Valid probability distribution

Reference no: EM1319536

Let X and Y be the lengths of life, in hours, for two separate electronic component. Their joint density is: f(x; y) = Kexp -(x+y) for x > 0 and y > 0

a) Find the value of k that makes f(x; y) a valid probability distribution.

b) Derive f(x| y)

c) Find P(X < 10| Y = 2)

d) Are X and Y independent? Justify your answer.

Reference no: EM1319536

Questions Cloud

Computation of segment return : If the manager of the Eastern Division is evaluated on return on investment alone, will the manager invest in the new project? Explain.

Computing degrees of freedom for f statistic : Store used ANOVA to test if mean sales for each credit card were equal. What are the degrees of freedom for F statistic?

Competitive industry is comprised of identical firms : a competitive industry is comprised of 15 identical firms, each with a short-run total cost function

Preparation of pro forma balance and interpretation : Prepare a pro forma balance sheet dated December 31, 2008. Discuss the financing changes suggested by the statement prepared in part A.

Valid probability distribution : Find the value of k that makes f(x; y) a valid probability distribution.

Politicians using polling data emphasize issues : When politicians using polling data emphasize issues to polls have given more importance than necessary they have fallen

Difference in proportion using level of significance : Using 5% level of significance, is there any difference in proportion of guests who would select the two resorts? What is your conclusion?

Explanation of translation methodology used by coca-cola : Which translation methodology or methodologies does Coca-Cola use? What information provided helped you draw a conclusion (if you did draw a conclusion)? Explain how Coca-Cola could use the translation methodology that it does and still have excha..

Fruit-picking can be done by children or adults : Assume to fruit-picking can be done by children or adults, but to adults are twice as efficient as children

User Account

All Pages