Suppose thatnbspnt tnbspge 0 is a poisson process with rate, Ask an Expert

Statistics

Suppose that {N(t), t ≥ 0} is a Poisson process with rate λ > 0 and that S is a random variable having a uniform distribution on the interval [0,2].

(a) Obtain the moment-generating function of the random variable N{t + S). Indication. If X has a Poisson distribution with parameter a, then Mx(t) = exp{α(e^t - 1)}.

(b) Calculate the mean and the variance of N{t + S).

View complete question

Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M91887424

Have any Question?Write your Review or question?

Related Questions in Statistics and Probability

1 define organizational communication2 what interesting

1. Define organizational communication 2. What interesting about the subject of organizational communication

We would like to estimate the true average age of customers

We would like to estimate the true average age of customers for a particular company. How large would the sample size need to be for the margin of error (based on 95% confidence) to be 1 year? Suppose that, based on prev ...

Suppose a sample space has things ab and c twice draw from

Suppose a sample space has things a,b and c. Twice, draw from the sample space and replace. The possible sequences formed are {aa, ab, ac,ba,bb, bc,ca,cb,cc} Now suppose there are Y different things. There are Y ways the ...

You need to have accumulated savings of 2 million by the

You need to have accumulated savings of $2 million by the time that you retire in 20 years. You currently have savings of $200,000. How much do you need to save each year to meet your goal if your savings earn a return o ...

In a study of helicopter usage and patient survival among

In a study of helicopter usage and patient? survival, among the 55,032 patients transported by? helicopter, 227 of them left the treatment center against medical? advice, and the other 54,805 did not leave against medica ...

The length of time needed to complete certain test is

The length of time needed to complete certain test is normally distributed with mean 74 minutes and standard deviation 17 minutes. Find the probability that it will take more than 70 minutes to complete the test. 0.7035 ...

Suppose that systolic blood pressure for 35- to

Suppose that systolic blood pressure for 35- to 44-year-olds is normally distributed with mean 125 in mm Hg and standard deviation 10 in mm Hg. What proportion of individuals will have a blood pressure reading between 12 ...

If the return on stock a in year 1 was 11 in year 2 was

If the return on stock A in year 1 was 11 %, in year 2 was -10 %, in year 3 was -4 % and in year 4 was 2 %, what was the standard deviation of returns for stock A over this four year period? (Round your answer to 1 decim ...

Letnbspxnbsp age in years of a rural quebec woman at the

Let x = age in years of a rural Quebec woman at the time of her first marriage. In the year 1941, the population variance of x was approximately σ 2 = 5.1. Suppose a recent study of age at first marriage for a rand ...

Confidence intervals ci are one of the simpler forms of

Confidence intervals (CI) are one of the simpler forms of inferential statistics. What does the CI represent? And why does our knowledge of the Central Limit Theorem (CLT) and the empirical rule let us understand why the ...

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