Random Variable XDirections: Compute the expected value, variance, and standard deviation forrandom variable X whose probability table is given below:Possible Outcome 8 10 12 140.1 0.4 0.4 0.1ProbabilityProbability Table for X1. The Expected Value of X is E(X)2. The Variance of X is Var(X)3. The Standard Deviation of X is Std(X)Random Variable YDirections: Compute the expected value, variance, and standard deviation forrandom variable Y whose probability table is given below:Possible Outcome 8 10 12 14Probability 0.3 0.2 0.2 0.3Probability Table for Y1. The Expected Value of Y is E(Y)2. The Variance of Y is Var(Y)3. The Standard Deviation of Y is Std(Y)

The probability of the random variables X and Y are given…

Answered: Random Variable X Directions: Compute…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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An automotive center keeps track of customer complaints received each week. The probability distributions of complaints are shown below. The random variable, xi, represents the number of complaints, and p(xi) is the probability of receiving xi complaints for two of the stores. The cost impact of each complaint is believed to be y=$10x3 where x is the number of complaints. Store A xi 0 1 2 3 4 5 6 p(xi) 0.10 0.15 0.20 0.25 0.15 0.10 0.05 Store B xi 0 1 2 3 4 5 6 p(xi) 0.10 0.15 0.25 0.22 0.13 0.08 0.07 Sample from these distributions to compute the total number of complaints (store A+B) per week for 52 weeks.
Probability Scores 0.05 3 0.05 6 0.05 7 0.45 11 0.4 14 Find the variance of the above random variable random variable.
find mean and mode
pls solve bcd Find the expected value of each random variable: a. x 10 20 30 P(X=x) 0.3 0.5 0.2 b. x 2 3 4 5 P(X=x) 0.3 0.4 0.2 0.1 c) Find the standard deviation of the random variables in part(a).d) Find the standard deviation of the random variables in part(b
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statistic
Probability Scores 0.15 1 0.1 2 0.15 8 0.05 9 0.4 13 0.15 14 Find the variance of the above random variable random variable.
Directions: Compute the expected value, variance, and standard deviation for random variable X whose probability table is given below: Possible Outcome -1 0 1/7 1/7 Probability Probability Table for X 1. The Expected Value of X is E(X) 2. The Variance of X is Var(X) 3. The Standard Deviation of X is Std(X) 1 2 5/14 5/14
Practice Exercise Classify the following random variables as discrete or continuous. The number of detective ( facturer Paen ve The weight of nowherne soon in a hospital The number ofe ngs in a family of a region 4. The amount of paint utilized in a building project 5. The number of dropouts in a school district for a period of 10 years 6. The speed of a car 7. The number of female athletes 8. The time needed to finish the test 9. The amount of sugar in a cup of coffee 10. The number of people who are playing LOTTO each day
Expected Value and Variance: A stock market analyst predicts the following returns for a particular stock: RETURN % PROBABILITY -10 0.2 0 0.5 10 0.3 Calculate the expected return and the variance of the returns.
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Test for TB TB absent TB present Negative 1739 8 Positive 51 22 Data for TB testing using X-ray imaging Table shows the results of using X-ray imaging as a diagnostic test for tuberculosis in patients with known TB status. Use it to answer the questions below. 1. Calculate the marginal probabilities of the individual random variables, i.e. the probability of positive and negative X-ray test results, and of TB being present and absent. 2. Find the probability of positive result given that TB is absent (false positive rate) and the probability of a negative result given that TB is absent (specificity). 3. Find the probability of negative result given that TB is present (false negative rate) and the probability of a positive result given that TB is present (sensitivity). 4. Find the probability that a person who tests positive actually has TB (probability of TB present given a positive result). 5. Find the probability that a person who tests negative does not have TB (probability of no TB…

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