Question

Two components of a minicomputer have the following joint pdf for their useful lifetimes X and Y: x, y)xe-xx 2 0 and y 2 0 0 otherwise (a) What is the probability that the lifetime X of the first component exceeds 2? (Round your answer to three decimal places.) 135 (b) What is the marginal pdf of X? o ye 2 for x 2 0 (1 +x2 for x2 o

media%2F945%2F9453adcf-682f-4c20-9c70-16

I have solved all the questions except part C.

0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
I have solved all the questions except part C. Two components of a minicomputer have the...
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
  • Two components of a minicomputer have the following joint pdf for their useful lifetimes X and...

    Two components of a minicomputer have the following joint pdf for their useful lifetimes X and Y: f (x, y) 5 5xe2x(11y) x $ 0 and y $ 0 0 otherwise a. What is the probability that the lifetime X of the first component exceeds 3? b. What are the marginal pdf’s of X and Y? Are the two lifetimes independent? Explain. c. What is the probability that the lifetime of at least one component exceeds 3? 12. Two components...

  • Problem 4: Two components of a minicomputer have the following joint pdf for their useful lifetimes X and Y: xe-(+) ;x&...

    Problem 4: Two components of a minicomputer have the following joint pdf for their useful lifetimes X and Y: xe-(+) ;x>0;y>0 0 ; elsewhere fx y(x,y)- (a) Explain whether the lifetimes of two components are independent based on probability. (b) Compute the probability that the lifetime (X) exceeds 3.5 (c) Compute the probability that the lifetime of at least one component exceeds 3.5. (d) Compute the marginal pdf of X Problem 4: Two components of a minicomputer have the following...

  • Problem 4: Two components of a minicomputer have the following joint pdf for their useful lifetimes X and Y: xe-(+) ;x&...

    Problem 4: Two components of a minicomputer have the following joint pdf for their useful lifetimes X and Y: xe-(+) ;x>0;y>0 0 ; elsewhere fx y(x,y)- (a) Explain whether the lifetimes of two components are independent based on probability. (b) Compute the probability that the lifetime (X) exceeds 3.5 (c) Compute the probability that the lifetime of at least one component exceeds 3.5. (d) Compute the marginal pdf of X Problem 4: Two components of a minicomputer have the following...

  • Two components of a minicomputer have the following joint pdf for their useful lifetimesX and Y...

    Two components of a minicomputer have the following joint pdf for their useful lifetimesX and Y (a) What is the probability that the lifetime X of the first component exceeds 4? (Round your answer to three decimal places.) (b) What is the marginal pdf of X? x(1+y)dx = e-x for x 0 ye (1x)dy e for y 2 0 ye x(1+y)dx= for x 0 xe-x(1+y)dy-e* for x 2 0 for y e 0 What is the marginal pdf of Y?...

  • Two components of a minicomputer have the following joint pdf for their useful lifetimes X and...

    Two components of a minicomputer have the following joint pdf for their useful lifetimes X and Y: FY 1 xe A1 + + x2 0 and v2 0 1 0 otherwise (a) What is the probability that the lifetime X of the first component exceeds 4? (Round your answer to three decimal places.) (b) What is the marginal pdf of X? xe X(1+y)dy = e X for x 2 0 dx = 1 (1 + vi for y xe X(1+y)dx...

  • need help for a and c. Thank you! Two components of a laptop computer have the...

    need help for a and c. Thank you! Two components of a laptop computer have the following joint probability density function for their useful lifetimes X and Y (in years): f(x,y) = a. Find the marginal probability density function of X, fx(x). Enter a formula below. Use for multiplication, / for division, A for power and exp for exponential function. For example, otherwise 3*xA3 exp(-x/3) means 3x3e3 X 2 0 Submit Answer Incorrect. Tries 3/10 Previous Tries b. Find the...

  • ALL OF QUESTION 3 Question 3: Two components in a personal computer system have lifetimes (in...

    ALL OF QUESTION 3 Question 3: Two components in a personal computer system have lifetimes (in years) that are distributed with a joint probability density function given by fx.Y(,y e-#(1+v), 0 < r,0 y, 0, otherwise (a) (3 marks). Find fx(x) (b) (3 marks). Find fy(y) (c) (3 marks). Find the probability that the lifetime of at least one com ponent exceeds 2 years. Question 4 Question 3: Two components in a personal computer system have lifetimes (in years) that...

  • Consider a system consisting of three components as pictured. The system will continue to function as...

    Consider a system consisting of three components as pictured. The system will continue to function as long as the first component functions and either component 2 or component 3 functions. Let X1, X2, and X3 denote the lifetimes of components 1, 2, and 3, respectively. Suppose the Xi's are independent of one another and each X, has an exponential distribution with parameter λ. (a) Let Y denote the system lifetime. Obtain the cumulative distribution function of Y and differentiate to...

  • Q6. The lifetimes of two components in a machine have the following joint pdf: f(x, y).00-x...

    Q6. The lifetimes of two components in a machine have the following joint pdf: f(x, y).00-x y) for 0<50-y < 50 and zero elsewhere a. What is the probability that both components are functioning 20 months from now. b. What is the probability the component with life time X would fail 3 months before the other one? c. Compute the covariance of X, Y d. Compute the expected life of the machine e. What is probability that the two components...

  • A device runs until either of two components fails, at which time the device stops running. The j...

    A device runs until either of two components fails, at which time the device stops running. The joint probability density function of the lifetimes of the two components, both measured in hours, is given by Ш for 0 < z < 3 and 0SyS3, xy(,y)27 0 otherwise. (a) 6 points Find the marginal probability density function for the random variable X. (b) [8 points] Are X and Y independent random variables? Justify your answer. (c) 6 points] Calculate the probability...

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