2. Now assume that D is a continuous random variable and uniformly distributed between 5 and...
Problem 9: Suppose X is a continuous random variable, uniformly distributed between 2 and 14. a. Find P(X <5) b. Find P(3<X<10) c. Find P(X 2 9)
Let X be a uniformly distributed continuous random variable that lies between 1 and 10. i. Sketch the probability density function for X. ii. Find the formula for the cumulative distribution for X and use it to compute the probability that X is less than 6
A continuous random variable is uniformly distributed between 12 and 99. What is the mean of this distribution? Enter your answer to 1 decimal place.
A continuous random variable is uniformly distributed between 0 and 96. What is the probability a random draw from this distribution will be on the closed interval between 39 and 75? Enter your answer as a decimal to 3 decimal places.
A continuous random variable is uniformly distributed between 20 and 120. Find the following probabilities – P(X<70) P(X>50) P(X=50) P(30<X<90) What are the mean and standard deviation of this distribution?
Assume random variable ? is uniformly distributed in the interval (−?/2 ,?⁄ 2]. Define the random variable ?=tan (?), where tan (∙) denotes the tangent function. Note that the derivative of tan (?) is 1/(cos (?)2) . a) Find the PDF of ?. b) Find the mean of ? .Define the random variable ?=1/?. c) Find the PDF of ?. Assume random variable X is uniformly distributed in the interval (-1/2, 1/2). Define the random variable Y = tan(X), where...
A continuous random variable is uniformly distributed between 50 and 130. a. What is the probability a randomly selected value will be greater than 102? b. What is the probability a randomly selected value will be less than 78? c. What is the probability a randomly selected value will be between 78 and 102?
Let a random variable X be uniformly distributed between −1 and 2. Let another random variable Y be normally distributed with mean −8 and standard deviation 3. Also, let V = 22+X and W = 13+X −2Y . (a) Is X discrete or continuous? Draw and explain. (b) Is Y discrete or continuous? Draw and explain. (c) Find the following probabilities. (i) The probability that X is less than 2. (ii) P(X > 0) (iii) P(Y > −11) (iv) P...
Problem 3: Problem 3: (20 points) Suppose X is a uniformly distributed continuous random variable over [1,3]. a. (10 points) If Y - 4X2, find f (y), the PDF of Y. Indicate the range for which it applies. b. (10 points) What is the expected value of Y 0 し( 4 4 Problem 3: (20 points) Suppose X is a uniformly distributed continuous random variable over [1,3]. a. (10 points) If Y - 4X2, find f (y), the PDF of...
A continuous random variable is uniformly distributed between 50 and 75. a. What is the probability a randomly selected value will be greater than 65? b. What is the probability a randomly selected value will be less than 60? c. What is the probability a randomly selected value will be between 60 and 65? a. P(x>65)= (Simplify your answer.) b. P(x<60)= (Simplify your answer.) c. P(60<x<65)= (Simplify your answer.)