Determine the variance V(X) of the triangular distribution

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

4. Consider the triangular probability distribution with PDF f(x) = 0 if x <= 0 or...

4. Consider the triangular probability distribution with PDF f(x) = 0 if x <= 0 or x >= 4, x/2 if 0 < x <= 1, (4-x)/6 if 1 < x < 4. (a) Obtain the CDF F (b) Obtain its inverse F^-1 (c) Describe the inverse CDF simulation method for this given problem.

Consider the ramdom variate generator for X that is based on a triangular distribution with range...

Consider the ramdom variate generator for X that is based on a triangular distribution with range (2,12) and a mean of 6. Consider the following linear congruential random number generator with Y0 = 22 Y i+1 = 6 * Yi + 16(mod100) and generate 10 pseudo random numbers R1,R2,...,R10 (Using Y1,Y2,...,Y10).

Compute the mean and variance of the following probability distribution. x P(x) 5................................. .1..

Compute the mean and variance of the following probability distribution.x P(x)5................................. .110............................... .315............................... .220............................... .4

Find the volume V of the described solid S. The base of S is the triangular...

Find the volume V of the described solid S. The base of S is the triangular region with vertices (0, 0), (2, 0), and (0, 2). Cross-sections perpendicular to the x−axis are squares. V = ?

Suppose x has a normal distribution with a mean of 78 and a variance of 484.00....

Suppose x has a normal distribution with a mean of 78 and a variance of 484.00. If a sample of 19 were randomly drawn from the population, find the probability of for each of the following situations. a) less than 79: probability = b) greater than 85: probability = c) in between 68 and 84: probability = d) in between 77 and 91: probability = Note: Do NOT input probability responses as percentages; e.g., do NOT input 0.9194 as...

Suppose x has a normal distribution with a mean of 79 and a variance of 441.00....

Suppose x has a normal distribution with a mean of 79 and a variance of 441.00. If a sample of 15 were randomly drawn from the population, find the probability of mu hat for each of the following situations. a) less than 77: probability = b) greater than 83: probability = c) in between 65 and 76: probability = d) in between 76 and 94: probability =

Let X have a normal distribution with mean 7. If p{X>10}=0.9, what is the variance of...

Let X have a normal distribution with mean 7. If p{X>10}=0.9, what is the variance of X?

Find the mean and variance of the gamma distribution using integration to obtain E(X) and E(X^2...

Find the mean and variance of the gamma distribution using integration to obtain E(X) and E(X^2 ). [Hint: Express the integrand in terms of a gamma density.] [Hint: Use the fact that the integral of a valid pdf must be equal to 1.]

Let X have Normal distribution with mean 45 and variance 81. If a random sample of...

Let X have Normal distribution with mean 45 and variance 81. If a random sample of size 25 is taken, which of the following is the probability that the sample average is between 41.40 and 45.63?

The time between car arrivals at an inspection station follows an exponential distribution with V (x)...

The time between car arrivals at an inspection station follows an exponential distribution with V (x) = 22 minutes. 1) Calculate the probability that the next car will arrive before the next 10 minutes. 2) Calculate the probability of receiving less than 5 cars during the next hour 3) If more than half an hour has passed without a car being presented, what is the probability that the employee will remain unemployed for at least 10 minutes? 4) If the...

Subjects