For two standard dice all 36 outcomes of a throw are equally likely. Find P(X1 + X2 = j) for all j and calculate E(X1 +X2). Confirm that E(X1)+E(X2) = E(X1 +X2).
Q: Salinity in Quebec river is a combination of tides and rain. Rain that diluted the salt occurs about…
A: It is given that n = 3 and p = 0.10.
Q: a) Consider a random sample of n 8 people who donated blood over the past three months. The expected…
A: As per our guidelines, we are allowed to answer first three sub-parts \ P( O+ ) = 0.4 P( A-) =…
Q: 2) h(x) = x – 1; Find h(8) %3D A) 2 B) 7 C) -6 D) -4
A:
Q: In ΔPQR, m ∠ P = ( x + 13 ) ∘ m∠P=(x+13) ∘ , m ∠ Q = ( 10 x + 13 ) ∘ m∠Q=(10x+13) ∘ , and m ∠ R = (…
A:
Q: An automobile service facility specializing in engine tune-ups knows that 50% of all tune-ups are…
A: Given: 50% of all tune-ups are done on four-cylinder automobiles. 20% on six-cylinder automobiles…
Q: To illustrate the proof of Theorem 1, consider the ran-dom variable X, which takes on the values −2,…
A:
Q: The temperature of a metal plate at the point is given in the following table below, where T(x, y)…
A: Final answer and explanation are clearly mentioned in the next section.Explanation:Please let me…
Q: a student takes a true false test that has 6 questions and guests randomly at each answer. Let x be…
A:
Q: Define β0 stands for?
A: β0 is the intercept value in the Linear Regression.
Q: At the Blood Bank, they know that O+ blood is the most common blood type and that 40% of the people…
A: Given: p=40%=0.40 for O+ (X)p=6% = 0.06 for A- (Y)p=50% = 0.50 for A or B (Z)
Q: If n(E1 and E2)=5 and n(E1)=10 then P(E2|E1)=
A: Given that n(E1 and E2) = 5, n(E1) = 10 To find P(E2|E1)
Q: If z show that x 3z %3D %3D
A: According to question, Given equation, z = x2y2x + y,
Q: A fair dice is rolled 3 times. Let X denote the sum of the dice rolls, and Y denote the sum of the…
A:
Q: If X has p.d.f. f(x) = .0sxs3 1o, 0.w. The probability that the quadratic equation 4t2 + 4tX + X +2…
A: From the given information, The quadratic equation is, 4t2+4tX+X+2=0. Here, a=4b=4Xc=X+2 Condition…
Q: Find Covariance
A:
Q: medical researcher believes that a drug changes the body's temperature. Seven test subjects are…
A: We have given that the paired of body temperature before and after taking the drug having sample…
Q: You and a friend are spending two days in the woods; you both enjoy hiking. HOWEVER, each of you…
A: The objective of this question is to model the situation as a normal form game where you and your…
Q: At the Blood Bank, they know that O+blood is the most common blood type and that 40% of the people…
A: As per guidelines we will solve the first question only, please repost other questions for more…
Q: 6 men and 4 women are ranked according to their scores on an exam. Assume that no two scores are…
A: X = highest ranking av=chived by women6 men4 women____________10 total peoples
Q: a) If the probability that a child will be born with black eyes is given by X-G(1/3), find: 1)…
A: a) Given: X~Gp=13=0.3333 q=1-p=1-0.3333=0.6666 The probability mass function of geometric…
Q: from the first principle defferentiate h() = 5x³²x+7 2² +2+1
A:
Q: A medical researcher believes that a drug changes the body's temperature. Seven test subjects are…
A: Given data Temperature (before) 99.8 99.1 100.2 99 99.3 98.7 100.5 Temperature (after) 99.3 98.9…
Q: Solve q7 part iv
A: 7. Given: Total number of cards=52. P2=113P3=113P4=113P5=113P6=113 iv) The probability that the card…
Q: Suppose you play a game that you can only either win or lose. The probability that you win any game…
A:
Q: Solve a real-life working example of Newton's forward interpolation method, take random 5 values for…
A:
Q: Because P(A n B) has been defined as x, and we calculated the value of P(A n B) = P(A) P(B) to be x²…
A: The provided quadratic equation for is, The objective is to calculate two values of that represent…
Q: Suppose that in a research it was discovered that those who majored in math, engineering, or…
A: The independent variable is the variable changed or monitored by the experimenter and is assumed to…
Q: Solve the problem using Bayes' Theorem. Round the answer to the nearest hundredth, if necessary. For…
A: There are three mutually exclusive events.It is given, that, .
