Question

Let X be the random variable for losses. X is uniformly distributed on (0, 2000). An...

Let X be the random variable for losses. X is uniformly distributed on (0, 2000). An insurance policy will pay Y = 500 ln(1-(x/2000)) for a loss. a. What is the probability density function for Y ? Give the range for which the pdf is positive. b. What is the probability the policy will pay between 400 and 600?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose that X is a random variable uniformly distributed over the interval (0, 2), and Y...
Suppose that X is a random variable uniformly distributed over the interval (0, 2), and Y is a random variable uniformly distributed over the interval (0, 3). Find the probability density function for X + Y .
a)—Random variable y is continuously and uniformly distributed between 0 to 1.what is the probability that...
a)—Random variable y is continuously and uniformly distributed between 0 to 1.what is the probability that y =0.33? b)—Random variable X is continuously and uniformly distributed over the range 0 to 7.1. What is σx the standard deviation of x?
Let X1,...,X99 be independent random variables, each one distributed uniformly on [0, 1]. Let Y denote...
Let X1,...,X99 be independent random variables, each one distributed uniformly on [0, 1]. Let Y denote the 50th largest among the 99 numbers. Find the probability density function of Y.
A signal amplitude (X) is a random variable uniformly distributed in the range (-1,1).This signal is...
A signal amplitude (X) is a random variable uniformly distributed in the range (-1,1).This signal is passed through an amplifier of gain 2 . The output (Y) is also a random variable uniformly distributed in the range (-2,2). a)   Determine the differential entropy of the input . b)   Determine the differential entropy of the output.
Let X be a random variable with probability density function fX (x) = I (0, 1)...
Let X be a random variable with probability density function fX (x) = I (0, 1) (x). Determine the probability density function of Y = 3X + 1 and the density function of probability of Z = - log (X).
You are given: X is a continuous random variable that is uniformly distributed over (0, 5)....
You are given: X is a continuous random variable that is uniformly distributed over (0, 5). Y is a discrete random variable that is uniformly distributed over the integers 0, 1, 2, 3, and 4. Calculate P(X<=Y).
Let X be a gamma random variable with parameters α > 0 and β > 0....
Let X be a gamma random variable with parameters α > 0 and β > 0. Find the probability density function of the random variable Y = 3X − 1 with its support.
The random variable X is uniformly distributed in the interval [0, α] for some α >...
The random variable X is uniformly distributed in the interval [0, α] for some α > 0. Parameter α is fixed but unknown. In order to estimate α, a random sample X1, X2, . . . , Xn of independent and identically distributed random variables with the same distribution as X is collected, and the maximum value Y = max{X1, X2, ..., Xn} is considered as an estimator of α. (a) Derive the cumulative distribution function of Y . (b)...
Let X be a continuous random variable with a probability density function fX (x) = 2xI...
Let X be a continuous random variable with a probability density function fX (x) = 2xI (0,1) (x) and let it be the function´ Y (x) = e^−x a. Find the expression for the probability density function fY (y). b. Find the domain of the probability density function fY (y).
Random variable X determines the range of voltage values at the output of an electronic module,...
Random variable X determines the range of voltage values at the output of an electronic module, and is drawn from probability density function fX(x) = (1/x^2) * u(x − 1). Random variable Y is the actual voltage observed and depends on X in the following way: if X takes the value x then Y is uniformly distributed in the range [−x, x]. Find a) The joint density fXY (x, y). b) The marginal density of the observed voltage fY (y)....
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT