Please write to text formet answer but don't copy paste the answer A6. (a) Prove that for any discrete bivariate random (X, N) for which the first moments of X and N exists,E(X) = E[E(X|N)]

To prove thatE(X)=E(E(X/N) Formula UsedE(X)=∑i=1nxP(X=x)

Answered: 16. (a) Prove that for any discrete…

16. (a) Prove that for any discrete bivariate random (X, N) for which the first moments of X and N exists, E(X)= E[E(X|N)]

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 18E

See similar textbooks

Related questions

Q: The cost of textbooks is normally distributed with a mean of $239. You do not know the population…

A: Population mean of the cost of textbooks μ = $239Sample standard deviation s = $47Sample size n =…

Q: You have been asked to find if there is a correlation between the amount of calories per serving in…

A: We have given the data to find correlation coefficient what are the predictor and response variable…

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

A: Let X denote the length of the steel rods and given that X is normally distributed.Sample size,…

Q: A company reported that 76% of 1700 randomly selected college freshmen returned to college the next…

Q: The United States Bureau of Labor Statistics (BLS) conducts the Quarterly Census of Employment and…

A: According to the central limit theorem, for a large sample (>30) the sampling distribution of the…

Q: Price of Gasoline The average retail price of gasoline (all types) for the first half of 2005 was…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Using the command norm.s.dist or norm.s.inv determine what Z-value 45 percent of x values are…

A: Given: 45 percent of x values are greater than

Q: 6. You are given: Calculate ä kä k-19 1 1.00 0.33 2 1.93 0.24 3 2.80 0.16 4 3.62 0.11

A: Given

Q: A bag contains 1 gold marbles, 6 silver marbles, and 21 black marbles. Someone offers to play this…

A: We have given that a bag contains 1 gold marbles, 6 silver marbles, and 21 black marbles.Total…

Q: A simulated exercise gave n = 26 observations on escape time (sec) for oil workers, from which the…

A: Given that,

Q: The RAND() function in Excel returns a pseudo-random number between 0 and 1. If you enter this…

A: The RAND() function in Excel returns a pseudo-random number between and .We have to enter this…

Q: 1. What type of test was used to analyze these data 2. what sample size of this study 3. what is…

A: From the given summary tablesample size n=15Mean=6.4000standard deviation =0.91206standard error…

Q: Consider randomly selecting a student at a Universal University, and let V denote the event that the…

A: a) The event that the selected student has at least one of the two types of credit cards can be…

Q: Using R, find the least-squares regression line for predicting Percent from Distance. Provide the…

A: Given,a data set consisting of the distance from the nearest fire station, and the percentage of…

Q: fentists think that robots will play a crucial role in factories in the next several decades.…

A: Here Sample size n=503Favorable cases x=15

Q: The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year…

A: Given Data :Population Mean,μ = 3.40Population Standard Deviation,σ = 0.22

Q: If an individual is selected, find the probability that the individual's pressure will be between…

A: Mean=mu=120Standard deviation =5.6

Q: 5. Majority rule and efficiency Carlos, Deborah, Felix, Janet, and Amy share a five-bedroom house…

A: By the given information, we have1st part :The benefits receivedby Carios is $ 20by Deborah is $ 30…

Q: Use excel to obtain the test statistic and p-value. Make a decision about the null using the p-value…

A: The data set for the sleep and no sleep group,SleepNo sleep14813986913117109910131212811111491312The…

Q: Expected value: Mean: Variance: Standard Deviation: > Next Question

A: Given that,The pdf of X is,To find the expected value, mean, variance and sd of the data.

Q: Using the Binomial Distribution formula, compute the probability of X successes with the following…

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

Q: A sample of wait times in minutes to be seated at two popular restaurants is shown. Use the data and…

Q: Exercise 1) Your friend transmits an unknown value to you over a noisy channel. The noise is…

A: Your friend transmits an unknown value to you over a noisy channel. The noise is normally…

Q: In the country of United States of Heightlandia, the height measurements of ten-year-old children…

A: Mean ==54.4Standard deviation ==5.8Z score formula= (x-mu)/

Q: Suppose you run a regression y=alpha + beta*x + u. From your Stata output you found that the…

A: Given thaty=alpha + beta*x + u. From your Stata output you found that the estimated coefficient for…

Q: If n=25, (x-bar)=36, and s=19, construct a confidence interval at a 99% confidence level. Assume the…

A: From the provided information,Confidence level = 99%

Q: Add a new worksheet to your Excel file for problem 3. Problem 3- Football Players The weights (in…

A: Given the data on the weight of 52 randomly selected football players.Want to construct confidence…

Q: Allison and cicchetti studied sleep and 62 species of animals there measurements included the main…

A: Primate speciesNon-dreaming sleepDreaming…

Q: 3.33 4.67 8.67 5.33

A: The data is given on the demand for a product and the forecasting department's forecast.PeriodActual…

Q: It was recently reported that the heights of adults in Idaho are normally distributed with a mean of…

A: The given data is as follows:Population mean, Population standard deviation,

Q: Determine whether the statement is true or false. If it is false, rewrite it as a true statement. A…

A: Conditions of the Central limit theorem: The population is normal.The sample size is≥ 30. If the…

Q: Determine the critical values for these tests of a population standard deviation.

A: Given,chi-square tests with degrees of freedom and level of significance.Critical values are to be…

Q: On average, a pair of running shoes can last 18 months if used every day. The length of time running…

A: Given informationA pair of running shoes can last 18 months if used every day. The length of time…

Q: In a One-way Between Subject ANOVA, the number of levels the IV had was 3, and the within/error…

A: Given thatin a One-way Between Subject ANOVA, the number of levels the IV had was 3, and the…

Q: The researchers sought to explore the connection between dietary fat consumption and the incidence…

A: Let's calculate the risk of CVD events for each group and then the relative risk:1. **Risk of CVD…

Q: The average life expectancy for women in Australia calculates out at 89 years and the standard…

A: given mean=89standard deviation 8.2

Q: You are asked to evaluate 'Introduction to the Matrix' from the statistical data of the following…

A: We are asked to evaluate 'Introduction to the Matrix' from the statistical data of thefollowing…

Q: a) What is the misclassification rate for Table 1? b) What is the misclassification rate for Table…

A: The misclassification rate is a measure of how many instances are classified incorrectly in a…

Q: The golf scores for a school team were normally distributed with a mean of 68 and a standard…

A: Normal distributionPopulation mean : Population standard deviation : The probability that a golfer…

Q: The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 34…

A: From the provided information,

Q: A sample is collected with a M = 24. If a score X= 29 is equal to a z = 0.33, then: 1. What is the…

A: The given data is as follows:Sample mean,

Q: 6. The Poisson Distribution is given by Pn where > 0 is the mean and En=0 Pn = .1. The Stirling…

A: About Poisson DistributionDiscrete probability distribution function. Measures how many times an…

Q: Assume that a hypothesis test of the following claim will be conducted. A book company claims that…

A: Population mean=78.01NOTE: according to bartleby guidelines expert can solve maximum three subparts…

Q: Explain in a sentence or two why including a 2 million dollar home in a dataset that includes the…

A: Given:A dataset includes the values of homes of middle-class families and also includes a 2 million…

Q: 1. A program will be run with 25 different sets of input. Let 0 stand for the probability that an…

A: Given that conditional on , each run of the program will encounter an error with probability and…

Q: Find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of…

A: We have given that Mean() = 241 standard deviation () = 56 sample size (n) = 24

Q: Three treatment conditions using a sample of n = 5 in each treatment were analyzed and F was…

Q: Given the MGF of random variable X is M(t) = Select all that apply. There may be more than one…

Q: Stock Prices A random sample of stock prices per share (in dollars) is shown. Find the 80%…

A: The data shows the stock prices per share (in dollars)

Q: True or False? If X follows a continuous distribution over the entire domain of (-∞,+∞), then…

A: The given situation is true or false.

Question

Please write to text formet answer but don't copy paste the answer

A6. (a) Prove that for any discrete bivariate random (X, N) for which the first moments of X and N exists,
E(X) = E[E(X|N)]

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Understanding the problem

VIEW

Step 2: Proving that E(E(X/N)=E(X)

VIEW

Solution

VIEW

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here