Find the quantity (deviance) for testing the hypothesis H0 and the pvalue

Q: How many permutations are there of 40 objects when taken 13 objects at a time, if a particular one…

A: Given that:The total number of objects: The objects taken at a time:

Q: If X is a binomial random variable and if np≥ 10 and n (1-p) ≥10, then X is approximately normal…

A: Given that X is a binomial random variable.If np>=10 and n( 1-p) >= 10,>=10, then X is…

Q: The recommended daily dietary allowance for zinc among males older than age 50 years is 15 mg/day.…

A: From the provided information,

Q: A variable has a population mean of μl: = 100 and a population standard = 27. deviation of = The…

A: From the provided information,

Q: 6) Scores on an examination are assumed to be normally distributed with mean 78 and variance 36.…

A: From the provided information,X~N (78, 6)

Q: 3. The continuous random variables X and Y have known joint probability density function fxy(x, y)…

A: Let X and Y have joint density function

Q: Given A-(1, 2, 3), B-(2, 4, 6, 8) and C- (2, 3, 5, 7) find n(AUBUC) using the sum rule.

A: Given thatSets :A = {1,2,3}B = {2,4,6,8} C = {2,3,5,7}

Q: magine that you want to estimate the average home value in your neighborhood.   The standard…

A: standard deviation  σ = $100,000.the maximum margin of error E=$45,000.

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

A:

Q: Q4: Two cards are drawn from an ordinary 52-card deck without replacement. Given that one of the two…

A: Let H1 be the event that the first card drawn is a heart and H be the event that one of the two…

Q: Suppose you roll a die until the first time you obtain an even number. Let X1​ be the total number…

A: Roll a die until the first time you obtain an even number.X1​ is the total number of times you roll…

Q: ALGEBRA 53 12 14 16 5 ENGLISH 10 HISTORY 24 a) What is the probability that a student is taking…

A:

Q: Let Z-N(0, 1) and X ~ N(2, 1). (a) Calculate E[Z¹]. (b) Calculate E[X4] (hint: try expressing X as a…

A: Given that

Q: .129 During an eight-hour shift, the proportion of time Y that a sheet-metal stamping machine is…

A: Given PDF of X is:Objective: Mean and Variance of C=10+20Y+4Y2

Q: Consider the following Venn Diagram, depicting the data from surveying random individuals passing by…

A: The given Venn diagram depicts the second language that individuals passing on the street speak…

Q: What are two tools which test how close the dispersion of data matches the distribution shape of a…

A: A normal curve, also known as a bell curve or Gaussian curve, is a specific shape that represents a…

Q: Racquet Centers, Inc. (RCI) is a small investment company. The company is considering building a new…

A: A decision tree is a graphical representation of possible outcomes based on different decisions.

Q: Let the joint density function of random variables (X, Y) be f(x, y) = -2x-3y (Ae ²x-³y, x>0, y>0 0,…

A: Given the joint density function of random variables :

Q: A study of the properties of metal plate-connected trusses used for roof support yielded the…

A: Denote μ1, μ2, μ3, μ4, and μ5 as the true mean stiffness index for plate lengths 4, 6, 8, 1, and 12…

Q: Size Cumulative weight (%) 1 2 2 14 5 50 10 80 15 92 40 99.5 60 99.9 Determine if…

A: The given data is of the size and cumulative weight: Size Cumulative weight…

Q: raffic engineers are investigating the high rate of fatal accidents at a lighted city intersection.…

A: 10% of the cars that are within 200 feet of the intersection when the light turns red pass through…

Q: Consider the following Venn Diagram, which was constructed based on the data from a survey of 222…

A: a)The Venn diagram of total 222 students, who have any of the three social media accounts, is…

Q: Use Bayes' theorem or a tree diagram to calculate the indicated probability. Round your answer to…

A: Given,P(X | Y1) = 0.7P(X | Y2) = 0.3P(X | Y3) = 0.2P(Y1) = 0.3P(Y2) = 0.1

Q: What is the probability of needing exactly 4 attempts to succeed in rolling a "6" on a 6-sided die?

A: Let X be the number of attempts to succeed in rolling a “6”.Given, a 6-sided die is rolled.

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

A:

Q: ew] (i) Find the mean and variance of X using the pdf. (ii) Find the moment generating function of…

A: Given the pdf: f(x) = { (1/6)e^(1/6x) ; x > 00; ew]

Q: Let X be a random variable that is uniformly distributed over the interval [0, 2π] and let Y =…

A:

Q: a striking fact that the first digits of numbers in legitimate records often ow a distribution known…

A: Givenn =1500We have that 1,2,3,digits P= p(x=1)+p(x=2)+p(x=3)   =0.301+0.176+0.125   =0.602 Mean = =…

Q: Let X be a continuous random variable with cumulative distribution function given by F(x)=-…

A: The CDF of X:-

Q: A snack-size bag of M&Ms candies contains 10 red candies, 12 blue, 7 green, 15 brown, 3 orange, and…

A: From the information, given that The total number of red candies=10Total number of blue candies =…

Q: Suppose that you draw two cards from a well-shuffled deck of 52 playing cards without replacement.…

A: Two cards are drawn from a well-shuffled deck of 52 cards without replacement.

Q: A transmitter using 3-fold repetition coding uses the vector to represent a 0 0. to send a 1 bit.…

A:

Q: An urn contains 3 black, 2 red, and 3 green balls. A sample of 2 balls is selected from the urn with…

A: Given that an urn contains 3 black, 2 red, and 3 green balls. Total balls = 3+2+3 = 8A sample of 2…

Q: A person arrives at the side of a single lane, one way street as a car passes by. Consider this time…

A: It is required to find the probability that no cars pass by within a 2-minute period, the number of…

Q: A system consists of five components is connected in series as shown below. 5 2 As soon as one…

A: first two component have lifetime that are exponentially distributed with mean 109 weeks last three…

Q: Candidate A and Candidate B have a hotly contested race for Florida's electoral votes. Suppose each…

A: P=0.5003We have 8084000 voters in Florida

Q: 2. Let Xo, X₁,... be the Markov chain on state space {1,2,3,4} with transition matrix (1/2 1/2 0 0…

A: Given that  be the Markov chain on state space  with transition matrix:

Q: 4.1. Suppose X and Y are independent random variables, which are jointly continuous. 1. Show…

A: Suppose X and Y each have an exponential distribution with parameter .

Q: We are throwing darts at a disk (i.e. a filled in circle) shaped board of radius 5. We assume that…

A: The provided information is as follows:The number of times throwing a dart is .The radius of a…

Q: Once an individual has been infected with a certain disease, let X represent the time (days) that…

A: The pdf of the Weibull distribution is,The values of the parameter are ,  and .

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: Given a test for a virus with sensitivity = 0.94 and specificity = 0.98 is administered to a…

A: Given, sensitivity is 0.94 and specificity is 0.98. The probability of actually has the virus is…

Q: A machine can be in one of four states: ‘running smoothly’ (state 1), ‘running but needs adjustment’…

A: Take  to be the state of the machine in the morning of day  when .The states of the given Markov…

Q: Find the sample size needed to estimate the percentage of adults who can wiggle their ears. Use a…

A: Margin of error(E)=4%=0.04confidence level=99%

Q: D. The Swiss embassy has 65 employees. Of these employees, 47 speak German, 35 Speak Italian, and 20…

A: Given,Total employees = 65Number of employees speak German, n(G) = 47Number of employees speak…

Q: Assume the random variable x is normally distributed with mean μ = 85 and standard deviation o=5.…

A: The population mean is 85 and the population standard deviation is .

Q: (a) Use this equation to derive a more general expression for a 100(1-a) % CI for μ of which the…

A: Given,Let 0,\alpha_{2}>0 \)" data-mce-style="cursor: default;">α1>0,α2>0  with α1+α2=α…

Q: 6.5 Let X have the uniform distribution on [0,1]. That is, it has density f(x) = 1 for 0≤x≤ 1, and…

A:

Q: Suppose that a department contains 9 women and 15 men. How many ways are there to form a committee…

A: Given:Total women = 9Total men = 15Total committee members required = 7Condition: The committee must…

Q: cards 3. Select five cards without replacement from a deck of cards/Let X be the number of heart…

A: 3)Here given that, we have to select five cards without replacement from a deck of cards.Let, X be…