution with mean 0. Consider the three…
A: Solution
Q: A system consists of two components whose lifetimes (in years) X1, X2 are inde-pendent and…
A: a) The expected value of x can be calculated as follows:
Q: Suppose that the Lorenz Curve for country A is given by yA = x 2.2 and for country B is yB = 0.3x 2…
A: Step:- 1 Gini index / coefficient Formula is Gi=∫01x dx-∫01f(x) dx1/2Here, ∫01x dx = 12= Area of y=x…
Q: DA dzferendial equeadion of 2nd order has how many arbètrany Constants en the generel Soletion q @2…
A:
Q: If T, is an MVUE of y (0) and T, is any other unbiased estimator of y (0) with efficiency e < 1,…
A: Answer: For the given data,
Q: A bowl contains 10 balls, of which 4 are red and 6 are white. Balls are randomly selected from the…
A:
Q: Let X1, X2, ... , Xn be a random sample from N(μ, σ2). Find the Moment Generating Function of X̅.…
A:
Q: A certain brand of upright freezer is available in three different rated capacities: 16ft3, 18 ft3,…
A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…
Q: An experiment is conducted to determine the relationship between the amount of a certain drug in the…
A:
Q: 3. If x1,x2, ... ,x, be a r.s from N(u, 1) ,show that -- is an unbiased estimator for u2 ? 1
A: x1 , x2 , ... , xn are randomly sampled from N(μ,1)
Q: A medical rescarcher conjectures that smoking can result in the wrinkled skin around the cyes. The…
A: We draw two random samples of smokers and non-smokers, of size n1 = 25 and n2 = 20 respectively.…
Q: Let p(x) = x2/x+2 and p'(x) = x2+4x/(x+2)2 (a) Find all critical values for p(x). Show you work.
A: We have to find
Q: 3. Let X1,..X be a random sample from f(r, 0) =, 0 0. Let Y1 = min,{X,}. Find consistent estimators…
A:
Q: Suppose 1.5% percent of the ball bearings made by a machine are defective and the ball bearings are…
A: Introduction to binomial distribution: Consider a random experiment involving n independent trials,…
Q: If X1, X2,...,Xn constitute a random sample of size n from a population given by 2(0 - x) for 0<x <…
A:
Q: A study claims that over 40% of those who suffer from osteoarthritis receive measurable relief from…
A: Step 1: Given that, 40% of those who suffer from osteoarthritis receive measurable relief from an…
Q: 5) Construct a linear approximation of the function f(x ) = lacX+s) about the point x,= 1. Compare…
A: Tangent line approximation or linear approximation is very significant in differential calculus.…
Q: A researcher obtained the following results for a stock price: Pt = 0,999Pt-1 + εt with R2=0,99 and…
A: A test of stationarity (or nonstationarity) that has become widely popular over the past several…
Q: Suppose that you randomly selected 20 adults. Assume 18% of the population smoke. Roun answers to 2…
A: Given data,Number of adults n=20Proportion of population smoke is p=18%=0.18The Mean…
Q: Assume that after w months, butterflies’ populace in 1000 is calculated as: f(w)=12w+cos(16w)+n×100…
A: Given: Butterflies’ populace after w months is given by f(w)=12w+cos(16w)+n×100 in 1000 where n=824
Q: Prove that for a random sample of size n, X, X2 X, taken from a finite population s - (, - i) Σ n…
A:
Q: Step 3 Now, compute x- 2s and x + 2s, given thatx = 30 and s 6. x- 2s - 30 - 2 x+2s- + 2(6)…
A: Introduction - Sample mean- X=∑xinwhere, n =number of observations in the sample chebeyshev…
Q: Let X1,..., Xn be a random sample from a uni form(0,0 + 1). Let 01 = X – 0.5 and 02 = max(X1,...,…
A:
Q: In an area having sandy soil, 60 small trees of a certain type were planted, and another 60 trees…
A: Let x= No. of trees planted in sandy soil y= No. of trees planted in clay soil Px=0.7,…
Q: A sample of two observatiors x₁, x2 has been drawn from a normal population. It is required to test…
A:
Q: For 50 randomly selected speed dates, attractiveness ratings by males of their female date partners…
A: It is given that The equation of a best-fitted line between attractiveness ratings by males of their…
Q: a) b) c) Show that for any &> 0 and S, ===₁ X₁, lim P(|S₁ − 0| ≥ ɛ) = 0. 1110 Show that a statistic…
A: As per bartleby guidelines we can solve only first three subparts and rest can be reposted
Q: In an area having sandy soil, 40 small trees of a certain type were planted, and another 40 trees…
A:
Q: A sample is selected from a population with μ = 50 and σ = 12. If the sample mean of M = 56 produces…
A: Given The population mean = 50 The standard deviation = 12 The sample mean M =…
Q: A study claims that over 40% of those who suffer from osteoarthritis receive measurable relief from…
A: Given information: Sample size, n = 73 osteoarthritic patients The critical region is defined to be…
Q: Let Xi- N co,1) and n=2 auel T= Xi+ Xz Show that Tis a %3D Sufficiency Stabisuic Statistic.
