Prove that: o²x = E {X²} - [E{X}]² = M2 - M1²

Q: The sales for each of 200 salespeople were recorded one month. Then some of the salespeople took a…

A: The sales for each of 200 salespeople were recorded one month

Q: The scheduling board at the SEA-TAC airport suggests that the flight time between Seattle and San…

A: Given that distribution is uniform a = 2 hours = 2*60 = 120 minutesb = = 2*60 + 30 = 150 minutes…

Q: Find the z-scores for which 80% of the distribution's area lies between -z and z. Click to view page…

A: From the provided information,80% of the distribution's area lies between -z and z.

Q: Identify the reasons the following statements are incorrect. Not all reasons will be used.…

A: Correlation is used to find the relationship between two quantitative variables. The range of…

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

A:

Q: Use the Peano Axioms to prove each of the following. (a) 12 • (b) 1 3 and 2 = 3 ●

A: The Peano Axioms are usually formulated as follows:0 is a natural number.For every natural number n,…

Q: Find the indicated z-scores shown in the graph. Click to view page 1 of the table. Click to view…

A: The graph of the standard normal distribution is given.

Q: Three balls are to be randomly selected without replacement from an urn containing 20 balls numbered…

A: To calculate the probability that at least one of the three drawn balls has a number as large as or…

Q: In 100 trials of this​ experiment, we expect about _______ to result in no more than 4 adults who…

A: n=15 p = 0.45

Q: An insurance company sells a $19,000, eight-year term life insurance policy to an individual for…

A: The amount company has to pay if the individual dies = $19,000The probability the individual will…

Q: builtrite has calculated average weekly daily sales to be 80000 with a standard deviation of 12000.…

A: Mean()=80000standard deviation()=12000 one store manager made a bet with another store manager that…

Q: Do bears treat their cubs equally? A random sample of 50 caretaking acts reveals that a bear with 3…

A: This is a problem of hypothesis test on chi- square test for Goodness  of fit,so we haveThe…

Q: Find the z-score that has 70.5% of the distribution's area to its right. he z-score is Round to two…

A: X~N(0,1)X follow with mean zero and standard deviations is 1

Q: You have a sample with the following scores: 2, 4, 6 What is the probability of obtaining such a…

A:

Q: Let X1,...,Xn be a random sample from a distribution with mean μ and variance σ2. Find the value of…

A: X1,X2, X3,...Xn are random variablesE(Xi) = Var(Xi) =

Q: Let (x1, x2,,xn) be i.i.d. samples from a distribution with mean μ and variance o2. Consider the…

A: Xi ~ N((μ,σ2) ; i=1,2,...,n

Q: randomly chosen consecutive cars on a freeway during a period of heavy flow (sec). Suppose that in a…

A: Let X has a pdf

Q: At a high school, 64 students play video games during their free time, 74 students ride skateboards,…

A:

Q: estaurant in Ohio, the number of minutes that diners spend at the table has a major impact on the…

A: X~N( μ , ?)μ=89 , ?=17Z-score =( x - μ )/?

Q: 7. A light sensor uses a photodetector whose output is modeled as a Poisson random variable X, with…

A: The provided information is as follows:The ..The sensor triggers the alarm if .

Q: for part ii) why was for the probability of 6 or more incidents in one month, 0.12 and 015 used? is…

A: ii) Using the given table, the probability of there was atleast 6 safety incidents per month is…

Q: Instructions: Answer all questions. Show all working. 1. One hundred persons were asked, "Do you…

A: Let's create a contingency table based on the information provided. The table will have two…

Q: Use the sample data and confidence level given below to complete parts ( a ) through ( d ) . A…

A: sample size(n)=1003who said "yes"=574confidence level=99%

Q: 2. A retailer for a petroleum product sells a random amount X each day. Suppose that X, measured in…

A: Given a retailer for a petroleum product sells a random amount X each day. Suppose that X, measured…

