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If a random variable X has the gamma distribution with ?= 2 and ?= 1, find...
If X has a gamma distribution with alfa = 2 and beta = 1, find pl...
If X has a gamma distribution with alfa = 2 and beta = 1, find pl 1.6 < X <2.8) Goma Distidiosa Fox) = f(...) for x 30 Q2. Let X be a continuous random variable with f(x) = 0.5ež for x > 0 and 0 otherwise. Find the expected value of g(x) = ei x <2.8) for xxo Gumma. Distribution F() =fQ, XB) - Ba otherwise
A mixed random variable X has the cumulative distribution function e+1 (a) Find the probability density...
A mixed random variable X has the cumulative distribution function e+1 (a) Find the probability density function. (b) Find P(0< X < 1).
Suppose the cumulative distribution function of the random variable X is 0, x-0.8 F(x)-0.25x + 0.2,-0.8...
Suppose the cumulative distribution function of the random variable X is 0, x-0.8 F(x)-0.25x + 0.2,-0.8 sx <3.2 1,3.2 sx Round your answers to 3 decimal places Determine the following ) P(X 1.8)-065 b) P(X >-1.5) = c) P(X -2) exact number, no tolerance
2-2.3 A probability distribution function for a random variable has the form F,(x) = A(1-exp[-(x-1)) 1...
2-2.3 A probability distribution function for a random variable has the form F,(x) = A(1-exp[-(x-1)) 1 < x < oo -00<xs1 a) For what value of A is this a valid probability distribution function? b) What is Fx (2)? c) What is the probability that the random variable lies in the interval 2 X < 00? d) What is the probability that the random variable lies in the interval 1 <X s3?
Let x be an exponential random variable with 1 = 0.7. Calculate the probabilities described below....
Let x be an exponential random variable with 1 = 0.7. Calculate the probabilities described below. a. Plx < 4) P(x<4) = (Round to four decimal places as needed.) b. P(x > 8) P(x > 8) = 0.0017 (Round to four decimal places as needed.) c. P(4 SX 58) P(4 x 8) = (Round to four decimal places as needed.) d. Plx 3) P(x 3) = (Round to four decimal places as needed.) e. the probability that x is at...
Exercise 3.37. Suppose random variable X has a cumulative distribution function F(x) = 1+r) 720 x...
Exercise 3.37. Suppose random variable X has a cumulative distribution function F(x) = 1+r) 720 x < 0. (a) Find the probability density function of X. (b) Calculate P{2 < X <3}. (c) Calculate E[(1 + x){e-2X].
2. A random variable X has a cdf given by F(x) = 1 . x <...
2. A random variable X has a cdf given by F(x) = 1 . x < 0 0 < x < 1 <3 x > 3 11, (f) What is P(X = 1)? (g) Find E(X), the expectation of X. (h) Find the 75th percentile of the distribution. Namely, find the value of 70.75 SO that P(X < 70.75) = F(710.75) = 0.75. (i) Find the conditional probability P(X > X|X > 3).
- ACUJU 1. (6%) Let X be a random variable with probability distribution (1+x **,-1<x< 1...
- ACUJU 1. (6%) Let X be a random variable with probability distribution (1+x **,-1<x< 1 0, elsewhere Find the probability distribution of the random variable Y = X2.
Let X be a discrete random variable that follows a Poisson distribution with = 5. What...
Let X be a discrete random variable that follows a Poisson distribution with = 5. What is P(X< 4X > 2) ? Round your answer to at least 3 decimal places. Number
-l0 1- e-2x x MO 2) The distribution function for a random variable X is f(x)...
-l0 1- e-2x x MO 2) The distribution function for a random variable X is f(x) x <0 Find a) the density function 2 b) the probability that X 4 c) the probability that -3 <x 6inotion
If X has a gamma distribution with alfa = 2 and beta = 1, find pl 1.6 < X <2.8) Goma Distidiosa Fox) = f(...) for x 30 Q2. Let X be a continuous random variable with f(x) = 0.5ež for x > 0 and 0 otherwise. Find the expected value of g(x) = ei x <2.8) for xxo Gumma. Distribution F() =fQ, XB) - Ba otherwise
A mixed random variable X has the cumulative distribution function e+1 (a) Find the probability density function. (b) Find P(0< X < 1).
Suppose the cumulative distribution function of the random variable X is 0, x-0.8 F(x)-0.25x + 0.2,-0.8 sx <3.2 1,3.2 sx Round your answers to 3 decimal places Determine the following ) P(X 1.8)-065 b) P(X >-1.5) = c) P(X -2) exact number, no tolerance
2-2.3 A probability distribution function for a random variable has the form F,(x) = A(1-exp[-(x-1)) 1 < x < oo -00<xs1 a) For what value of A is this a valid probability distribution function? b) What is Fx (2)? c) What is the probability that the random variable lies in the interval 2 X < 00? d) What is the probability that the random variable lies in the interval 1 <X s3?
Let x be an exponential random variable with 1 = 0.7. Calculate the probabilities described below. a. Plx < 4) P(x<4) = (Round to four decimal places as needed.) b. P(x > 8) P(x > 8) = 0.0017 (Round to four decimal places as needed.) c. P(4 SX 58) P(4 x 8) = (Round to four decimal places as needed.) d. Plx 3) P(x 3) = (Round to four decimal places as needed.) e. the probability that x is at...
Exercise 3.37. Suppose random variable X has a cumulative distribution function F(x) = 1+r) 720 x < 0. (a) Find the probability density function of X. (b) Calculate P{2 < X <3}. (c) Calculate E[(1 + x){e-2X].
2. A random variable X has a cdf given by F(x) = 1 . x < 0 0 < x < 1 <3 x > 3 11, (f) What is P(X = 1)? (g) Find E(X), the expectation of X. (h) Find the 75th percentile of the distribution. Namely, find the value of 70.75 SO that P(X < 70.75) = F(710.75) = 0.75. (i) Find the conditional probability P(X > X|X > 3).
- ACUJU 1. (6%) Let X be a random variable with probability distribution (1+x **,-1<x< 1 0, elsewhere Find the probability distribution of the random variable Y = X2.
Let X be a discrete random variable that follows a Poisson distribution with = 5. What is P(X< 4X > 2) ? Round your answer to at least 3 decimal places. Number
-l0 1- e-2x x MO 2) The distribution function for a random variable X is f(x) x <0 Find a) the density function 2 b) the probability that X 4 c) the probability that -3 <x 6inotion
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