A:
Q: Suppose that independent Bernoulli trials with parameter p are performed successively. Let N be the…
A: To find : P(N=n)=xnP(X=x)
Q: Of var Toi ts. ir 21:5. If the average fraction defective of a large sample of a product is 0-1537,…
A:
Q: The mean of a population of raw scores is 60 (sX 16). Your X 66 (with N 40). Using the .05…
A: Given: population mean= 60 sample mean= 66 sample size = 40 sample standard deviation =16
Q: 19. If X1 and X, are Poisson vaiates with means m¡ and m2 prove that the probability that x1 – x2…
A:
Q: at α = 5% LOS
A: At α = 5%, df=n-1=10-1=9. The critical value is determined as, tc=tα2,df. Substitute the value of…
Q: A CI is desired for the true average stray-load loss µ (watts) for a certain type of induction motor…
A: (a) Obtain the 95% confidence interval for the population mean. The 95% confidence interval for the…
Q: The rejection region for a 5% level test of Ho : µ 2 10 versus H1 : µ < 10 is X < 7.9. Find the…
A:
Step by step
Solved in 2 steps with 1 images
- In a clinical study, a random sample of 540 participants agree to have their blood drawn, which is to be examined for the presence of antibodies against a certain contagious disease. It is found in 22% of the blood samples, which experimenters hope to extrapolate to the general population. From this random sample, 10 participants' blood samples are selected at random. If X is the number of samples out of the 10 who have these antibodies, what can we say about X? A. The sample size is not large enough for us to approximate X using a normal distribution B.The expected value of X is 22 C. X can be approximated using a normal distribution in lieu of a binomial distribution D. X has a sampling distribution that is normalSuppose insurance agency services customers who have both a homeowner’s policy and an automobile policy. For each type of policy, a deductible amount must be specified. For an automobile policy, the choices are TZS100 and TZS250, whereas for a homeowner’s policy, the choices are 0, TZS100, and TZS200. Suppose also that an individual is selected at random from the agency’s files. Let X = his deductible amount on the auto policy and Y = his deductible amount on the homeowner’s policy (a) What are the possible (X, Y) pairs? (b) Suppose the joint probability mass function is given by the insurance company in the accompanying joint probability in the following Table Table: Discrete Joint Probability Distribution for X and Y P(x,y) 0 100 200 X 100 0.2 0.10 0.2 250 0.05 0.15 0.3 What is p (100, 100) What is P (Y greater than 100)?Suppose that a magazinemagazine predicted that Candidate A would defeat Candidate B in a certain election. They conducted a poll of its subscribersits subscribers with a response rate of 2424%. On the basis of the results, the magazinemagazine predicted that Candidate A would win with 57% of the popular vote. However, Candidate B won the election with about 62% of the popular vote. At the time of this poll, most subscribers to the magazinesubscribers to the magazine belonged to the party of Candidate A. Name two biases that led to this incorrect prediction.Choose the correct answer below. A.Nonresponse bias: The low response rate caused bias.Response bias: The way the poll was administered showed bias. B.Sampling bias: Using an incorrect frame led to undercoverage.Nonresponse bias: The low response rate caused bias. C.Sampling bias: Using an incorrect frame led to undercoverage.Response bias: The way the poll was administered showed bias. Click to select your answer.
