1 let u and x be random variables where u is uniformly, Ask an Expert

Statistics

1. Let U and X be random variables, where U is Uniformly distributed (0,1). Given U=u, X has an exponential distribution with parameter =1/u.

(a) Find the joint density of U and X.

(b) Find E[UX]

2. Let (Xn) be a sequence of random variables. Suppose that for every ab i.o.} = 0. Show that lim_n->infinity{Xn} exists a.e., but may be infinite.

[Hint: Consider rational a and b first.]

View complete question

Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M91697067

Have any Question?Write your Review or question?

Related Questions in Statistics and Probability

Kevin knows that the beta of his portfolio is equal to 1

Kevin knows that the beta of his portfolio is equal to 1, but he does not know the risk-free rate of return or the market risk premium. He also knows that the expected return on the market is 8.25 percent. What is the ex ...

One study based on responses from 1 013 randomly selected

One study, based on responses from 1, 013 randomly selected teenagers, concluded that 43% of teenagers cite grades that their greatest source of pressure. Use a 0.05 significance level to test the claim that fewer than h ...

The assessment of the allocation of profits and losses is

The assessment of the allocation of profits and losses is one of the three key areas in which process?

Question in the example of the diamond in the cave what

Question: In the example of the diamond in the cave, what would be efficient law if any one explorer had only a very small probability of finding the diamond? How would your answer change if the costs of exploration were ...

Translate the statement into a confidence interval for p

Translate the statement into a confidence interval for p. Approximate the level of confidence. In a survey of 1000 U.S. adults, 19% are concerned that their taxes will be audited by the Internal Revenue Service. The surv ...

Rippards has a debt ratio of 15 a total asset turnover

Rippard's has a debt ratio of 15%, a total asset turnover ratio of 3.0 and a return on equity (ROE) of 48%. Compute Rippard's net profit margin.

According to a survey of 25000 households 55 of the people

According to a survey of 25,000 ?households, 55 % of the people watching a special event on TV enjoyed the commercials more than the event itself. Complete parts a through e below based on a random sample of nine people ...

You have 100 coins and 99 of them are fair equal

You have 100 coins, and 99 of them are fair (equal probability of heads or tails). One of them is weighted and has a 90% probability of landing on heads. You randomly choose one of the 100 coins. Find the probability tha ...

Phillips owns 25 of mintor inc a private company in 2007

Phillips owns 25 % of Mintor, Inc. (a private company). In 2007, Mintor had sales of $22,00,000, had net income of $82,000 and Mintor paid $32,000 in dividends. If Phillips uses the Equity Income method, what did Phillip ...

According to recent study 143 of 453 technology ceos from

According to recent? study, 143 of 453 technology CEOs from around the world responded that technological advances will transform their business and 85responded that resource scarcity and climate change will transform th ...

4,153,160 Questions Asked
13,132 Experts
2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Recent Questions

Ask Statistics and Probability Expert