Prove the discrete case for Let X be a random variable with pdf f(x). If a and b are any two real numbers, then E(aX + b) = aE(X) + b.

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A:

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A: From the provided information, Population proportion (p) = 0.25 A researcher is skeptical of this cl...

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A: According to the given information in this question We have used minitab according to given steps ar...

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A:   iv. Use your results above to comment on the shape of the distribution. Give a reason for youransw...

Q: Using the data below, tind the: I. (a) mean (b) median () mode (d) QI (e) Q3 () D7 (g) PIO (h) varia...

A:   Class Frequency 1 - 10 3 11 - 20 6 21 - 30 8 31 - 40 10 41 - 50 12 51 - 60 10 61 ...

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A: Given that  Degree of freedom =df =12 Sample size n =30 , n=25  Find to critical value for chi squar...

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Q: Five coins are tossed. How many simple events are in the sample space?

A: Here Given  5 coins are tossed

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A: From the provided information, Sample size (n) = 310 From which 113 adults indicated that they suppo...

Q: The following are scores of students in their quiz: 1, 2, 3, 4,5. 1. Compute the population mean (µ)...

A: NOTE-AS PER POLICY I HAVE CALCULATED FIRST QUESTION ONLY   Now here given student scores 1,2,3,4,5

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Q: A simple random sample of 120 vet clinics in the Midwest reveals that the vast majority of clinics o...

A: Given that  Sample size n =120 Favorable cases x =88 Sample proportion p^=x/n  =88/120 =0.7333

Q: A. struct a scatterplot The linear correlation coefficient r is (Round to three decimal places as ne...

A: Scatter plot of given data :  

Q: 1. A marketing manager for a popular supermarket chain is investigating how the position of a new pr...

A: Given in the table,  MSE= 85  Sample sample size is n= 26  There are 4 groups so k= 4 t at a/2= 0.05...

Q: chickens. He records his harvest of eggs for 20 days. He finds that the average per day is 290 eggs ...

A: Here use single sample t test 

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A: Given that  Sample size n =20 Population mean μ =12 Population standard deviation =5  

Q: Suppose that the age of students at George Washington Elementary school is uniformly distributed bet...

A:

Q: From the estimation of the number of aggravated assault (816,760) in 2015 at a 99% confidence interv...

A: Given that  99%confidence interval  (816,760)  

Q: Let kids denote the number of children ever born to a woman, and let educ denote years of education ...

A: kidsi=β0+β1educi+ui where  kids= number of children born to a womaneduc= years of education

Q: Fawns between 1 and 5 months old have a body weight that is approximately normally distributed with ...

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a...

Q: Young's modulus is a quantitative measure of stiffness of an elastic material. Suppose that for alum...

A: From the provided information, Mean (µ) = 70 GPa Standard deviation (σ) = 1.6 GPa X~N (70, 1.6)

Q: Suppose we have a fair spinner with the numbers 1,2, and 3 on it. Let X be the number of spins until...

A: Solution

Q: Watch your cholesterol: A sample of 290 patients between the ages of 38 and 82 were given a combinat...

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Q: Using the appropriate model, sample size n, and output below: Model: y = 6e + 61x1 + 62x2 + 63x3 + ɛ...

A: The objective is to find out total variation, unexplained variation, and explained variation from th...

Q: | How many 4-letters codes

A: Here Given  We have to choose 4 digit codes from total 9 (1,2,3,4,5,6,7,8,9)  

Q: Which one of the following statements is correct?   If you are given a sample percentage of 73%, yo...

A: We have the following statements 

Q: A box c_ontains 6 red balls and 2 blue balls. Ran_domly pick up 2 balls (one at a time) with  replac...

A: The probability of an event is the ratio of number of favourable outcomes to total number of possibl...

Q: 2. With the growth of internet service providers, a researcher decides to examine whether there is a...

A: Given that  We have to find  Spearman Rank correlation coefficient                                 ...

Q: A study was conducted at Virginia Tech to determine if certain static arm-strengthmeasures have an i...

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a...

Q: Suppose L, U is the 95% confidence interval of the mean of the amount of the soda in a can. If we us...

A: Given that  Suppose [L, U] is the 95% confidence interval of the mean of the amount of the soda in a...

Q: Santos takes the train into the city five days a week for work. For one work week, he kept track of ...

A: Given information- We have given that Santos takes the train into the city five days a week for work...

Q: Assuming 10% rate, 12 people are randomly selected. Find the probability that at least 10 in 12 peop...

A:

Q: Venn diagram

A: Given

Q: The following results were obtained from a Linear Regression Analysis. Predicted Miles = 37.2895 - 1...

A:

Q: A surprising fact: only 51% of all teens in Canada use a password on their mobile device. If a poll ...

A: Solution: Given information: μp^= 0.51  Mean of sample proportion σp^= 0.15 Standard deviation of sa...

Q: The President of the Farmers Association wants to know how the amount of fertilizer and the amount o...

A: The independent variables are water and fertilizer. The dependent variable is growth. We have to tes...

Q: Choose a prisoner at random. Find the following probabilities. R Part: 0 / 3 Part 1 of 3 The probabi...

A: The data is given by   High School College Neither Total Under 30 59 101 445 605 30 and over ...

Q: Encr cine: and Determinarnts of Determin the Rank folliwing 11 e matn.cen! 2. B= 2.

A: Given that  Matrices A and B are as follows:          We have to find rank and determine of the ma...

Q: Asample of Greendae universty studerts akes a siats esam and ter scores are summarzed below Irthe me...

A: Step 1:   Assume that μ defines the true mean scores in stats exam of general population.

Q: Unhappy HM0 patients. How likely are patients who file complaints with a health maintenance organiza...

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Q: equires women's heights to be between 58 in and 80 in. . Find the percentage of women meeting the he...

A: Women's Hight is with mean and standard deviation μ=63.8σ=2.2

Q: A large chain retailer purchases a certain kind of electronic device from a manufacturer. The manufa...

A: Given: The probability that the device is defective, p=0.03  

Q: It is impossible to make the probability of type I and type || error O in hypothesis testing. True O...

A: We have given that the statement about to the type I and type II error.

Q: Watching TV The 2012 general Social Survey asked a large number of people how much time they spent w...

A: Given

Q: Determine whether a normal sampling distribution can be used for the folowing sample statistics. If ...

A: From the provided information,

Q: Find the largest and smallest comparative salary amounts and calculate the​ z-scores for these amoun...

A: It is known that,  Z score is given by, Z-score= (X-mean)/standard deviation For comparative salary,...

Q: Use the given data to construct a 99% confidence interval for the population proportion p. x= 50, n=...

A: We have given that,  Sample size (n) = 70 and favorable cases (x)=50  Then,  We will find 99% confid...

Q: Annual income: The mean annual income for people in a certain city (in thousands of dollars) is 41, ...

A:

Q: For this study, we should use     The null and alternative hypotheses would be:       H0:H0:        ...

A: Given that  Sample size n =62 Sample mean =260 Standard deviation =30.3 NOTE:- According to bartleby...