QUESTION 8Suppose a discrete random variable has the following PDF:X-5-2138What is E(X)?O A. 1.24B. 1.48C. 2.24O D. 2.48f(x)0.220.170.130.210.27

Here, discrete probability distribution is given. We will find mean of the distribution by…

Answered: QUESTION 8 Suppose a discrete random…

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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A random variable, X, has a pdf given by The expected value of Y is O a. 3/5 O b. 5/3 O c. 7/5 O A random variable Y, is related to X by Px(x) d. 7/3 = 1 -3 < x < 1. and 0 otherwise 4 Y = X²
3. Fill in the blank spaces of table B1 using information compiled in table B. Table B Breusch-Godfrey Serial Correlation LM Test: Prob. F(2,55) Prob. Chi-Square(2) F-statistic 11.70006 0.0001 Obs*R-squared 17.90823 0.0001 Table B1: Breusch-Godfrey Serial Correlation LM Test F-statistic: Probability: a. Write down the null and alternative hypotheses underlying Breusch-Godfrey serial correlation (autocorrelation) test. b. Will you accept or reject the null hypothesis based on the Breusch-Godfrey test for residual autocorrelation? Why or why not?
Probability and stats
Please help me with the following question
Suppose you have joint random variables X and Y. It is found that COV(X,Y) Var(X) = 8, and Var(Y) = 5. - 0.85, Based on the covariance, is there a positive relationship, a negative relationship, or no linear relationship between the variables? O No Linear Relationship Positive O Negative Find the value of the correlation coefficient. Round your answer to 3 decimals.
Question 2: Exponential distribution The distance X between two successive faults in a metallic wire is an exponential random variable with parameter A = 1.3 faults per cm (centimeter). Answer the following questions. 1. Calculate the probability of P(X<1) 2. Find the probability of P(o.9 < Xs 1.7) 3. Calculate the probability that the distance between two successive faults will be greater than 3 mm (millimeters)
Below is the life table of a population of waterbuck. What is the probability that an individual in stage 2 will survive to stage 3 (give your answer to three decimal places)? Stage 0 1 2 3 4 5 ax 50 39 25 20 11 4 Answer: 0.200 1.00 0.78 0.50 0.40 0.22 0.08 Ix dx 11 14 5 9 7 4 Probability of survival = lx+1/lx The correct answer is: 0.8 0.220 0.359 0.200 0.450 0.636 1.000 qx X
Can you please do this problem step by step and can you label which one is mean, variance and pmf of X
Question 1: The CDF of the continuous random variable V is 0...... ...V 7 1. а. What is E[v]? b. What is Var[v]? С. What is E[v?]?
Example 2.14. Show the CDF of the random variable X with the following pdf: Sx(2) = lwa(x) Example 2.15. Let X be a random variable with the following pdf: 1. Find its CDF. 2. Evaluate the following probabilities using its CDF and/or pdf. a) P(} 1) c) P(X > }|X < 1)
QUESTION 4 The probability density function for the time taken to complete a 1-hour test (X) by students is given by a) b) c) Find the value of c. f(x) = {cx² + x ! ) 0≤x≤1 elsewhere Find the probability that a randomly selected student will finish in at least half an hour. Calculate the variance of X.
Example 9-30. The daily consumption of milk in a city, in excess of 20,000 litres, is 1 approrimately distributed as a Gamma variate with parameters a = and A = 2- The 10,000 city has a daily stock of 30,000 litres. What is the probability that the stock is insufficient on a particular day ?

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QUESTION 8 Suppose a discrete random variable has the following PDF: X -5 -2 1 3 8 What is E(X)? O A. 1.24 B. 1.48 C. 2.24 O D. 2.48 f(x) 0.22 0.17 0.13 0.21 0.27