Example -Homework The cumulative distribution function for the random variable X is given by x<0 F(x) = {+(6x²- x) 0sxs 4 1 x>4 Calculate P(2< X <3).

Q: Given the function below, solve for the following F(x)= ) = - ² < y < 4 0, elsewhere a. Verify that…

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Q: What is the value of R in kN? rate will be given!

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Q: g. Find P(Y> 1 | X = ¹₂). h. Find P(X>½ | Y = 1). i. Determine if the random variables are…

A: The probability distribution is the given probability distribution on all possible pairs of outputs…

Q: 2. Suppose X is a binomial random variable with n= 5 and p = 0.5. a. DisplayP(x) in tabular form. b.…

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Q: Pressure readings were recorded for methane gas confined in a closed volume at 4 different…

A: The pressure and temperature relation is as follows:

Q: ll rate choose the correct answer in the choices bellow

A: From the dotted line Divide the triangle in two parts ACE and BCE Draw the diagram

Q: 3. Consider the function f(x) fx (x) = k-(x+2)/2_1<x< 3 O otherwise Which is being used as a…

A: We knowPx(x)=∫-∞∞f(x)dx=1so,f(x)=k-(x+2)2Px(x)=∫-∞1f(x)dx+∫13f(x)dx+∫3∞f(x)dx=1∫13f(x)dx=1

Q: Plot the functions, y = x , y = 10x , and y = log x . Vary the x value from 1 to 3. Is the function…

A: Given: The functions are given as, y=x , y=10x and y=logx.

Q: If the probability P (a < x < b ) = 0.0395 for the function Y = 3 X 2 and a = 0.15, find the value…

A: Given: Pa&lt;X&lt;b=0.0395 Calculation: Since, Pa&lt;X&lt;b=∫abfxdx. Substitute the given function…

Q: 2. A wooden block with a weight of 1500 grams, dimension of the block are as follow: Length = 200…

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Q: IV. Using Chebyshev's theorem, solve these problems for a distribution with a mean of 80 and a…

A: Given data: chebyshev's theorem. mean= 80  standard deviation=10

Q: The following data gives the approximate population of the world for selected years from 1850 until…

A: Population growth can be modeled with an exponential function p = bemx where x is the year and p is…

Q: If A is 8% taller than B, while B is 9% taller than C, by how much in percent is A taller than C?…

A: given  A is 8% taller than B B  is 9% taller than C  It means A=1.08 B               B = 1.09 C

Q: Dry Unit Weight vs Water Content Water Content Dry Unit Weight, (w, %) Sample (v, N/m³) 1 10.45…

A: Ans.  During compaction as we increase moisture content, dry density increase upto a certain value…

Q: In the figure below, the weights of the top, middle, and bottom blocks are are follows: • top block…

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Q: 1. Given the joint density function (6 – x - y 0 <x < 2,2 < y < 4, f(x,y) = 8 0, elsewhere a. Verify…

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Q: The peanut crop was harvested from five fields of various area. The following data are the mass of…

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Q: 2. A wooden block with a weight of 1500 grams, dimension of the block are as follow: Length = 200…

A: Given, W = 1500 gm or 1.5 kg L = 200 mm or 0.2 m B = 50 mm or 0.05 m  H = 100 mm or 0.1 m

Q: Find the probability that a normal random variable X with mean µ = 30 and standard deviation o = 6…

A: Given that..... Option A is correct

Q: 15. The table below shows the number of hours ten students spent studying for a test and their…

A: The given data is shown below:

Q: Estimate the population in 2010 using; a) Linear method b) Exponential and c) Compounding method…

A: Before designing any reservoir or tank for city population then the future population has to be…

Q: For the blue shaded area shown in the image below, if dimension a = 1.7 m, determine its area moment…

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Q: Assume that two random variables X. Y) arc uniformly distributed on a circle with radius a. Then the…

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Q: Define the Values of factor f for Baguelin et al  (1978)  ?

A: The flow of fluid includes movement of an unbalanced fluid. As long as unequalled forces are in…

Q: In the Figure 1, if Q= 40 N, P = 50 N, and B = 145°, then R is equal to (in N): Figure 1: C R A Q B…

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Q: In 2006, the median price of an existing home in the United States was approximately $222,000. In…

A: Given:- At 2001, median price is 150900 At 2006, median price is 222000

Q: Suppose X is a random variable defined as final cost of project X = estimated cost of project which…

A: The random variable X can be expressed as, X=FC Here, the variable is X, F, is the final cost of the…

Q: 19. A distance was measured on an 8% slope and found to be 2620.30 m. What is the horizontal…

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Q: Note: Use two (2) decimal places in the final answer. 40 k E T. 30 k D N 20 k M R

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Q: If P(-X < Z < +X) = 0.9198, find the value of X using Standard Normal Distribution table.

A: Solution Let the area to the left of -x and right of +x be a Therefore, a + a + 0.9198 = 1 2a  = 1-…

Q: B/ Let X be a continuous random variable whose probability density function is f(x) =x³/2 for an…

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Q: The probability density function of X is as below. What is the cumulative distribution function of X…

A: Cumulative distribution of X

Q: Calculate the magnitude of the resultant vector given the diagram below and the following table of…

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Q: (c) Determine the value of k if p(x) is a probability mass function. (6) = { KG-1) x= 3,4,5…

A: Detailed solution below in image formate. Hope it will help you. Good luck.

Q: 5. Determine the expectation of the random variable x, which has probability distribution given…

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Q: Q2 (a) i Determine the constant amount of C so that the random variable X is a valid probability…

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Q: Exercise 4.1. If the joint probability distribution of X and Y is given by r + y f(x, y) = 30 for r…

A: Answer f(x,y) =x+y30 for x=0,1,2,3 and y=0,1,2 (a) P(x≤2,y=1) P(x=0,y=1)+P(x=1,y=1)+P(x=2,y=2)…

Q: Student A B D E F H I Number 201780130 2 1. 7 1. 3 Evaluate the following variables and use them as…

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Q: 2.) ANALYZE COMPLETELY AS PRESENTED IN THE POWERPOINT LECTURE. You may not copy the problem.…

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Q: 10 15 Let/be the function whose graph is shown. Select each of the following intervals, if any, on…

A: The function f is continuous in the intervals [5,10) and [10,15]   There is a break at 10 so it…

Q: A worker applied force, P to move a box at a construction site as shown in Figure. The box was…

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

Q: Calculate the distance from the base of a rectangle to the centroid of its area. Assume the width of…

A: Let b the width and h be the height of the rectangle. y¯=∫y dAA

Q: 4. The random variable x is the grade level of a secondary-school student selected at random. Its…

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Q: Assume that you have a random variable X which is binomially distributed, and someone told you that…

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Q: Q.2 Use linear Least-Squares regression to find the equation of the line that best fits the…

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