Show that for any random variable E[X2]≥ (E[X])² and When does one have equality?

Q: Show your work . Justify an answer

A: Step 1:  Find the probability of winningThe probability of rolling a 1 on a fair six-sided dies…

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A: every thing clearly mentioned in above answer

Q: What is the likelihood of rolling a prime number on a fair six-sided die, and then drawing a red…

A: A fair six sided die is rolled and red card is selected from a standard deck of 52 cards.

Q: Consider two random variables X and Y with joint PMF given in the following Table x= Number of Bars…

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Q: Use Ito's formula (1.15) to write the below stochastic processes Y(t) in the form dY(t) = Udt+VdB(t)…

A: Consider the ito's formula to write the stochastic process Yt in the standard form:

Q: I need help with this please

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Q: CONTEXT:Paul the Octopus correctly predicted the winner of 8 out of 8 games played in the 2010 World…

A: Our null hypothesis is that the probability of choosing either box is 0.5.The alternative model…

Q: Let Pr(A) = 0.58, Pr(B) = 0.24 and Pr(A n B) = 0.15. What is the value of Pr(A | B°)? A. 0.4342 B.…

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Q: Suppose, under Pn, Xn = Yn + 0P (1), that is, Xn - Yn →0 in Pn-probability. Suppose Qn is contiguous…

A: For {Xn} and {Yn} be sequences of random m-vector on probability space (Ω,F,P), it is given…

Q: I need help with this please

A: Step 1: Understanding the Model EquationThe equation y_i = β₀ + β₁x₁i + β₂x₂i + β₁₂x₁ix₂i + e_i…

Q: 24. P(AUB) 0.25 0.02 0.26 0.04 0.01 0.05 B 0.27 C a) 0.63 b) 0.37 c) 0.27 d) 0.53

A: Step 1:Find the P(A∪B).Step 2:Using the formula :P(A∪B)=1−P(A∪B)First find the P( A U B).From the…

Q: Justify an answer

A: &gt;In option A, each trial can be classified as success or failure so it is not the right…

Q: The probability that a randomly chosen person in the Netherlands connects to the Internet…

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Q: Consider two random events A and B. Event Ac is the complement of event A, and Bc is the complement…

A: Determine the required probability using the conditional probability formula P(A∣B)=P(B)P(A and B)​.…

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A: Let's break down the given probability mass function (pmf) for the discrete random variable…

Q: 48

A: GIVEN: P(A) = 0.5P(B) = 0.3P(A or B) = 0.8 Union Rule for Probabilities P(A or B) = P(A) + P(B) -…

Q: Consider the following joint distribution function where c is a constant. (c·e-(2x+y) x = 0, y ≥ 0,…

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Q: None

A: Step 1:  Step 2: F = 28.7938 P-value = 0.0000  Step 3: For Mile 3, the average time is higher than…

Q: P,Q are independent events

A: Given,P(P)=10070​P(Q)=10080​ We know that if A and B are independent events, thenP(A∩B)=P(A)×P(B)…

Q: Determine the classes of the Markov chain and whether they are recurrent.

A: Sure! Let's show the workings for both parts (a) and (b).(a) For the first transition probability…

Q: A commuter attempts to catch the 8:00 am train every morning although his arrival time at the…

A: Step 1:a) To find the probability density function of Z = Y - X, where X and Y are independent…

Q: ill in the missing value so that the following table represents a probability distribution. X 5 6 7…

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Q: A random sample of 16 pharmacy customers showed the waiting times below (in minutes).  21 22 22…

A: Confidence interval formulaCI = x̄ + t(n​s​)where n = sample size x̄ = sample mean s = sample…

Q: K For each lettered part, a through c, examine the two given sets of numbers. Without doing Set 1…

A: Formula:  Standard Deviation Computation in Excel: Set 1 (a)mean(x-mean)(x-mean)2…

Q: Find the expected value E(X) of the following data. Round your answer to one decimal place. X 5 6 7…

A: xP(x)50.260.270.180.290.3Expected value = ?

Q: Two machines turn out all the products in a factory, with the first machine producing 25% of the…

A: The objective of this question is to find the probability that a defective part is produced at this…

Q: Help me with homework

A: Step 1:Step 2: Step 3:

Q: Use the method of your choice to determine the following probability. Drawing at least one nine when…

A: To determine the probability of drawing at least one nine when drawing a card from a standard deck…

Q: Assume that on a standardized test of 100 questions, a person has a probability of 85% of answering…

A: Step 1: Given informationSample size, n = 100Probability of success, p = 0.85. Step 2:…

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Q: J. They are certain to select any type of music other than jazz music. 13. The list shows the types…

A: Step 1:To find the probability of Roberto choosing an adventure book, we need to calculate the ratio…

Q: Please do the following questions with full handwritten working out.

A: Step 1: Writing the permutation as a product of disjoint cycles:  Let's denote the cards initially…

Q: PLEASE HELP ME. kindly show all your work 3.  Let n ∈ N \ {0}. Describe the largest set of values n…

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Q: The distribution of heights of a certain breed of terrier has a mean of 71 centimeters and a…

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Q: Please do the following questions with full handwritten working out. Answer is in the other image

A: 1. **Define the Event of Failure**: In this problem, a failure occurs when the component reaches the…

Q: x(t) == ()-1 h(t)=pt .u(t) y(t) Z(t) is a sequence of Poisson impulses. X is the expected number of…

A: Step 1:Given:x(t)=z(t)−λh(t)=e-βt u(t)y(t) is the outputWhere:z(t) is a sequence of Poisson impulses…

Q: Suppose you just received a shipment of nine televisions. Two of the televisions are defective. If…

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Q: How much interest (to the nearest dollar) would be saved on the following loan if the condominium…

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Q: Let A and B be two events in a sample space S. Suppose P(A) = 0.5, P(B) 0.3, and P(A n B) = 0.2.…

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Q: Suppose A and B are two disjoint events. Further, P(A) = 0.49, and P(B) = 0.51. The P(A|B) = 0.51 0…

A: The objective of the question is to find the conditional probability of event A given that event B…

Q: None

A: Basic formula of probability:Probability = x/nwhere:x = number of favorable outcomesn = total number…

Q: If the initial velocity of a projectile is 96 feet per second, then its height in feet is a function…

A: Approach to solving the question:Please see attached photos for detailed solutions. Thank you.…

Q: Let A and B be events with P(A)=0.5, P(B)=0.55, and P(B|A)=0.9. Find P(A and B).

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Q: Please do the following questions with full handwritten working out.

A: I can't access or process handwritten content, but I can help you with the circuit analysis problem…