(1 point) The following density function describes a random variable X F(x) = m if 0 and if 8<x< 16. Draw a g...
15. The following density function describes a random variable X. fx) (x81) if 0<x<9 and nx)-(18-x)/81 if 9<x-18. Draw a graph of the density function and then use it to find the probabilities below: a. i. Find the probability that X lies between 1 and 8. ii. Find the probability that X lies between 8 and 11. ii. Find the probability that X is less than 10. iv. Find the probability that X is greater than 7.
Please help me with this problem 1 point) The following density function describes a random variable X. A. Find the probability that X lies between 2 and 4. Probability: B. Find the probability that X is less than 3. Probability:
The density of random variable X is f(x) = 5(Xº+1)(3-X) for 1<x<3 and 0 otherwise. Using the R integrate function: 68 a) Find the probability that X > 2.10 b) Find the probability that 1.5 < X < 2.5 c) Find the expected value of x d) Find the standard deviation of X e) In the following paste your R script for this problem
1. A continuous random variable has probability density function f(x) = 2x for all 0 < x < 1 and f(x) = 0 for all other 2. Find Prli <x< 1. O 1 16 O OP O . O 1
2x 0<x<1 Let X be a continuous random variable with probability density function f(x)= To else The cumulative distribution function is F(x). Find EX.
help a random variable X has density function f(x) = cx2 for 0<x<3 and f(x)= 0 others. a. Find constant value o b. Find probability P(1 < X < 2)
1. Let X be a continuous random variable with probability density function f(x) = { if x > 2 otherwise 0 Check that f(-x) is indeed a probability density function. Find P(X > 5) and E[X]. 2. Let X be a continuous random variable with probability density function f(x) = = { SE otherwise where c is a constant. Find c, and E[X].
EXERCISE (x2+1), where . < 1) A random variable X has the density function f(x)= a) Find the value of the constant C b) Find the probability that X lies between 1/3 and 1
2.5.6. The probability density function of a random variable X is given by f(x) 0, otherwise. (a) Find c (b) Find the distribution function Fx) (c) Compute P(l <X<3)
(1 point) A random variable with probability density function p(x; 0) = 0x0–1 for 0 <x< 1 with unknown parameter 0 > 0 is sampled three times, yielding the values 0.64,0.65,0.54. Find each of the following. (Write theta for 0.) (a) The likelihood function L(0) = d (b) The derivative of the log-likelihood function [ln L(O)] = dᎾ (c) The maximum likelihood estimate for O is is Ô =