1. (1 point) The cumulative distribution function for a ran- dom variable X is: 2 Calculate the following probabilities: Pr(1.5 3X < 4.3) - Pr(2.3 3X < 4.6)- Answer(s) submitted: (incorrect) 2....
1. (1 point) The cumulative distribution function for a ran- dom variable X is: 2 Calculate the following probabilities: Pr(1.5 3X < 4.3) - Pr(2.3 3X < 4.6)- Answer(s) submitted: (incorrect) 2. (1 point) The cumulative distribution function for a ran dom variable X is: 64 64 63 63x2 Find the corresponding density function f(x) Answer: f(x)- Answer(s) submitted: (incorrect) 3. (1 point) Compute the cumulative distribution function F(x) corresponding to the density function 2 37) Answer: F(x)- Answer(s) submitted:...
1. (1 point) Evaluate the integral using the FTC 1 Answer(s) submitted: (incorrect) 2. (1 point) Calculate the derivative: Answer(s) submitted. (incorrect) 3. (1 point) Find area of the region u 3x3-5 and above the x-axis, for 2 nder the curve y 4. x area Answerfs) submitted: incorrect) 4. (1 point) The value of (x+5)2dx is 0. Answerts) submitted (incorrect) 5. (1 point) The value of ^ ^dx i Answerts) submitted: (incorrect) 6. (1 point) Evaluate the definite integral (16-x*)dx...
The cumulative distribution function for a continuous random variable X is given by 0, S 0 F(x) = 1, r 21. (a) Find the density fx for X. (b) Find the mean ? and variance ?2 for X.
2. Let X be a discrete random variable with the following cumulative distribution function 0 0.2 0.5 ェ<2, 2-1<5.7, 5.7-1 6.5, 6.5 <エ<8.5, F(z)= 18.5 エ a) Find the probability mass function of X b) Find the probabilities P(x>5), P(4<X 6x> 5) c) If E(X) = 5.76, find c.
S 4, with the density function 1. (10 points) Let X be a continuous random variable on 3 S f(x) = 2x - 3). a/ CNculate Pr(3.2 S X) and Pr(3 < X) b/ Find E(X) and Var(x) 2. (10 points) For any number A, verify that fæ) -e-, 12 A is a density function. Compute the assocuated cumulative distribution for X
1. A random variable X has the cumulative distribution function exe F(X) = 1 + ex • Find the probability density function • Find P(0 < X < 1)
By specifying its probability function,px, and a random variable X with cumulative distribution function:FX(t) =8>>>>>>>>><>>>>>>>>>:0; t <31=3;3t <41=2;4t <52=3;5t <61; t6Calculate Pr(3X4).
12. (15 points) Let X be a continuous random variable with cumulative distribution function 0, <a Inz, a<<b 1, bsa (a) Find the values of a and b so that F(x) is the distribution function of a continuous random variable. (b) Find P(X > 2). (c) Find the probability density function S(x) for X. (d) Find E(X)
Can you please solve 7 and 8.
Thank you
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12. (15 points) Let X be a continuous random variable with cumulative distribution function **- F() = 0, <a Inx, a < x <b 1, b<a (a) Find the values of a and b so that F(x) is the distribution function of a continuous random variable. (b) Find P(X > 2). (c) Find the probability density function f(x) for X. (d) Find E(X)