Consider the following exponential probability density function.
f(x) =
1 |
4 |
e^{−x/4} for x ≥ 0
(a)
Write the formula for
P(x ≤ x_{0}).
(b)
Find
P(x ≤ 3).
(Round your answer to four decimal places.)
(c)
Find
P(x ≥ 4).
(Round your answer to four decimal places.)
(d)
Find
P(x ≤ 6).
(Round your answer to four decimal places.)
(e)
Find
P(3 ≤ x ≤ 6).
(Round your answer to four decimal places.)
Consider the following exponential probability density function. f(x) = 1 4 e−x/4 &n...
-/1 points 1. ASWESBE9 6.E.033. Consider the following exponential probability density function. f(x) e-x/5 5 1 for x 0 (a) Write the formula for P(x s xn) (b) Find P(x s 2). (Round your answer to four decimal places.) (c) Find P(x z 5). (Round your answer to four decimal places.) (d) Find P(x s 6). (Round your answer to four decimal places.) (e) Find P(2 s x s 6). (Round your answer to four decimal places.) Need Help? Read...
Consider the exponential probability density function: for x ≥ 0 Choose the correct formula for P (x ≤ x0). (1) P (x ≤ x0) = 1 - e(-x0/3) (2) P (x ≤ x0) = 1 + e(-x0/3) (3) P (x ≤ x0) = 1 - (1/3)e(-x0/3) (4) P (x ≤ x0) = 1 + (1/3)e(-x0/3) Find P (x ≤ 2). If required, round your answer to four decimal places. P (x ≤ 2) = Find P (x ≥ 3). If...
Consider the following exponential probability density function. for x ≥ 0 If needed, round your answer to four decimal digits. (a) Choose the correct formula for P(x ≤ x0). (i) (ii) (iii) (iv) (b) Find P(x ≤ 2). (c) Find P(x ≥ 3). (d) Find P(x ≤ 5). (e) Find P(2 ≤ x ≤ 5).
{Exercise 6.27 (Algorithmic)} Consider the following exponential probability density function. f(x) = }e for > 0 a. Which of the following is the formula for P(xs xo)? 1 P(x <=0) = 4- · 2 P(Z 520)=1-4- 3 P(1 520)=1-6-- Formula #2 b. Find P(x s 1) (to 4 decimals). C. Find P(x > 4) (to 4 decimals). 0.1353 d. Find P(x S 5) (to 4 decimals). e. Find P(1 3 x 5) (to 4 decimals).
Find the median of exponential distribution with probability density function f(x) = * e * P -2
Let the joint probability density function for (X, Y) be f(x,y) s+y), x>0, y>0, 7r+yCT, 0 otherwise. a. Find the probability P(X< Y). Give your answer to 4 decimal places. 28 Submit Answer Tries 0/5 b. Find the marginal probability density function of X, fx(x). Enter a formula in the first box, and a number for the second and the third box corresponding to the range of x. Use * for multiplication, / for division and л for power. For...
3 The probability density function of a random variable on the interval [9, 16] is f(x) = x. Find the following values. a. Find the expected value The expected value is (Round to two decimal places as needed.) b. Find the variance. The variance is (Round to two decimal places as needed.) c. Find the standard deviation The standard deviation is (Round to two decimal places as needed.) d. Find the probability that the random variable has a value greater...
PLEASE SOLVE FULLY WITH NEAT HANDWRITING AND STATE THE FINAL ANSWER IN A BOX!!!!! Suppose that the density (pdf) function for a random variable X is given by f(X) = _ for 0 SX the probability P(0.5 1)? Round your answer to four decimal places. 2 and f(x)-0 otherwise. What is Suppose that the density (pdf) function for a random variable X is given by f(X) = _ for 0 SX the probability P(0.5 1)? Round your answer to four...
Let X be a continuous random variable with the following probability density function f 0 < x < 1 otherwise 0 Let Y = 10 X: (give answer to two places past decimal) 1. Find the median (50th percentile) of Y. Submit an answer Tries 0/99 2. Compute p (Y' <1). Submit an answer Tries 0/99 3. Compute E (X). 0.60 Submit an answer Answer Submitted: Your final submission will be graded after the due date. Tries 1/99 Previous attempts...
The joint probability density function of the random variables X, Y, and Z is (e-(x+y+z) f(x, y, z) 0 < x, 0 < y, 0 <z elsewhere (a) (3 pts) Verify that the joint density function is a valid density function. (b) (3 pts) Find the joint marginal density function of X and Y alone (by integrating over 2). (C) (4 pts) Find the marginal density functions for X and Y. (d) (3 pts) What are P(1 < X <...