Suppose that f(x) =1.5x2 for -1 < x < 1. What is P(0<x)?
For the function listed above, what is P(-0.5< X < 0.5)?
Still using the function above, what is P(X<-3)?
Suppose that f(x) =1.5x2 for -1 < x < 1. What is P(0<x)? For the function...
Suppose that f (x) = 1.5X2 for -1 < X < 1 . Determine the following probabilities a) p(0<X) = 0.5 b) P(0.6< X)0.284 c) P(-0.5sX 0.5) = 0.125 (Round the answer to 3 decimal places.) Round the answer to 3 decimal places.) f) Determine x such that P(x < = 0.05 Round the answer to 3 decimal places.)
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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...
1. Consider the following function: 4x 0<x<0.5 f(x)= 4- kx 0.5 <x<1 0 Otherwise a) (5%) Determine k such that f(x) is a probability density function. b) (6%) Determine CDF of x. c) (4%) Using CDE, what is the p(x 0.75) d) (4%) Using CDE what is p(x<0.6) e) (4%) Determine E(x) Type here to search o TT
2) Suppose that X has density function f(a)- 0, elsewhere Find P(X < .3|X .7).
2. Suppose a r.v. X has the density function 2 x, for 0<x<1 f(x) = 10, otherwise Observe X independently for three times, let y denote the number of an event {X<0.5) occurring in three times. (1) What is the probability of the event {X<0.5}? (2) What is the probability distribution of Y ? Write out its probability mass function
Find the quantile function F^(-1)(p) (if one exists) of F(x) = {0 for x<= 0, (1/9)x^2 for 0<x<=3, 1 for x>3. For this, set the CDF equal to p and solve for x. This x is then F^(-1)(p).
Suppose that the probability density function of X is f(x) {cx3 0 1< x < 5 otherwise where c is a constant. Find P(X < 2).
Suppose that the probability density function of X is f(x) {cx3 0 1< x < 5 otherwise where c is a constant. Find P(X < 2).
(1) Suppose that X is a continuous random variable with probability density function 0<x< 1 f() = (3-X)/4 i<< <3 10 otherwise (a) Compute the mean and variance of X. (b) Compute P(X <3/2). (c) Find the first quartile (25th percentile) for the distribution.
Suppose that the probability density function of X is f(x) {cx3 0 1< x < 5 otherwise where c is a constant. Find P(X < 2).