The random variable x is known to be uniformly distributed between 10 and 20.
(a) | Choose a graph below which shows probability density function. | ||||||||||||||
|
|||||||||||||||
- Select your answer -Graph (i)Graph (ii)Graph (iii)Graph (iv)Item 1 | |||||||||||||||
(b) | Compute P(x < 15). If required, round your answer to two decimal places. | ||||||||||||||
(c) | Compute P(12 ≤ x ≤ 18). If required, round your answer to two decimal places. | ||||||||||||||
(d) | Compute E(x). | ||||||||||||||
(e) | Compute Var(x). If required, round your answer to two decimal places. | ||||||||||||||
The random variable x is known to be uniformly distributed between 10 and 20. (a) Choose...
The random variable x is known to be uniformly distributed between 10 and 15. a. Which of the following graphs accurately represents this probability density function? 1. foo 0.4 0.3 0.2 0.1 10 15 20 25 30 35 40 45 x 2. foo) 0.4 0.3 0.2 10 15 20 30354045 x 3. foo 0.4 0.3 0.1 10 15 20 25 30 35 40 45 x 4 fo) 0.4 0.3 0.2 0.1 10 15 20 25 30 35 40 45 x...
eBook Video The random variable is known to be uniformly distributed between 0.5 and 2. a. Which of the following graphs accurately represents this probability density function? L 0.25 0.5 0.75 1.25 15 1.75 2.x L 0.25 0.5 0.75 1.25 1.5 1.75 2. x (f(x) L 0.25 05 0.75 1.25 1.5 1.75 x Graph #3 b. Compute P(x = 1.25). If your answer is zero enter"0". (to 1 decimal) c. Compute P(0.5 << < 1.25). (to 2 decimals) d. Compute...
The random variable z is known to be uniformly distributed between 1 and 1.5. a. Which of the following graphs accurately represents this probability density function? 1. [F(x) 0.25 05 0.75 1.25 1.5 1.75 x 2. (f(x) 0.25 05 0.75 1 1.25 1.5 1.75 2 2 x 3. [f(x) N 0.25 0.5 0.75 1.25. 15. 1.75... 2x - Select your answer - 0.25 0.5 0.75 1.25 1.5 1.75 3. f(x) 0.25 0.5 0.75 1.25 15 1.75 2 Select your answer...
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...
The random variable x is known to be uniformly distributed between 4.53 and 9.68. Compute the probability that x is exactly 8. Group of answer choices 0.674 0.563 0 0.146 1.553 0.326
The random variable X is known to be uniformly distributed between 2 and 12. Compute E(X), the expected value of the distribution. Please explain how to do this using EXCEL.
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
4. (8 Marks) Suppose X is a random variable best described by a uniformly distribution or probability that ranges from 2 to 11. a) Write down the probability density function f(1). (1.5 points) b) Compute the following: i) mean (1.5 points) ii) standard deviation (1.5 points) iii) P(X < 3.858) (1.5 points) iv) P(-O< X <H+ o) (2 points)
(1 point) Suppose that random variable X is uniformly distributed between 5 and 25. Draw a graph of the density function, and then use it to help find the following probabilities: A. P(X > 25) = B. P(X < 15.5) = C. P(7 < X < 20) = D. P(13 < X < 28) =
Suppose that X is a discrete random variable that is uniformly distributed on the even integers x = 0,2,4,..., 22, so that the probability function of X is p(x) = 1 for each even integer x from 0 to 22. Find E[X] and Var[X].