- At the Blood Bank, they know that O+ blood is the most common blood type and that 40% of the people are known to have O+ blood. Blood type A- is a very scarce blood type and only 6% of the people have A- blood. Half of the people have blood type A or B. Let: X= number of people who have blood type O+ Y= number of people who have blood type A- Z= number of people who have blood type A or B Consider a random sample of n=9 people who donated blood over the past three months. a) The expected number of people with blood type O+ is _____and the expected number of people with blood type A- is ______Round your answers to 2 decimal places. b) Calculate the following probabilities: P(X=5)=_________ Round your answer to 4 decimal places. P(X>2)=_________ Round your answer to 4 decimal places.When looking at the data for graduate school admissions between men and women, it is shown that about 45% of men are admitted but only 38% of women. However, when the data is broken down by school it turns out that, within each school, the women are admitted at higher rates than the men. This could happen because I. The women apply in higher numbers to schools with lower acceptance rates. II. The women apply in higher numbers to schools with higher acceptance rates III. The men apply in higher numbers to schools with lower acceptance rates IV. The men apply in higher numbers to schools with higher acceptance ratesA certain company produces fidget spinners with ball bearings made of either plastic or metal. Under standard testing conditions, fidget spinners from this company with plastic bearings spin for an average of 2.7 minutes, while those from this company with metal bearings spin for an average of 4.2 minutes. A random sample of three fidget spinners with plastic bearings is selected from company stock, and each is spun one time under the same standard conditions; let x¯1x¯1 represent the average spinning time for these three spinners. A random sample of seven fidget spinners with metal bearings is selected from company stock, and each is likewise spun one time under standard conditions; let x¯2x¯2 represent the average spinning time for these seven spinners. What is the mean μ(x¯1−x¯2)μ(x¯1−x¯2) of the sampling distribution of the difference in sample means x¯1−x¯2x¯1−x¯2 ? 3(2.7)−7(4.2)=−21.33(2.7)−7(4.2)=−21.3 A 3−7=−43−7=−4 B 2.7−4.2=−1.52.7−4.2=−1.5 C…
- There are X-Mart and Y-Mart convenience stores. It is assumed that each customer purchases once a week at one of the two supermarkets (but not both). In a study, a sample of 100 buyers was taken for 10 weeks. From this research it is known that if buyers go to X-mart store one week, 85 people will still buy at X-mart store the following week and if buyers go to Y-mart store one week, 70 people will still buy at Y-mart store. mart the following week. 1. Make a table and matrix of transition probabilities. 2. If John purchases at X-mart in the first week, what is the probability that Bob purchases at X-store in the third and fourth weeks?If X1, X2, ... , Xn constitute a random sample from anormal population with μ = 0, show that ni=1X2inis an unbiased estimator of σ2.Each of 13 refrigerators of a certain type has been returned to a distributor because of an audible, high-pitched, oscillating noise when the refrigerators are running. Suppose that 10 of these refrigerators have a defective compressor and the other 3 have less serious problems. If the refrigerators are examined in random order, let X be the number among the first 9 examined that have a defective compressor. ***Please solve both parts or do not attempt this problem.*** (a) Calculate P(X ≤ 7). (Round your answer to four decimal places.) (b) Determine the probability that X exceeds its mean value by more than 1 standard deviation. (Round your answer to four decimal places.)
- Suppose that the random variables X1,...,Xn form a random sample of size n from the uniform distribution on the interval [0, 1]. Let Y1 = min{X1,. . .,Xn}, and let Yn = max{X1,...,Xn}. Find E(Y1) and E(Yn).From historical data at a local restaurant indicate that 60% of customers order coffee, 15% order soft drinks, and the remaining order water. The owner of the restaurant is planning on opening a new restaurant for the purpose of stocking enough of various drinks, wants to know if the proportions are the same for his new restaurant as they were for his original restaurant. In a sample of 1000 customers at the new restaurant, 550 ordered coffee, 190 order soft drinks, and the remaining simply wanted water. At the 5% level of significance, does it appear the proportions have changed?A congressional committee is composed of 10 members: 6 Republicans and 4 Democrats. On any given vote, members vote independently. Whereas Republicans always vote their party line, Democrats vote their party line with probability .8, and vote Republican with probability .2. On a rainy day only 3 committee members (selected w/o replacement) were present. Let X = number of Democrats present Y = Number who voted Democratic that day Find the marginal pdf of X, i.e., P[X=k] for k=0, 1, 2, 3. Display E[X] and VAR[X]. Determine the conditional probability that P[ Y=j | X=k] for k=3 and j=0,1,2,3 Display the table of joint probabilities fX,Y(i,j) for 0 ≤ j ≤ i, i=0,1,2,3 Display the marginal pdf of Y. Is it recognizable? Compute E[Y]and VAR[Y]. Determine the conditional expectation of Y given that X=x, for x=0,1,2,3.…