Question

Exercise 5.5. Consider the sample space S = {(x,y) € R2 : 22 + y2 <1}, with event space & suitably chosen, and with probabiliThe Answer for i is suppose to be 0.625, but I am having trouble getting that number

0 0
Add a comment Improve this question Transcribed image text
Answer #1

solution;

given that

the sample space equation

S = {(x,y) \epsilon R^2: ^{x2} +^{y2}\leq1}

the probability of P(E)=area(E)/area (S)

=area(E)/\pi

Solution - Given that B C D * To be Eoch hacoing Equal Orea = T(0) 4 T 4 P(B) = P(220.420) 1/4 Alen of s 77 14 P (B) = 14 Sim* The probability function is given by X(214) -1/2 13 2 P(x) 14 14 i €(x) En f(a) = *.* 144 +10) 174) +27944) Jolayn 200 yo OY2 -3+212 ор D T X X 1/2 X 14 24 Q 1/4 + 1 31 +27 = 0-65 €) = ( 18 14 ( % van * tos van de ++ tv +1+1} /0743 Jolyo di do 072(c + -48*74 + 1/273 74 + BxY4 + 16144) นาง 13h Sandy so Do 9 = { set ya * * il fondo - 94 6-4ed =12 Thi g3 g do dol do do 946=8X (205) +27 + 36 x (1.186)+54 X10:65) 121.268 V(x) € 02 - [ECX))? = 1.188-1065)? 0.7655

Add a comment
Know the answer?
Add Answer to:
The Answer for i is suppose to be 0.625, but I am having trouble getting that...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Topic: Expected value, variance, and moment generating functions. Exercise Consider the sample space S = {(x,y)...

    Topic: Expected value, variance, and moment generating functions. Exercise Consider the sample space S = {(x,y) ERP: + y<1}, with event space & suitably chosen, and with probability measure P determined by Area(E) Area(E) P(E) Area(S) for E E E. Let X: S+R be the random variable defined by (-1/2 if : <0 and y 0, if : <0 and y <0, X((x,y)) = if x > 0 and y < 0, V2? + y2 if x 20 and y...

  • Hi. I'm having trouble with this question in my Topology class. Can I get some help on this?? Tha...

    Hi. I'm having trouble with this question in my Topology class. Can I get some help on this?? Thank you. (3) Define a function d: R 2 x R2 → R by d(x, y) = max(ki-yil. 12.2-U21) for any two points x-(xi,T2), y-(yi,y2) є R2. Then d is a metric for R2. Prove that {(r,y) є R2lr+y > 0} is an open subset of the metric space (R2, d) and that {(x, y) є R2 1 x + y >...

  • I am having trouble with solving the last section for this problem Using the relationship  &...

    I am having trouble with solving the last section for this problem Using the relationship   x×y=850   eliminate either   x   or   y   from the expression for printed area. The function you wish to maximize is (and you are to complete this). I honestly don't know what they're asking me. Can you please help me solve this problem to receive the answer? Task: Practice Finding Optima I - Maximize Area of a Rectangle A printed page is to have dimensions z y...

  • This needs to be in python, however, I am having trouble with the code. Is there...

    This needs to be in python, however, I am having trouble with the code. Is there any way to use the code that I already have under the main method? If so, what would be the rest of the code to finish it? #Create main method def main(): #Create empty list list=[] #Display to screen print("Please enter a 3 x 4 array:") #Create loop for rows and have each entered number added to list for i in range(3): list.append([int(x) for...

  • 10. (10 points) A function f : R2 + R is called a probability density function...

    10. (10 points) A function f : R2 + R is called a probability density function on D CR if (6) f(, y) 0 for all (x, y) E D and (i) SD. f(x,y)dA= 1. ſk(1 – 22 – y2) 22 + y2 <1 (a) For what constant k is the function f(z,y) a prob- 12 + y2 > 1 ability density function? Note that D= {(1, Y) ER? : x2 + y² <1}, the closed unit disk in R2...

  • 1. Are £i and C2 skew lines? Explain your answer and find the distance between them if they are s...

    1. Are £i and C2 skew lines? Explain your answer and find the distance between them if they are skew lines. 3 marks 2. Let S be the region given by S-((z, y) E R: z2 + y2 4,z? + y2-4y2 0,#2 0, y 20} 1 mark (a) Sketch the region S; (b) Consider the change of variables given by u2 , a2 +y-4y. Describe the region S as set in terms of the variables u and v. Call this...

  • I am having trouble with part B, i have done the other two parts. I know...

    I am having trouble with part B, i have done the other two parts. I know how to find the transition matrix when i have basis in the form of B = {(_ _ _), (_ _ _), (_ _ _)} but not one like this. Thanks so much for your help! Let V be the vector space of solutions to the ODE y" - 3y' +2y 0, with basis given by β-fet, e,2), and let z,-2et-e2t and z,-c"-et. (a)...

  • Please show all work so I can learn <3 XOXO I would appreciate it alot ;)...

    Please show all work so I can learn <3 XOXO I would appreciate it alot ;) 1 Random Variables Consider the probability space (2, A, P) defined as follows: .A-2. i.e., the event space is the power set of Ω; P(R)1/3, P(G) P(B) PY-2/9, where we define the probability only for the clementary outcomes, and the probability of every event in A can be deduced from these valucs (as per discussion in section A.5) This probability space can model, for...

  • I am getting an error in R and am unsure how to correct it. I am getting an error from the r2 line, "Error in xc[1:(...

    I am getting an error in R and am unsure how to correct it. I am getting an error from the r2 line, "Error in xc[1:(n - 2)] : only 0's may be mixed with negative subscripts." tmpFn <- function(xVec) { xc <- xVec - mean(xVec) denom <- sum(xc^2) n <- length(x) r1 <- sum( xc[2:n] * xc[1:(n-1)] )/denom r2 <- sum( xc[3:n] * xc[1:(n-2)] )/denom list(r1 = r1, r2 = r2) } tmpFn(seq(2, 56, 3)) 10. (a) Given a...

  • I am having trouble getting the right answer to these few questions and I am very much in need of...

    I am having trouble getting the right answer to these few questions and I am very much in need of someone to kindly answer these questions for me correctly please. Thanks. Question 3 0/15 pts Cakculate the change in energy for the transition of the electron from the n 2 level to then 1 level in kJ/mol, using the values of the energy levels calculated above 984.8 Question 4 0/15 pts Find the wavelength in nm of the line emitted...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT