Consider the following probability density function for the, Ask an Expert

Statistics

Consider the following probability density function for the random variable X :

f(x) = Kx 0 < x < 2

f(x) = K(4 - x) 2 < x < 4

0 else

a. Find the value of K for which f(x) is a probability density function

I found K to be 1/4

b. Find the mean of X

c. Find the variance of X

d. Find the cumulative distribution function of X

View complete question

Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M91012508

Have any Question?Write your Review or question?

Related Questions in Statistics and Probability

From a random sample of 41 teens it is found that on

From a random sample of 41 teens, it is found that on average they spend 31.8 hours each week online with a standard deviation of 3.65 hours. What is the 90% confidence interval for the amount of time they spend online e ...

Sixty-seven percent of adults have looked at their credit

Sixty-seven percent of adults have looked at their credit score in the past six months. If you select 31 customers, what is the probability that at least 20 of them have looked at their score in the past six months?

A governments department of transportation reported that in

A? government's department of transportation reported that in? 2009, airline A led all domestic airlines in? on-time arrivals for domestic? flights, with a rate of 83?%. Complete parts a through e below. a. What is the p ...

A study showed that in 1990 47 of all those involved in a

A study showed that in? 1990, 47?% of all those involved in a fatal car crash wore seat belts. Of those in a fatal crash who wore seat? belts,44?% were injured and 27?% were killed. For those not wearing seat? belts, the ...

A confidence interval for a population mean is to be

A confidence interval for a population mean is to be estimated. The population standard deviation is guessed to be anywhere from 14 to 24. The half-width B desired could be anywhere from 2 to 7. Tabulate the minimum samp ...

If the coefficient of determination is 0738 what percentage

If the coefficient of determination is 0.738, what percentage of the data about the regression line is unexplained?

Suppose it is known that the response time of healthy

Suppose it is known that the response time of healthy subjects to a particular stimulus is a normally distributed random variable with a mean of 15 seconds and a variance of 16. What is the probability that a random samp ...

A puck company wants to sponsor the players with the 20

A puck company wants to sponsor the players with the 20% quickest goals in hockey games. The times of first goals are normally distributed with a mean of 8.54 minutes and a standard deviation of 4.91 minutes. How fast wo ...

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 ...

If net income in 2012 956 and if the following changes

If net income in 2012 = $956, and if the following changes occur between 2011 and 2012, compute Net Cash Flow from Operating Activities for 2012: Accounts receivable change from $157 to $237 Gross fixed assets change fro ...

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