Question: What is the probability that all 7 Perfect Moves dancers advance to the finals? Backfround: Seven dancers from Perfect Moves dance studio signed up for a competition. A total of 25 dancers compete and the top 7 advance to the finals.

Q: A small college has been accused of gender bias in its admissions to graduate programs. a. Out of…

A: The provided information is as follows:The data set is given as…

Q: A wedding party of 15 people is lined up in a random order. Every way of lining up the people in the…

A: The provided information is as follows:The total number of people lined up in the random order for…

Q: Listed below are numbers of Internet users per 100 people and numbers of scientific award winners…

A: The data related to the numbers of Internet users per 100 people and the numbers of scientific award…

Q: A bag contains 24 marbles, of which 6 are blue and 8 are green. One marble is drawn from the bag.…

A:

Q: binomial random variable random variable X reveals μ = 20 and σ^2 =  4. Calculate probability that X…

A: Answer,The population mean = 20The population variance = 4

Q: Dengue-fever viruses are carried by mosquitoes. There are several different serotypes of the dengue…

A: The proportion of the mosquito carrying serotype :The proportion of the mosquitoes carrying serotype…

Q: A barn has 12 black cats and 12 white cats. A farmer selects cats at random without looking at them…

A: The provided information is as follows:There are a total 12 black cats and 12 white cats.

Q: 2. Assume that tomatoes intended for commercial sale have weights that are equally likely to be…

A: To determine the probability that the bags weigh more than 9 pounds, we need to first calculate the…

Q: If you are dealt 7 cards from a shuffled deck of 52 cards, find the probability of getting four…

A: From the provided information,We are dealt 7 cards from a shuffled deck of 52 cards.Total cards =…

Q: Consider the following table containing the betting spreads and actual spreads from 15 randomly…

A: The betting spreads and actual spreads from 15 randomly selected football games…

Q: The Sorry State Lottery requires you to select five different numbers from 0 through 58. (Order is…

A: The provided information is as follows:The Sorry State Lottery requires you to select five different…

Q: Let A1, A2, A3, ..., An be a random sample with unknown mean Ai = μ, and unknown variance Var(X₂) =…

A: Let Xi be the random sample havingE(Xi)=μVar(Xi)=σ2Define estimatorΘ^=X¯2=(1/n∑k=1nXk)2Concept Used:…

Q: Suppose X Exponential (A). What is the distribution of eX for a constant e > 0? Justify your answer.

A: The provided information is as follows:The

Q: A 95% confidence interval for the weight of a small package of M&Ms is (47.82, 48.16) grams. Based…

A: Given,95% of confident interval,M&Ms = (47.82 , 48.16).

Q: Let X be a continuous random variable with the following distribution: kx f(x) = {ka if 0≤x≤ 5…

A:

Q: 8 XZ = 2 x 1/² √ √²². ². ² oy d ²² e e dy dx 2₁ 0 88 XZ = = 5 + + dyck why Sow disappones. ? 1 2 2 e…

A: Basically it is typo,It should be there.

Q: Strassel Investors buys real estate, develops it, and resells it for a profit. A new property is…

A: President and owner of Strassel Investors, believes if he purchases and develops this property, it…

Q: Let Xi ∼ Bernoulli(1/2), and let Yn = X1 + X2 + · · · + Xn. Use the central limit theorem to find…

A: Xi ~Ber(1/2) ; i=1,2,...,n

Q: There are 9 people taking part in a raffle. Bob, Elsa, Hans, Jim, Kira, Lena, Omar, Ravi, and Soo.…

A: Given that,There are 9 people taking part in raffleBob,Elsa,Hans,Jim,Kira,Lena,Omar,Ravi and…

Q: On my way out, Taylor told me that this is the PDF of her favorite distribution: √4x for 0 < x <…

A: The PDF is given as follows:

Q: (a) All the managers will be offered the opportunity. d (b) You will be offered the opportunity.

