Resistors labeled 100 ohms have true resistance that is between 80 ohms and 120 ohms. Let X be the resistance of a randomly chosen resistor. The probability density function of X is given by f(X)= {(x-80)/800 80

C Arandom variable is normally distributed with a mean of μ-50 and a standard deviation ofto=5 a. Which of the following graphs accurately represents the probability density function? A B 40 50 55 σ=5 60 d=5

For the probability density function f defined on the random variable x, find (a) the mean of x, (b) the standard deviation of x, and (c) the probability that the random variable x is within one standard deviation of the mean. 1 f(x) = x, [5,9] 28 a) Find the mean. %3D (Round to three decimal places as needed.) b) Find the standard deviation. (Round to three decimal places as needed.) c) Find the probability that the random variable x is within one standard deviation of the mean. The probability is. (Round to three decimal places as needed.)

The table below represents the probability density function for the random variable X. Find the standard deviation of X. x   P(X = x)  0  1/6  1  1/6  4  1/3  7  1/3

Given the random variable X and its probability density function below find the standard deviation of X. Pr(X) 0.1 0.9 3.

Assume that the probability of a being born with Genetic Condition B is p=11/60. A study looks at a random sample of 1443 volunteers.Let X represent the number of volunteers (out of 1443) who have Genetic Condition B. Find the standard deviation for the probability distribution of X.(Round answer to two decimal places.)σ = Use the range rule of thumb to find the minimum usual value μ–2σ and the maximum usual value μ+2σ.Enter answer as an interval using square-brackets only with whole numbers.usual values =