The variable X and Y are connected by equation aX + bY + c = 0. Show that the correlation between them is – 1 if the signs of a and b are alike and + 1 if they are different.

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A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

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A: The values provided in the question are as follows : 18 % of the 200,000 students who took part in…

Q: A simple random sample from a population with a normal distribution of 106 body temperatures has…

A: normal distribution n = 106 x¯ = 98.50s = 0.6498 % CI for σ = ?

Q: 34. What should I buy? A study conducted by the Pew Research Center reported that 58% of cell phone…

A: binomial probability distribution has used to calculate the probability.

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Q: Respondents Sex Age Smoking Status Exercise Weight IQ Score 1 Female 27 Moderate Light 120 118 2…

A: Given information: n=50Variable=Weight

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Q: Find the power function that models the data in the table below. 1 X 2 3 4 5 6 7 8

A: Hi! Thank you for the question As per the honor code, We’ll answer the first question since the…

Q: 10. Suppose that the probability of giving birth to an albino mouse is 0.45, the probability of…

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Q: From the definition, derive the moment generating function, Mx (t), for X with PDF ƒ(x) = { 2 0 2e…

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Q: A large chemistry course took their final exam. The mean was 75 with a standard deviation of 8. a)…

A: Given: Population mean    μ=75 Population standard deviation σ=8 Let X ~ N(75, 82)

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Q: X and Y are two random variables with variances of and of respectively and r is the coefficient of…

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Q: Anita's, a fast-food chain specializing in hot dogs and garlic fries, can monitor how many customers…

A: Given,n=4p=0.45q=1-0.45=0.55Let X=no.of customers will order food for delivery.X~Binomial(n=4 ,…

Q: Respondents Sex Age Smoking Status Exercise Weight IQ Score 1 Female 27 Moderate Light 120 118 2…

A: Hint: In excel, the median is calculated by using the median() function and selecting the data…

Q: How did you come up with 77?

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Q: What is the sample standard deviation of the following numbers? 8, 3, 6, 2, 1

A: Given: Sample size n = 5 Formula Used: Sample standard deviation s = ∑Xi-X2n-1 Where is a sample…

Q: Task 3 Generate a column chart with the States showing as X-axis. Create a chart title "Units…

A: Please find the explanation below. Thank you.

Q: How many ways can an IRS auditor select 5 of 10 tax returns for an audit?

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Q: 2. In a class, 15% of the students is expected to fail. Examination marks are roughly distributed,…

A: Given Mean=72 Standard deviation=6 15% of students is expected to fail.  Data is roughly…

Q: X = 2,865  μ = 2,922   ? = 81 What is Z?

A: x = 2865 μ = 2922σ = 81z =?

Q: The mean life of a person who has had a heart transplant is about 12 years. Find the probability…

A: Answer: From the given data, Mean life of a person who has had a heart transplant is = λ = 12 years…

Q: Step 1 of 3: What is the weight of the lightest person in the group?

A: The data on weights for a group of people is given by 91, 91, 93, 96, 97, 104, 106, ...........,176,…

Q: Find the range of the given data: 63,83,55,78,65,98,45,32,66

A: It is given that  63, 83, 55, 78, 65, 98, 45, 32, 66

Q: Anita's, a fast-food chain specializing in hot dogs and garlic fries, keeps track of the proportion…

A: From the given Data we can see n=50,p=0.48 a) Let x be the number of customers who order their food…

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A: It is given that an ordinary coin is tossed 3 times.

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A: From the provided information, Value of x P (X = x) 1 0.21 3 0.19 4   5 0.27 6

Q: There are 20 identical looking packets of white powder. 8 of them contain cocaine and 12 do not.…

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A: Rule = 50%-34%-14% Mean = 81 seconds Standard deviation= 8 seconds

Q: When Z = -1.2, M = 21.6, and s = 1.5, what is X?

A: Answer: From the given data, Z value = -1.2 Mean (M) = 21.6 Standard deviation (s) = 1.5

Q: small liberal arts college in the Northeast has 150 freshmen. Fifty of the freshmen are education…

A: Given that  n = 30 , N = 150 , K = 50  30 freshman are randomly selected (without replacement). So…

Q: Of the items produced by a factory, 40% come from Line 1 and 60% come from Line 2. 5% of the items…

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Q: what does being in the 60th percentile mean?

A: Given that 60th percentile   Let a student got 60th percentile in a exam

Q: Q6 Let X be a random variable with mean μ and suppose the expected value E[(X - μ)²] exists for some…

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Q: A company wants to hire a software engineer, an administrative assistant, and a sales…

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Q: Variables                        Mean                   SD            Honesty              Profanity…

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Q: 11) Listed below are the amounts of time (in months) that the employees of a restaurant have been…

A: It is given that the sample data 1, 5, 6, 8, 11, 14, 17, 46, 61, 90, 99, 126, 143, 167 The data is…

Q: A computer reseller made the graph below. In what way(s), if any, is this graph misleading?

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Q: 4.98 HOTELS' USE OF ECOLABELS. Refer to the Journal of Vacation Marketing (January 2016) study of…

A: Given,mean(μ)=4.44standard deviation(σ)=0.82

Q: Round all answers to 4 decimal places. a. A bag contains 9 white marbles, 4 red marbles, and 5 green…

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Q: Create a 95% confidence interval for the population proportion of Orange candies.  sample size is…

A: From the provided information, Confidence level = 95% Sample size (n) = 30 Point estimate (p̂) =…

Q: A researcher selects a sample of 6 men and 11 women. She asks participants to rate the likelihood…

A: Given that  For Men  n1 = 6 , Mean = M1 = 2.1 For Women  n2 = 11 , Mean = M2 = 4.3

Q: ph as a cross-sectional study or a time-series study. Temperature (°F) Average Temperature in °F…

A: The diagram shows the month and temperature for each month.

Q: A laboratory in Oregon is interested in finding the mean chloride level for a healthy resident in…

A: Given,sample size(n)=150mean(x¯)=104population standard…