. The average monthly rainfall (AMR) in inches is a random variable with the cumulative distribution... (2024)

  • Please answer from a-dProblem 2. Let X be a random variable with one of the...

    . The average monthly rainfall (AMR) in inches is a randomvariable with the cumulative distribution... (1) Please answer from a-dProblem 2. Let X be a random variable with one of the following cumulative distribution function. 1.2 1,2 1.0 1.0 0.8 0.8 0.6 0.6 0.4 0.4 0.2 0.2 0.0 0.0 -1.0 -0.5 0.0 0.5 1.0 1.5 2,0 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 X X Pick the correct cumulative distribution function plot and answer questions: Page 2 of 9 Write down the probability mass function and What is the PMF of X? A. Poisson (3...

  • Please answer from b-d aspriority!Problem 2. Let X be a random variable with one...

    . The average monthly rainfall (AMR) in inches is a randomvariable with the cumulative distribution... (2) Please answer from b-d aspriority!Problem 2. Let X be a random variable with one of the following cumulative distribution function. 1.2 1.2 1.0 1.0 0.8 0.8 0.6 0.6 0.4 F 0.4 0.2 0.2 0.0 0.0 -1.0 -0.5 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 0.0 0.5 1.0 1.5 2.0 X Pick the correct cumulative distribution function plot and answer questions: Page 2 of 9 (3 pts) Write down the probability mass function and What is the PMF of...

  • 1. In St. Louis, the average amount of rainfall in June is 4.3 inches (meaning the...

    . The average monthly rainfall (AMR) in inches is a randomvariable with the cumulative distribution... (3)1. In St. Louis, the average amount of rainfall in June is 4.3 inches (meaning the daily mean is 4.3/30 inches). On average, 20 days of June experience no rain at all (meaning the probability of 0 inches of rain on any June day is 20/30). Assume the pdf of inches of rainfall per day is exponential, so that the pdf has the form below. (a) Find a and b (so that E(X)-4.3/30) (b) What is the chance of getting...

  • Define the random variable Y = -2X. Determine the cumulativedistribution function (CDF) of Y ....

    . The average monthly rainfall (AMR) in inches is a randomvariable with the cumulative distribution... (4)Define the random variable Y = -2X. Determine the cumulativedistribution function (CDF) of Y . Make sure to completely specifythis function. Explain.Consider a random variable X with the following probability density function (PDF): s 2+2 if –2 < x < 2, fx(x) = { 0 otherwise. This random variable X is used in parts a, b, and c of this problem.

  • I can't find the solution for(i), I tried the hint but still lostLet X...

    . The average monthly rainfall (AMR) in inches is a randomvariable with the cumulative distribution... (5)I can't find the solution for(i), I tried the hint but still lostLet X denote the amount of space occupied by an article placed in a 1-ft3 packing container. The pdf of X is below 90x8(1-x) 0 0<x<1 otherwise rx) = Adapt the following R code to graph the PDF in R. here the pdf is fx)-ax*u-x) 0<x<1 otherwise ### R Code a-a ; b-b ; ### You must plug in values for a and b. r seq(0,1,0,01)...

  • Question 1 A continuous random variable X which represents the amount of sugar (in kg) used...

    . The average monthly rainfall (AMR) in inches is a randomvariable with the cumulative distribution... (6)Question 1 A continuous random variable X which represents the amount of sugar (in kg) used by a family per week, has the probability density function c(x-102-x) 1sxs2 ; otherwise (0) (ii) (ii) Determine the value of c. Obtain cumulative distribution function Find P(X < 1.2). Consider the following cumulative distribution function for X. 06 0.8 1.0 Fx) 0.9 (i) Determine the probability distribution. (ii) Find P(X 1). (ii) Find P(OX5) Question 3 Consider the following pdf otherwise (i) (ii)...

  • Let X denote the amount of space occupied by an article placed in a 1-ft3 packing...

    . The average monthly rainfall (AMR) in inches is a randomvariable with the cumulative distribution... (7)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...

  • Suppose the cumulative distribution function of the random variable X is 0, x-0.8 F(x)-0.25x + 0.2,-0.8...

    . The average monthly rainfall (AMR) in inches is a randomvariable with the cumulative distribution... (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. Suppose X is a continuous random variable with the probability density function (i.e., pdf) given...

    . The average monthly rainfall (AMR) in inches is a randomvariable with the cumulative distribution... (9)2. Suppose X is a continuous random variable with the probability density function (i.e., pdf) given by f(x) - 3x2; 0< x < 1, - 0; otherwise Find the cumulative distribution function (i.e., cdf) of Y = X3 first and then use it to find the pdf of Y, E(Y) and V(Y)

  • Question 1 A continuous random variable X which represents the amount of sugar (in kg) used...

    . The average monthly rainfall (AMR) in inches is a randomvariable with the cumulative distribution... (10)Question 1 A continuous random variable X which represents the amount of sugar (in kg) used by a family per week, has the probability density function c(x-1(2-xsxs2 ; otherwise f(x) (i) Determine the value of c ii) Obtain cumulative distribution function (iii) Find P(X<1.2). Question 2 Consider the following cumulative distribution function for X 0.3 0.6 0.8 0.9 1.0 (i) Determine the probability distribution. ii) Find P(X<1). iii Find P(O <Xs5). Consider the following pdf ,f(x) = 2k ; 1<x<2...

  • . The average monthly rainfall (AMR) in inches is a random
variable with the cumulative distribution... (2024)
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