A: Here without replacement model use so formula for hypergeometric distribution is as follows,

Q: Assume a unit circle. Consider a triangle whose edges/corners fall on the boundary of the circle…

A: Here given that first assume a unit circle. Now, consider a triangle whose edges/corners fall on the…

Q: 3. Define the random variable R where R = X₁ + X₂ +L + Xy where the random variables X, are iid each…

A: The random variable R is defined as  where the random variables are iid each being Cauchy(3, 2) and…

Q: Let S1 and S2 be two independent collective risks, the first with a Poisson distribution composed of…

A: For S1:Claim amounts can be 0 (with probability 0), 50 (with probability π1), or 100 (with…

Q: The joint density function of X and Y is 2e-e-2y, 0 1,Y < 1}, (b) P{X < Y} and (c) P{X < a}. f(x, y)…

A: It is given that the joint density function of X and Y…

Q: An electrical firm manufactures light bulbs that have a length life with normal distribution, and…

A: Let X denotes the length life of bulb Mean =800Variance=9

Q: Select all the point estimators for ²: Oa² 08²= 02² 02² = 08² 02² = = = n = n Σ (x₂ - π) ² i=1 1²-12…

A: The objective is to identify the point estimator and unbiased point estimator for population…

Q: The annual demand for a product is 16,400 units. The weekly demand is 315 units with a standard…

A: a) Given information:Annual demand (D) = 16,400 unitsWeekly demand (Dw) = 315 unitsStandard…

Q: Suppose you are playing a game where you spin a spinner which can land on 8 different sections, then…

A: From the given information, the number of outcomes for spin a spinner with 8 sections is 8.

Q: Just like we went from a single to a double integral, we can add another dimension to create a…

A: Let inside the following region E and 0 elsewhere.The region E is defined as the region under the…

Q: = You are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample…

A: Sample size (n)=35Standard deviation σ=4.6 hour Margin of error =0.5At 90% confidence level Formula…

Q: Two different box-filling machines are used to fill cereal boxes on an assembly line, which affects…

A: It is given that the population standard deviation of the weight of the product for both machines is…

Q: A survey of all the shopping malls in your region yields the following probability distribution,…

A: X is the number of movie theater screensAnd p is the probability.

Q: A card is randomly selected from a deck of 52 playing cards, find the probability that it is i)A red…

A: Given,Total number of cards, n = 52We know that,Number of red card in a deck, n(red) = 26Number of…

Q: Because P(A n B) has been defined as x, and we calculated the value of P(A n B) = P(A) P(B) to be x²…

A: The provided quadratic equation for is, The objective is to calculate two values of that represent…

Q: 13. In a quality control analysis, the random variable X represents the number of defective products…

A: Given that the random variable X represents the number of defective products per batch of 100…

Q: A curious high school student has asked for help interpreting data they found on how many licks it…

A: sample size(n)= 33Mean ()= 268standard deviation (s)= 14confidence level=90%

Q: The cash operating expenses of the regional phone companies during the first half of 1994 were…

A:

Q: 12 % 8 % -4% Cold Drinks ShopWhat is the expected return of investing in an Ice Cream Shop?

A:

Q: An engineer had 12 red washers and 16 blue washers in his tools box. He required 6 washers to fix a…

A: The engineer had 12 red washers and 16 blue washers.

Q: Let X₁,···,Xn ~ N(µ₁,12) and Y₁,.,. populations. Suppose x = 14.32 an for μ₁ −μ₂ is (a). If we want…

A: Range of the sampling distribution is smaller than the range of the original population .

Q: When p > 1/2, a popular gambling system, known as the Kelly strategy, is to always bet the fraction…

A: Consider a gambler who at each gamble either wins or loses his bet with probabilities  and…

Q: Q1) A discrete random variable x has the probability distribution p(X = k) for occurrence of x as…

A: We have given a discrete random variable.x       0  1    2   3  p(x)   k  2k 3k 4kWe have to…

Q: A New York Times article reported that a survey conducted in 2014 included 36,000​adults, with…

A: Given,According to the 2014 survey, proportion of success is p = 3.71% = 0.0371Confidence level, C =…

Q: The lowa Wolves are scheduled to play against the Maine Red Claws in an upcoming game in the…

A: Points of the players are represented as:PlayerIowa WolvesMaine Red Claws1[5, 20][6, 12]2[7, 20][15,…

Q: A survey asked, "How important is it to you to buy products that are made in America?" of the 600…

A: Suppose p is the true population proportion of people, who say that American products are important…

Q: Let X = hourly median power (in decibels) of received radio signals transmitted between two cities.…

A: Given that,  be the hourly median power (in decibels) of received radio signals transmitted between…

Q: poker hand contains exactly one ace? (b) What is the probability that a five-card poker hand…

A: Solution

Q: The weather on any given day in a particular city can be sunny, cloudy, or rainy. It has been…

A: The weather on any given day in a particular city can be sunny, cloudy or rainy.It has been observed…

Q: Let X be a random variable with CDF Fx(z). Find the CDF of aX+b first for a > 0, then for a < 0.

A: Solution-:We define Y=a*X+bWe want to find the CDF of new random variable Y given the CDF of random…