Laplace random variables-cumulative distribution function

Assignment Help Basic Statistics
Reference no: EM1399356

A r.v. X is called a Laplace r.v. if its pdf is given by

fx(x) = ke ^(-lambda |x|) lambda>0, -infidenity< x < infidenty

where k is a constant.

(a) Find the value of k.

(b) Find the cdf of X.

(c) Find the mean and the variance of X.

Reference no: EM1399356

Questions Cloud

Calculate the expected interest rate : Debt: Jones Industries borrows $600,000 for 10 years with an annual payment of $100,000. What is the expected interest rate (cost of debt)?
Estimate the carrying capacity of the area : What is the functional carrying capacity for Preble's mice under these conditions? (I.e. with 400 meadow mice present)
Calculate what would be the mass of precipitae : These 3 solutions including 2.362 g of Rb2S, 1.635 g of NaClO 4 , and 0.796 g of CuCl 2 , respectively are combined together? now calculate what would be the mass of this precipitae?
Explain why did amy classify the shift leaders are exempt : Explain why did Amy classify the Shift Leaders are Exempt? Are there any advantages to Jones Department Store to having the Shift Leaders classified as Exempt?
Laplace random variables-cumulative distribution function : Find the value of k. Find the cdf of X. Find the mean and the variance of X.
Calculate what will be the volume of gas : Calculate What will be the volume of this gas sample at standard atmospheric pressure and
General costs and savings : Changes to be made to present systems, processes, policies and activities based on survey results, with your rationale for these changes. Prioritize the changes in order of least to most expensive. It is acceptable to make assumptions and/or add de..
What makes us the assimilationist society : Is assimilation achieved in the society? What makes U.S. the assimilationist society? Need 150 words in APA format with 2 references.
Determining continuity correction : Suppose a fair coin is tossed n times. The probability of obtaining head and tail are the same because this is a fair coin. The proportion of heads is defined as the number of heads appeared divided by n.

Reviews

Write a Review

Basic Statistics Questions & Answers

  Evidence that the population mean amount

Is there evidence that the population mean amount is different from 8.17 ounces? (Use a 0.05 level of significance.)

  Whether colleges students weigh less

Assume that the average person in America weighs 150 pounds (μ). You want to determine whether colleges students weigh less than the average America, Following are the weights collected on a sample of colleges students: 120, 105, 166, 170, 145, 14..

  Creating confidence interval for proportion of all kernels

Create a 90% confidence interval for proportion of all kernels that would not pop.

  Verify whether the z test assumption

The simple random sample is n = 14, σ = 12.5 and the original population is normally distributed.

  Test of the hypotheses

The alternative hypothesis is true. In this case the consumer advocacy group will have, A consumer advocacy group doubts this claim and tests the hypotheses

  Estimate the protection of retired voters

The country clerk wants to estimate the protection of retired voters who will need special election facilities. suppose a sample of 400 retired voters was taken. If 150 special election facilities, calculate an 80% confidence for the population pr..

  Standard deviation-molder operating satisfactorily

Test at 5% and 1% whether the molder is operating satisfactorily.

  Determining bell curve

Create a bell curve chart that shows the number of men needed per day for a 10,000 man hour job. The start date is 1/1/2008 and the end date is 6/1/2008.

  Number of students required to estimate the mean

The standard deviation is estimated to be 0.279. Use the 99% level of confidence.

  What might be helpful to the production and sales people

If Procter & gamble sells about 20 million bars of soap per week, but the demand is not constant, and production management would like to get a better handle on how sales are distributed over the year. What might be helpful to the production and (..

  Determining mean number of passengers

The mean number of passengers per flight is 160 with a standard deviation of 20. The aircraft used for the route has 200 seats.

  Determination of nominal, ordinal, interval, ratio

Determination of Nominal, Ordinal, Interval, Ratio.Temperature is an example of what level of measurement.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd