The random variable X takes value O with probability, and value 1 with the remaining probability. The random variable Y takes value 100 with probability, and value 101 with the remaining probability. What is the relation between the variance of X and the variance of Y? Var[X] < Var[Y] Var[X] = Var[Y] Var[X] > Var[Y]

Q: The probability that a person with certain symptoms has hepatitis is 0.8. The blood test used to…

A: event A : has hepatitis event+ve : test positive     P(A) = 0.8 P(A') = 1 -0.8 =0.2 P(+ve|A) = 0.90…

Q: Complete the probability distribution for the chances of rain by finding the probability of 2 days…

A: We have given the probability distribution for the chances of rain as follows, Days of Rain 0 1 2…

Q: 1. 2. 3. For the given value of x, evaluate P(x) Evaluate: P(x) = (2x + 1)/(x+3) x=0 x = 1 x = 2

A: Given information X=0,1,2 P(X=x)=(2X+1)/(X+3)

Q: Consider a simultaneous game below between Jimmy and Kate. Analyse and find all the Nash Equilibria.…

A:

Q: Let X1 and X2 be independent random variables with respective binomial distributions b(3,1/2) and…

A: (a) We can use the binomial probability mass function to find the probabilities of the individual…

Q: An individual who has automobile insurance from acertain company is randomly selected. Let Y be…

A: Given:

Q: In a sample of 380 actors, 120 have Facebook accounts on social media, 150 have Instagram, while 130…

A:

Q: A bunch of students were taking an exam. The results is assume to be a normal probability…

A: given data normaL distributionμ = 112σ = 8

Q: A normal deck has 52 cards, consisting of 13 cards each for four suits: spades, hearts, diamonds,…

A: Hi thank you  for posting  this question  , since you have posted multiple  question  as per our…

Q: 5. Determine the value of c that makes the function f (x, y) = c(x + y) a joint probability density…

A:

Q: Is there any derivation of the formula of permutation and combination?

A: Derivation for the formula of permutation and combination . Permutation : (Arrangement of r things…

Q: A discrete random variable x can assume five possible values: 2, 3, 5, 8, 10. Its probability…

A: Answer    Given    X            2           3                5                8            10 P[x]…

Q: An article includes the accompanying data on compression strength (lb) for a sample of 12-oz…

A: Given Information: The sample size of the strawberry drink, n1=10 The sample size of the Cola, n2=10…

Q: The amount of time it takes for a student to complete a statistics quiz is uniformly distributed…

A:

Q: Some parts of the answer above are not shown because of the picture, would you send me a clearer…

A: Given :  λ = 3.2 per week  Now we know :  P(X=x) = e-λ * λx / x!  x! = x*(x-1)*(x-2)*(x-3)....1 Now…

Q: le and how you solved, thank you.

A: Given  12 blue 6 brown 10 orange 8 yellow 8 red 4 green _______________ 48 total M&amp;Ms

Q: 1) For the following exercises, compute the value of the expression. C(8,5)

A: given data, C(8,5)we have to find out the value of the given expression

Q: In this question you will consider ergodicity and time series averages. Consider the following MA…

A: Given the MA(2) time series model : Yt=εt-θ1εt-1-θ2εt-2

Q: A certain test is going to be repeated until done satisfactorily. Assume that repetitions of the…

A: Let,  X denotes the random variable considering the repetitive test until the satisfactory level is…

Q: Let A and B be two events defined on a sample space S such that p(A) = 0.3, p(B) = 0.5, and P (AUB)…

A: Given that P(A)=0.3, P(B)=0.5, P(A U B)=0.7

Q: A binomial experiment with probability of success p 0.12 and -9 trials is conducted. What is the…

A: Answer:- Given,  Probability of success, p = 0.12 Total number of trials, n = 9  Using formula,…

Q: 1. 2. A. The cerebral blood flow (CBF) in the brains of healthy people is normally distributed with…

A:

Q: 1. (Devore: Section 3.3 #39) A chemical supply company currently has in stock 100-lb of a certain…

A: We have given information, A chemical supply company currently has in stock 100 lb of a certain…

Q: Consider a financial instrument which follows an Arithmetic Brownian Motion with zero drift and…

A: Given  Arithmetic Brownian Motion Drift 0 Volatility 1

Q: Data 6 5.5 7.5 4.5 6.5 5 6 6.5 7 5.5 6 6.5 4.5 5 6.5 6.5 6.5 7.5 5.5 5.5 6 6…

A: Given information: 6, 5.5, 7.5, 4.5, 6.5, 5, 6, 6.5, 7, 5.5, 6, 6.5, 4.5, 5, 6.5, 6.5, 6.5, 7.5,…

Q: John can take one of two highways, Interstate A and Interstate B, to get to work each day. The…

A: Given that P(interstate A)=0.65, P(interstate B)=0.2 P(interstate A or interstate B)=0.80

Q: A consultant's salary, captured by the random variable Y = B + X comes from a deterministic base B =…

A: Given that E[X]=16, V[X]=240

Q: (1) y μ = σ = (2) v = 4x μ = σ= x+8 σ= mean and standard deviation of a random variable x are 8 and…

A: Given,Mean of the random varible X(E(X))=8Standard deviation of the random varible(σx)=1 and…

Q: There's a glitch in ChatRoulette, and it matches you with a completely random person, despite your…

A: Given data :  70% of ChatRoulette participants are men 30% are women 80% of participants are…

Q: A population consists of N= 5 numbers: 11, 12, 15, 19, 21. A random sample of size n = 3 is selected…

A: A population consists of N = 5 numbers: 11, 12, 15, 19, 21. A random sample of size n = 3 is…

Q: Please help solve the problem provided in the photo below

A: Solution: From the given information,

Q: Use the contingency table below to find the probability of the following events A A' B 40 10 B 10 20…

A: We have given a contingency table,   B B' A 40 10 A' 10 20

Q: When a woman thinks she may be pregnant, she often uses an over-the-counter pregnancy test to…

A: The two-way table of a pregnancy test on 500 women is given as    Pregnant Not Pregnant…

Q: * In problem 1 and 2, we consider a two-state Markov decision process (S, A, P, R, X) where S =…

A: To find all optimal Markovian deterministic stationary policies, we can use the policy iteration…

Q: The Fresh Oven Bakery sells the pies for $3 each. She knows that the number of pies it can sell…

A: Given:-               Selling price P = $ 3 each                Baking cost C = $ 2.50 each

Q: New York City is under attack by Morlun and the Inheritors (for the full story, check out the 2014…

A: Solution: From the given information,

Q: A population consists of N = 5 numbers: 11, 12, 15, 19, 21. A random sample of size n = 3 is…

A: Here the given information is A population consists of N = 5 numbers: 11, 12, 15, 19, 21. A random…

Q: You bet! You roll a die. If it comes up a 6, you win $100.If not, you get to roll again. If you get…

A: a) The probability model for the amount you win is: Event Probability Winnings 6 1/6 $100 Not…

Q: 65. (This problem assumes knowledge of the basic rulesof basketball.) One controversial topic in…

A: The decision of whether to intentionally foul in the scenario described depends on several factors,…

Q: Box I contains 1 red ball and 2 white balls. Box Il contains 2 red balls and 1 white ball. One ball…

A: Let us define some events  A : transferred ball is white B : transferred ball is red. E : ball from…

Q: ) Fewer than 3. d) Exactly 4.

A:

Q: A student studying for a vocabulary test knows the meanings of 14 words from a list of 22 words. If…

A: know meaning of 14 words out of 22 words. so 8 are not known.   select 10 words at random.  p(at…

Q: In Vancouver, Canada the probability of rain during a fall-winter day (FW) is 0.58, and during a…

A: From the given data we have, In Vancouver, Canada the probability of rain during a fall-winter day…

Q: UMVUE of 0. Let X₁, X, be i.i.d. from f(x) = e-(-0), a 20. Find the

A: From the given information, X1,X2,....,Xn be i.i.d from fx=e-x-θ, x≥θ. Consider, EXi=∫θ∞xfxdx…

Q: Freshmen are sometimes assigned to first-year sections at random. Suppose that the probability that…

A:

Q: For the following exercises, compute the value of the expression. C(10,3)

A: From the provided information, The expression is C (10,3)

Q: b. In a cellular network, the total number of channels per cell is seven, among which two are…

A: To calculate the blocking probabilities of new and handoff calls, we need to use the Erlang-B…

Q: A and B are two events. Answer True or False to the following statements. AU AC equals the empty set…

A: As per our guidelines I can solve only first 3 subparts. Kindly post the remaining subparts again…

Q: A consulting firm is bidding for two jobs, one with each of two multinational corporations. The…

A: Given information P(A)=0.60, P(B|A)=0.50

Q: Determine whether the events are mutually exclusive A card is selected randomly from a deck of 52.…

A: No, the events are not mutually exclusive because there are cards in the deck that can satisfy more…