3. For each of the following distributions, find the expected value of X a) f (x;0)...
3. For each of the following distributions, find the expected value of X (a) f(z,8) = θ(1-9)"-, z = 1, 2, . . . . 0 (b) f(z,8) = (θ + 1)2 , z > 1,0 > 0 (e) f(z,8) = θ2ze-e", z > 0, θ > 0 9s 1 -0-2
Given the probability distributions shown to the right, complete the following parts. a. Compute the expected value for each distribution. b. Compute the standard deviation for each distribution. c. What is the probability that x will be at least 3 in Distribution A and Distribution B? d. Compare the results of distributions A and B. Distribution A: xi Distribution A: P(X=xi) Distribution B: xi Distribution B: P(X=xi) 0 0.02 0 0.49 1 0.09 1 0.24 2 0.16 2 0.16 3...
Given the probability distributions shown to the right, complete the following parts. a. Compute the expected value for each distribution. b. Compute the standard deviation for each distribution. c. What is the probability that x will be at least 3 in Distribution A and Distribution B? d. Compare the results of distributions A and B. Distribution A Distribution B x Subscript ixi P(Xequals=x Subscript ixi ) x Subscript ixi P(Xequals=x Subscript ixi ) 0 0.480.48 0 0.050.05 1 0.240.24 1...
(15 pts) Determine the missing value(s) that would make the following valid probability distributions. f (x)-a + bx if 0 3 x <6. E(X) 2. Find a and b. (25 pts) Determine the expectation, variance, standard deviation, and cumulative distribution function (c.d.f) for each of the following: A random variable that represents the outcome of rolling two (fair) dice. (10 pts) In a game, a player flips a coin three times. The player wins S3 for every head that turns...
Find the average value of the function f(x) =x2-5 from x = 0 to x=3. The average value of the function f(x)=x2-5 from x = 0 to x = 3 is □ Find the average value of the function f(x) =x2-5 from x = 0 to x=3. The average value of the function f(x)=x2-5 from x = 0 to x = 3 is □
f(x) = (kx + 1)/25 , x = 0, 1, 2, 3, 4. 1. Find the value of k that makes f a probability mass function. Graph f. 2. What is the expected number of days a rat will spend in the maze? 3. Find and graph the cumulative distribution of the number of days a rat will spend in the maze. Conditional on the fact that a rat spends at most 3 days in the maze, what is the...
Find the expected value E(X), the variance Var(X) and the standard deviation σ(X) for each of the density functions in f (x) = 3 4 (1 − x2) on [−1, 1]
The graph of f is shown to the right. The function F(x) is defined by for . a) Find F(0) and F(3). b) Find F'(1). c) For what value of x does F(x) have its maximum value? What is this maximum value? d) Sketch a possible graph of F. Do not attempt to find a formula for F. (You could, but it is more work than necessary.) We were unable to transcribe this imageWe were unable to transcribe this image9-3....
Suppose f is continuous, f(0)=0, f(2)=2, f'(x)>0 and f (x) dx = 1. Find the value of the integral fro f-?(x) dx =?
1. Find lim f(x) and lim f(x) for each of the following. Assign oo or - where appropriate: (a) f(z)=42 -2 (b) f(x)= 3r-2 (e) f(1)--5rt6 (x - 2)2 2. Find each of the f limits, assigning oo or-o where appropriate x+2z-1 (b)lm 3r-2 3 r-2 (c) li 42+1 (k) im (2r V4r2-8r 3) 15r-2 3. Find the horizontal and vertical asymptotes of each of the following functions 4. Sketch the graph of each of the following functions and determine,...