5. A continuous random variable X is uniformly distributed over (0,10). Compute the probability that an...

5. A continuous random variable X is uniformly distributed over (0,10). Compute the probability that an observed value of X will be within one standard deviation of its mean.

Solutions

Expert Solution

thank you.

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Random variable X is uniformly distributed over the interval [2, b]. Given: P { |X –...

Random variable X is uniformly distributed over the interval [2, b]. Given: P { |X – 4 | > 4} = 0. 8. a) Find P { 0 < X < 5}

Let X and Y be independent continuous random variables, with each one uniformly distributed in the...

Let X and Y be independent continuous random variables, with each one uniformly distributed in the interval from 0 to1. Compute the probability of the following event. XY<=1/7

The probability density function of the continuous random variable X is given by fX (x) =...

The probability density function of the continuous random variable X is given by fX (x) = kx, (0 <= x <2) = k (4-x), (2 <= x <4) = 0, (otherwise) 1) Find the value of k 2)Find the mean of m 3)Find the Dispersion σ² 4)Find the value of Cumulative distribution function FX(x)

Consider a continuous random variable X with the probability density function f X ( x )...

Consider a continuous random variable X with the probability density function f X ( x ) = x/C , 3 ≤ x ≤ 7, zero elsewhere. Consider Y = g( X ) = 100/(x^2+1). Use cdf approach to find the cdf of Y, FY(y). Hint: F Y ( y ) = P( Y <y ) = P( g( X ) <y ) =

Let x be a continuous random variable that is normally distributed with a mean of 65...

Let x be a continuous random variable that is normally distributed with a mean of 65 and a standard deviation of 15. Find the probability that x assumes a value: less than 48 greater than 87 between 56 and 70

Let X and Y be uniformly distributed independent random variables on [0, 1]. a) Compute the...

Let X and Y be uniformly distributed independent random variables on [0, 1]. a) Compute the expected value E(XY ). b) What is the probability density function fZ(z) of Z = XY ? Hint: First compute the cumulative distribution function FZ(z) = P(Z ≤ z) using a double integral, and then differentiate in z. c) Use your answer to b) to compute E(Z). Compare it with your answer to a).

Suppose we have a random variable X that is uniformly distributed between a = 0 and...

Suppose we have a random variable X that is uniformly distributed between a = 0 and b = 100. What is σ X? a. 0.913 b. 0.833 c. 50 d. 7.071

A random variable x is uniformly distributed between 20 and 52 . What is the expected...

A random variable x is uniformly distributed between 20 and 52 . What is the expected value of x?

1)Using R, construct one plot of the density function for a uniformly distributed continuous random variable...

1)Using R, construct one plot of the density function for a uniformly distributed continuous random variable defined between 0 and 6. Make sure you include a main title, label both axis correctly and include a legend in your figure. The main title needs to include your last name, also include your R code with your answer. 2) Using R, construct one plot of the density function for a Chi-square distributed random variable. The plots should contain six lines corresponding to...

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).

Subjects