Q: If the student attends class on a certain Friday, then he is four times as likely to be absent the…
A:
Q: The diameter of a round rock in a bucket, can be messured in mm and considered a random variable X…
A: Given,f(x)=k(x-x4) ; 0≤X≤10 ; other wise
Q: A school committee with four members is to be chosen randomly from a group consisting of 6 men and 5…
A: Given: No. of men, M=6 Sample size, n=4 No. of women, W=5
Q: Of all awarded prizes, 2% are worth $1000, 10% are worth $100, and 88% are worth $10. Let X be the…
A:
Q: The result shows the person tested positive, what is the probability that the test is correct
A: Given that P(W1) = 0.10, P(W2) = 0.90 P(X | W1) = 0.80, P(X | W2) = 0.30
Q: (d) Find P(1 Y ≤ 3|X= 1), P(Y ≤ 2|X ≤ P(X=2|Y= 3). (e) Find E(Y|X= 1) and Var(Y|X=1). H 2), and
A:
Q: playing games of backgammon until one player has won four games, at which point that player is…
A:
Q: 12 9.3 13 11.7 14 14.1 15 16.5 16 18.9 17 21.3 One spring afternoon, Michael records the outside…
A: Given:
Q: In a game, five cards are drawn out of a deck of 52 cards. If the result is a four-of-a-kind the…
A: From the given information, five cards are drawn out of a deck of 52 cards. If the result is a…
Q: U (I) = -1000 + 20i U(NV) = -80i whether all countries investing is a NE. C is a NE. Show your work.…
A: (a.) To check whether all countries investing is a Nash equilibrium (NE), we must ensure that no…
Q: The three random variables, a, b and c are independent and each uniformly distributed in the…
A: We can find the roots of any quadratic equation ax2+bx+c=0 using the discriminant as follows:…
Q: Pearson’s r(50) = .75, p = .03 can be interpreted as: Group of answer choices X and Y have a…
A:
For two standard dice all 36 outcomes of a throw are equally likely. Find P(X1 + X2 = j) for all j and calculate E(X1 +X2). Confirm that E(X1)+E(X2) = E(X1 +X2).
Step by step
Solved in 2 steps with 2 images
- A coin is tossed twice. Let Z denote the number of heads on the first toss and W the total number of heads on the 2 tosses. If the coin is unbalanced and a head has a 40% chance of occurring, find (a) P( W=2 | Z= 1) (b) P( Z=0 | W = 1) ; (c) are Z and W independent?For any two events A and B, show that P(ĀOB)=P(B) – P(A B).A college finds that 10% of students have taken a distance learning class and that 40% of students are part time students. Of the part time students, 20% have taken a distance learning class. Let D = the event that a student has taken a distance learning class and E = the event that a student is a part time student. For each part, show how you derive your answer. Show formulas if appropriate. (a) Find P(D and E) (b) Find P(D or E)
- Farmers face uncertainty over their earnings because rain is random. Let a farmer's yield be Y= 0 in the dry outcome and Y = 1 in the wet outcome. However, not all farmers are the same: Probability(Y= 1) = p1= 2/ 3 if type = 1 p0= 1/ 3 if type = 0 All farmers are risk averse, with utility U(Y) = √Y as their utility function. Farmers know their type. (a) Calculate each farmer's expected yield, E(Yi) =pI1 + (1- pi)0, expected utility ,E(Ui) =piU(1) + (1 - pi)U(0), and calculate the utility at E(Yi), U(E(Yi)), for i= 0, 1. Show these all on a graph with utility on the vertical axis and yield on the horizontal axis.A medical researcher claims that the proportion of patients receiving 200 mg of a newly-developed influenza vaccine who go on to contract influenza strain X is less than the proportion of patients receiving 200 mg of last year's influenza vaccine who contract influenza strain X. Of 320 patients who are given last year's vaccine, 114 contract influenza strain X. Of 350 patients who are given the new vaccine, 112 of them contract influenza strain X. Let PN be the proportion of patients receiving the newly-developed vaccine and pL be the proportion of patients receiving last year's vaccine. State the null and alternative hypotheses and the value of the test statistic. Ho: PN =PL versus HA: PN > PL; Test statistic: Z = 0.99 Ho: PN=PL versus HA: PN > PL; Test statistic: Z = 1.55 Ho: PN-PL versus HA: PN PL; Test statistic: Z= 1.55 Ho: PN-PL versus HA: PN PL; Test statistic: Z= 0.99Let W = {A E M33 : a11 = a12 = 0 and az21 = a22}. Then %3D %3D dim(W) = (A) 4 (B) 8 (C) 7 (D) 5 (E) 6
- If the odds against T occurring are 8:5, then find P(T) and P(T'). P(T) = (Simplify your answer.) P(T') = (Simplify your answer.)J and K are independent events. P(J|K) = 0.6. Find P(J).A student goes to the library. Let events B= the student checks out a book and D= the student check out a DVD. Suppose that P(B)=0.54 P(D)=0.45 and P(D|B)=0.50 Round each answer to four decimal places. (a) Find P(B′)Enter the exact answer.P(B′)= (b) Find P(D AND B)Enter the exact answer.P(D AND B)= (c) Find P(B|D).Round your answer to three decimal places.P(B|D)= (d) Find P(D AND B′)Enter the exact answer.P(D AND B′)= (e) Find P(D∣B)Enter the exact answer.P(D∣B′)
- We throw a symmetrical dice twice. Let X denote the number of throws in which an odd number of dice fell, and let Y denote the remainder of the product of the dice's rolls divided by 3.Check whether the variables X and Y are (a) independent (b) uncorrelatedConsider the following scenario: • Let P(C) = 0.3• Let P(D) = 0.8• Let P(C|D) = 0.3 A. P(C AND D) = [ Select ] ["0.30", "0.24", "0.26", "0.11"] B. Are C and D Mutually Exclusive? [ Select ] ["No, they are not Mutually Exclusive.", "Yes, they are Mutually Exclusive."] C. Are C and D independent events?[ Select ]["No, they are Dependent.", "Yes, they are Independent."] D. P(C OR D) = [ Select ] ["0.92", "0.86", "0.60", "1.1"] E. P(D|C) = [ Select ]["0.30", "0.95", "0.24", "0.80"]if n(E1 and E2)=4 and n(e1)=12 then p(E2|E1)=
