2. [20 Points) Let X denotes the amount of space occupied by an article placed in...
2. [20 Points) Let X denotes the amount of space occupied by an article placed in a l-ftºpacking container. The pdf of X is kx® (1 - x) 0<x<1 otherwise f(x) = { a. b. c. Find the constant k. (Hint: integrate within the bound and set =1, then solve fork) Construct the cdf of X Calculate the expected value of X.
please help! write clearly and in detail :) 2. [20 Points) Let X denotes the amount of space occupied by an article placed in a 1-ft packing container. The pdf of X is f(x) = {. kx®(1-x) 0 <x51 otherwise a. b. Find the constant k. (Hint: integrate within the bound and set =1, then solve for k) Construct the cdf of X. Calculate the expected value of X
2. Let X denote the amount of space occupied by an article placed in a 1-ft packing container. The pdf of X is f(x)=90x8 (1 – x) for 0<x< 1 and zero otherwise a) What is the CDF of X b) What is P(X < 0.5) ? c) What is P(0.25 <X < 0.5? And P(0.25 < X <0.5) ? d) Compute E(X)and V(X) e) What is the probability that X is more than one standard deviation from its mean...
Let X denote the amount of space occupied by an article placed in a 1-ft packing container. The pdf of X is below. | 42x5(1 - x) 0<x< 1 otherwise (b) What is PIX S 0.6) [i.e., F(0.6)]? (Round your answer to four decimal places.) (c) Using the cdf from (a), what is P(0.3<XS 0.6)? (Round your answer to four decimal places.)
Let X denote the amount of space occupied by an article placed in a 1-ft packing container. The pdf of X is below. 56x6(1 - x) 0 x 1 f(x) = otherwise Obtain the cdf of X. 0 0 > X F(x) 0 s x s 1 1 x > 1 Graph the cdf of X F(x) F(x) 1.0 1.0 0.8 0.8 0.6 0.6 0.4 0.4 0.2 0.2 1.0 0.8 0.6 0.4 0.2 1.0 0.8 0,6 0.4 0.2 F(x F(x)...
Let X denote the amount of space occupied by an article placed in a 1-ft3 packing container. The pdf of X is below. f(x) = 72x7(1 − x) 0 < x < 1 0 otherwise (a) Graph the pdf. Obtain the cdf of X. F(x) = 0 x < 0 0 ≤ x ≤ 1 1 x > 1 (a) Using the cdf from (a), what is P(0.3 < X ≤ 0.6)? (Round your answer to four...
Will rate!! Let X denote the amount of space occupied by an article placed in a 1-ft3 packing container. The pdf of X is below. 72x'(1-x) 0 0<x<1 otherwise f(x) = Adapt the following R code to graph the PDF in R. axb(1-x) 0 < x < 1 otherwise where the pdf is f(x) = ### R Code a-a ; b-b , # # # You must plug in values for a and b. r-seq(0, 1,0.01) # Defines range of...
Let X denote the amount of space occupied by an article placed in a 1-ft3 packing container. The pdf of X is below. f(x) = 90x8(1 − x) 0 < x < 1 0 otherwise (a) Graph the pdf. Obtain the cdf of X. F(x) = 0 x < 0 0 ≤ x ≤ 1 1 x > 1 Graph the cdf of X. (b) What is P(X ≤ 0.65) [i.e., F(0.65)]? (Round your answer to four decimal places.)...
Let X denote the amount of space occupied by an article placed in a 1-ft3 packing container. The pdf of X is belovw otherwise Adapt the following R code to graph the PDF in R Where the pdf is fx)x( -x) 0< 1 ### R Code a-a ; b b ; ### You must plug in values for a and b. r-seq (0,1,0.0!) # Defines range of X from 0 to 1 pdf = function(x)(a*x^b"(1-x)} # Creates the pdf function...
1 Let X denote the amount of space occupied by an article placed in a 1-ftpacking container. The pdf of X is below. F(x) = {72x6 *otherwise Obtain the cdf of X. x < 0 0<x<1 F(x) = { X> 1 (b) What is P(0.7) [i.e., F(0.7)]? (Round your answer to four decimal places.) (c) Using the cdf from (a), what is P(0.45 < X < 0.7)? (Round your answer to four decimal places.) What is P(0.45 SXS 0.7)? (Round...