Q: Help please: Alice throws darts at a circular target of radius r and is equally likely to hit any…

A: Here given that Alice throws darts at a circular target of radius r and is equally likely to hit any…

Q: The following observations are on stopping distance (ft) of a particular truck at 20 mph under…

A: The formula to calculate the sample mean is,The formula to calculate the standard deviation is,The…

Q: 6. Ten cards are dealt from a standard deck. (a) What is the expected number of queens? (b) What is…

A:

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

A: The z-score that corresponds to P78

Q: You are locked in a dungeon. By the door are three boxes: one black, one white and one red. The…

A: Given statements on the boxes are:Black Box: "The key is not in the white box."White Box: "The key…

Q: X₁ ~ N(0,1), X₂ ~ N(0,4), X3 ~ N(5,9), P = P(-2≤X; ≤2), j = 1,2,3 then ( ). A. P1 > P2> P3 B. P₂> P₁…

A: X1 ~ N(0,1), X2 ~N(0,4) and X3 ~N(5,9)

Q: What is the probability that the sum of the numbers is 40?

A: Diane rolls two fair twenty-sided dice (with one number from 1, 2, 3,..., 19, 20 on each of the…

Q: (c) What value (in hr) is such that exactly 50% of all specimens have lifetimes exceeding that…

A:

Q: 4) Environmentalists worry that the overconsumption of plastics may lead to catastrophic…

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

Q: A New York Times article reported that a survey conducted in 2014 included 36,000 adults, with 3.68%…

A: Survey conducted in 2014 included 36000 with 3.68% of them being regular users of e-cigarettesMargin…

Q: 6. Suppose that a discrete random variable X takes all positive integer values {1, 2, 3, 4, …}, with…

A:

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: The population mean and standard deviation are given below. Find the required probability and…

A: X~N( μ , ?)μ=22    , ?=1.22    ,n=67Z-score =( x - μ )/?

Q: Help pls: Suppose X ∼ Exp(λ). Find Var(X).

A: X~Exp(λ)

Q: Jse a table of cumulative areas under the normal curve to find the z-score that corresponds to the…

A: Z be the standard normal distributionP(Z<z)=0.052

Q: Suppose X Hypergeometric (N, b, n). Show that if N, b, n approach in a way such that →p and Nb → 1 –…

A: Hypergeometric Distribution: Understand the probability mass function of the hypergeometric…

Q: The time between accidents at a busy intersection has a Exponential distribution with mean of 0.2…

A: Mean=0.2x~Exponential()F(x)=P(Xx)=

Q: When three friends go for coffee, they decide who will pay the check by each flipping a coin and…

A: The distribution follows a Geometric distribution (i.e. )The total number of outcomes (i.e. three…

Q: Suppose that the waiting time X (in seconds) for the pedestrian signal at a particular street…

A: The random variable   represents the waiting time for the pedestrian signal. The PDF of random…

Q: 1. X and Y have the following joint pdf: fx,y(x,y)= Y Find the pdf of Z== e-(2x+μy) x ≥ 0, y ≥ 0,…

A: f(x,y)=λμe−(λx+μy) ; x,y≥0

Q: f(x) = {o otherwise (a) Find the value of c which makes this a valid probability density function.…

A: According to the Bartleby guidelines experts solve only one question and maximum three subparts of…

Q: a. Find the standard error comparing the sample means. Interpret. The standard error is se=

A: A recent study evaluated how addicted teenagers become to nicotine once they start smoking. The…

Q: A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll,…

A: It is given that x = 556n = 914Confidence level = 95%

Q: A firm has 25 senior and 26 junior partners. A committee of three partners is selected at random to…

A: A firm has 25 senior and 26 junior partners.

Q: and P(EF)=0.41. Find the following:

A: P(E)=0.73 ,P(F)=0.57 and P(E ∩ F)=0.41

Q: The United States Senate has 100 members. Suppose that there are 54 Republicans and 46 Democrats. A…

A: