a) Var (e) = b) Var (e.) = ²√x, ²x²

Q: Consider a dice showing i with probability pi > 0 where i = 1, . . . , 6. The entropy of the…

A: This question deals with finding the probability distribution which minimizes the entropy of a dice…

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A: Consider the events: S: The product is successful. US: The product is unsuccessful. FS: The product…

Q: A graduate student is interested in whether journaling can affect grief and healing. For her study,…

A: i). This is a two tailed test ii) The critical region is/are  ±2.011 iii) The estimated standard…

Q: What are the Null and alternative hypotheses in the example of type 1 and type 2 error?

A: Type 1 error :  If null hypothesis is true but by mistake null hypothesis rejected than type 1 error…

Q: The discrete probability distribution is given by ? 0 1 2 3 ?(? = ?) 0 k 2k 3k i. Show that k = 1/6…

A: Let discrete pdf P(X=x) of a random variable X is given by, X 0 1 2 3 P(X=x) 0 k 2k 3k

Q: 1. What is the probability that exactly five computers are available at noon on Monday? 2. What is…

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

Q: -kt Newton's law of cooling indicates that the temperature of a warm object, such as a cake coming…

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Q: A population of values has a normal distribution with μ = 131.4 and σ = 57.2. You intend to draw a…

A: Given Population mean, μ=131.4 Population sd, σ=57.2 Sample size, n=154

Q: A company claims that their new product has an average lifespan of at least 5 years. A sample of 25…

A: given data n = 25x¯ =4.6s = 0.8α = 0.01claim : μ ≥5

Q: recent survey estimated that 19 percent of all people living in a certain region regularly use…

A: Given that : Estimate of error =1% sample proportion =19%

Q: Based on past records, a retail store manager knows that on average, 30 customers per hour come to…

A: Here the given information is Based on past records, a retail store manager knows that on average,…

Q: According to a 2009 Reader's Digest article, people throw away about 14% of what they buy at the…

A: Given that  Population proportion p=0.14 Sample size n =66

Q: The weather in Columbus is either good, indifferent, or bad on any given day. If the weather is good…

A: The transition matrix of change in weither is given as: P=GoodIndifferentBadGoodIndifferentBad0.4…

Q: I need help with the last two specifically.

A: Answer:- Given probability distribution table is, Using formulas Σ P(x) = 1  Mean , E(X) = Σ X*P(x)…

Q: Z0.975 = 1.96   What does the "0.975" represent? What does the "1.96" represent? Group of answer…

A: In statistics, the notation Z0.975 refers to the z-score that corresponds to a cumulative…

Q: Eyeglassomatic manufactures eyeglasses for different retailers. The number of days it takes to fix…

A: Given: The number of days it takes to fix defects in a pair of eyeglasses and their respective…

Q: As part of a water quality survey, you test the water hardness in several randomly selected streams.…

A: given data   sample size(n) = 23 sample standard deviation(s)  = 12construct 90 % ci for σ and σ2.

Q: A patient is classified as having gestational diabetes if their glucose level is above 130…

A: Given that Mean=M=133, Standard deviations=S=4 X~Normal(M=133, S=4)

Q: does the range and standard deviation remain unchanged because the addition of 7 is a constant so…

A: given data  mean = 74 median = 76.5 range = 65 standard deviation = 11 add 7 points to each score…

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

A: Given Population mean, μ=164.3 Population sd, σ=1.1 Sample size, n=25

Q: Consider a regression analysis with n=51 and four potential independent variables. Suppose that one…

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Q: The following random sample from some population is given: 2 6 4 2 6 6 4 4 4 Find the upper bound of…

A: Given data is2,6,4,2,6,6,4,4,4,2,4,4,6,2sample size(n)=14

Q: If only 7 of the 12 spins land in the blue region, do we have convincing evidence that the website’s…

A: Given that,  The spinners have two colored regions blue and yellow. P(blue) = prob. of success (p) =…

Q: 1. Assume that the random variable X is normally​ distributed, with mean μ=66 and standard deviation…

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Q: elicited the opinion of a number of experts about the change in the equilibrium temperature of the…

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Q: The following sample of pairs (x, y) is collected: 2 4 8 10 12 14 0 2 4 10 20 40 X y Find the slope…

A: From the provided information, x 2 4 8 10 12 14 y 0 2 4 10 20 40

Q: Polynomial Regression with Ordinary Least Square (OLS) *Please complete the TODOs. * !pip install…

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Q: According to Facebook, the mean number of community pages, groups and events that users are…

A: Given that  Sample size n=64 Sample mean=86 Sample standard deviation =48

Q: The probability is 0.45 that a traffic fatality involves an intoxicated or​ alcohol-impaired driver…

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Q: Suppose that a customer is purchasing a car. He conducts an experiment in which he puts 10 gallons…

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Q: For the following setting, (a) describe the parameter of interest, and (b) state the appropriate…

A: Given that: Population proportion, p=0.85 Sample size, n=100 Number of successes, x=75

Q: Please show all solutions and all steps. All final answers must be round up to four decimal places.…

A: given data P(rate up 5 star character) = p = 0.005sample size (n) = 145x = no. of copies rate up 5…

Q: 4-1.4. Let X₁,..., Xn be a random sample from a N(u, o2) distribution. Recall that (n-1)5² has a x²…

A: Given that X1, X2....Xn follows Normal distribution with N(μ, σ2)  We have to find the unbiased…

Q: In the initial test of the Salk vaccine for polio, 400,000 children were selected and divided into…

A: Given Silk Vaccine n1=2,00,000x1=33   Placebo n2=2,00,000x2=115 α=0.01

Q: In studying the responses to a multiple-choice test question, the following sample data were…

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Q: Test of mu = 195 vs < 195 The assumed standard deviation = 22.11 Variable N Mean StDev SE Mean…

A: Given that: Variable N Mean St. Dev SE Mean Weight 60 193.13 22.11 * The null and…

Q: There are six groups of plants receiving different fertilizer treatments, each with 23 samples. The…

A: Solution-: Given: SSBetweem=32.991,SSTotal=551.751 , Number of treatments (k) =6 (Each treatment has…

Q: You are conducting a Goodness of Fit hypothesis test for the claim that the 4 categories occur with…

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Q: In a particular survey of internet users, 3704 respondents say that they use social networking sites…

A: The total number of respondents who use social networking sites is, n(uses a social networking site)…

Q: X; 0 2 5 The empirical distribution of some variable X is given by the following table. (x, are…

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Q: Answer the question. If a procedure meets all the conditions of a binomial distribution except that…

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Q: W Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain…

A: Given that: Mean number of hurricanes, λ=6.1

Q: The life of light bulbs is distributed normally. The standard deviation of the lifetime is 38 hours…

A: Answer: From the given data, mean(μ) = 480 standard deviation (σ) = 38 X~Norma(480,38)

Q: The number of tornadoes in Wellsville County follows a Poisson distribution with an average of 2.2…

A: Given that  The average of poisson probability distribution is λ=2.2 a year.

Q: Provide an appropriate response. Samples of size n = 1500 are randomly selected from the population…

A: The sample size n = 1500 is large and the Population proportion of odd is 5/10= 0.5

Q: You may need to use the appropriate appendix table or technology to answer this question. At 95%…

A: Suppose p is the population proportion.

Q: The following sample of pairs (x, y) is collected: x 0 1 0 5 5 5 6 y 2 1 2 5 3 4 Find the…

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Q: shows a sample of small motors that was inspected and classified into sets A, B and C. There were 8…

A: Given the Venn diagram that shows a sample of small motors that was inspected and classified into…

Q: Flying Home for the Holidays, On Time The dataset DecemberFlights contains the difference between…

A: From given  n1=1000x1=67n2=1000x2=160 so, p^1=x1n1=671000=0.067p^2=x2n2=1601000=0.16