m-5 please help me with the below problem with step by step explanation clearly. please solve only a, b amnd c only with a very clean and brief explanation 5. In this problem you will deduce some facts about the correlation coefficient. You should follow theoutlined steps. I will also entertain proofs via the Cauchy–Schwarz inequality, but you will need toprovide a full proof of the inequality in this context.X-px. Let X and Y be randomIf X is a random variable, its standardized version is Zxvariables and p their correlation coefficient.ox(a) Show that p = Cov(Zx,Zy)= E(Z×Z¥).(b) Use part (a) to show that E((Zy – pZx)²) = 1– p?.(c) Use part (b) and Problem 4 to show that -1 0, and ifp = -1 then Y = aX +b for some a < 0.%3D 4. This problem shows (more or less) that if X is a nonnegative random variable with E(X) = 0, thenX = 0 with probability 1.(a) Show that if X is a random variable that only takes on nonnegative values, then E(X) > 0.You will likely need to give separate proofs depending on whether X is discrete or continuous.(b) Show that if X is a discrete random variable that only takes on nonnegative values andE(X) = 0, then P(X = 0) = 1. In other words, X must be constant.(c) (Extra credit) Show that if X is a continuous random variable that only takes on nonnegativevalues, then E(X)#0 (problem 4 from HW6 is one way to approach this).

Answered: Image /qna-images/answer/7006e8b8-aa5c-4e65-a338-4c7d66fb7494.jpg

Answered: 5. In this problem you will deduce some…

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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If the P value is greater than the alpha value, then we reject the null hypothesis. T/F If two variables are highly correlated, this must mean that one is causing the other to occur. T/F If we fail to reject the null hypothesis, then we are proving the accuracy of the null hypothesis. T/F
When doing a Wald Test or a F test: lets say beta1 = beta 2 = 0 Null hypotehsis is = 0 h1 = not 0 If we reject does that mean the variables are significant. And if we fail to reject, would that mean the variables can be omitted
Resistors labeled as 100 Ω are purchased from two different vendors. The specification for this type of resistor is that its actual resistance be within 5% of its labeled resistance. In a sample of 180 resistors from vendor A, 150 of them met the specification. In a sample of 270 resistors purchased from vendor B, 233 of them met the specification. Vendor A is the current supplier, but if the data demonstrate convincingly that a greater proportion of the resistors from vendor B meet the specification, a change will be made. a) State the appropriate null and alternate hypotheses. b) Find the P-value. c) Should a change be made?
Resistors labeled as 100 Ω are purchased from two different vendors. The specification for this type of resistor is that its actual resistance be within 5% of its labeled resistance. In a sample of 180 resistors from vendor A, 149 of them met the specification. In a sample of 270 resistors purchased from vendor B, 233 of them met the specification. Vendor A is the current supplier, but if the data demonstrate convincingly that a greater proportion of the resistors from vendor B meet the specification, a change will be made. P-value?
In a clinical study, a random sample of 540 participants agree to have their blood drawn, which is to be examined for the presence of antibodies against a certain contagious disease. It is found in 22% of the blood samples, which experimenters hope to extrapolate to the general population. From this random sample, 10 participants' blood samples are selected at random. If X is the number of samples out of the 10 who have these antibodies, what can we say about X? A. The sample size is not large enough for us to approximate X using a normal distribution B.The expected value of X is 22 C. X can be approximated using a normal distribution in lieu of a binomial distribution D. X has a sampling distribution that is normal
If your null and alternative hypothesis are:H0:μ=70H0:μ=70H1:μ<70H1:μ<70Then the test is: two tailed left tailed right tailed
(Please answer 2nd question ) 1. Assume that there are two types of driver: One is careful and has a 0.1% of being in an accident. The other type is careless and has a 1% chance of being in an accident. Assume that each type represents 50% of the population. If there is a law mandating that all drivers buy insurance that would cover $100,000 in damages, the actuarially far premium for all drivers would be ________ while if there were no such law, the fair premium would be __________. Group of answer choices A) $100, $1,000 B) $100, somewhere between $100 and $1,000 C) $550, somewhere between $550 and $1,000 D) $550, 1,000 Ans :- option c ). 2. The term(s) used to describe the problem(s) that make the actuarially fair premiums different in the two cases in the question above is(are) Group of answer choices A) Asymmetric information B) Moral hazard C) Adverse selection D) A, B, and C E) A and C
If your null and alternative hypothesis are:H0:μ=40�0:�=40H1:μ<40�1:�<40Then the test is: right tailed two tailed left tailed
If your null and alternative hypothesis are:H0:μ1=μ2H0:μ1=μ2H1:μ1≠μ2H1:μ1≠μ2Then the test is: Choose one two tailed left tailed right tailed
Use the following information for questions 1 and 2. Independent random samples of individuals showed that of 200 women, 40 own dogs, and of 175 men, 27 own dogs. We want to determine at α = 0.1 if there is a difference in the proportion of women who own dogs and the proportion of men who own dogs. Assume all test conditions are satisfied. What are the null and alternate hypotheses (write in equation/inequality form)?
I got stuck on this question of null hypothesis
There are two traffic lights on a commuter's route to and from work. Let X1 be the number of lights at which the commuter must stop on his way to work, and X2 be the number of lights at which he must stop when returning from work. Suppose that these two variables are independent, each with the pmf given in the accompanying table (so X1, X2 is a random sample of size n = 2). Can you help me with 3 and 4?

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