20 If X has the distribution function CDF described below. Find F (4). * F(x) 1/3 1/2 >1

Q: Given the cumulative distribution function (c.d.f) if x < -3 if - 3 <x <1 0, x4 4 F(x) = 6 1, if 1<…

A: The value P(-2≤X&lt;0.5) is: Here, the interval is between-3≤X&lt;1, take F(x)=x+4/6

Q: Determine the values of m and k so that the function is continuous everywhere. kx² +m, g(x) = 4x+1,…

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Q: © Z, =4+2i f Zz=2+4Ľ,Then Simplify as a+bi: (2i-1). * 2-i I+ i Solve: @ z'-27=0', © z- 81 = 0 z-…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Using the function f (x) = x3 + 0,4x2 + x, the following data set was created.Using this data set,…

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Q: rity that the following function is a lative distribution function. 0 F(x)=0.5 1 ound your answers…

A: Solution

Q: Births are approximately uniformly distributed between the 52 weeks of the year. They can be said to…

A: Continuous uniform distribution: A random variable X is said to have the rectangular distribution or…

Q: Evaluate the following F(5;4) (the incomplete gamma

A: F(5; 4): Formula: Fx;α=∫0x1γαyα-1e-ydy Consider, F5;4=∫051γ4y4-1e-ydy          =16∫05y3e-ydy…

Q: proba

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Q: Which of the following functions are continuous for all x-values" (Select all that apply.) Function…

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Q: 2. Suppose rand() is a function that uniformly at random gives a real number between 0 and 1. Write…

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Q: Suppose there are m bowls, such that each bowl contains 6 red balls and 5 green balls. Hannah…

A: According to question,                      x balls have to select with replacements, and the…

Q: line. Show that f(x) = 1 is uniformly continuous on the entire real x² + 1

A: Given: Function, fx=1x2+1To prove: fx is uniformly continuous on ℝ.

Q: Suppose that X is normally distributed with u = 10 ando 2. Find P(IX 10|S3)

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Q: Which of the following are specified by the central limit theorem? (Select all that apply.)

A: Which of the following are specified by the central limit theorem? (Select all that apply.)   the…

Q: For a highway, the car's speed has a uniform distribution [50,90]. Cars are stopped if speed X is…

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Q: Let X follow a binomial distribution. Show that Var[X] ≤ E[X]

A: Let us consider X follow a binomial distribution with parameter n &amp; p, then X~Bin(n,p)  We know…

Q: At a particular fast-food restaurant, food is often made in advance, and then it is placed under a…

A: The given function

Q: x+k , if x<2 x² +4 , if x22 For what value of k is the function y = < continuous? k =

A: Continuous function. Given function f is continuous if its left hand limit is equal to its right…

Q: If the cumulative distribution function of X is given by x2) b. P(X>2) c. P(X < 2) d. P(X < 2)

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Q: Pls help ASAP

A: Option E [(iii) only] is true.

Q: g. Calculate V(X) and σx. h. If the borrower is charged an amount h(X)=X² when checkout duration is…

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Q: line. Show that f(x) = x² +1 is uniformly continuous on the entire real

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Q: population size, and size of firms is the Pareto family. One such member of the P family is the…

A: Given that  Pdf of X is  f(x) = (c/x3)  , x &gt; 2

Q: Suppose that f(x) = e¯(x − 4) for 4 < x. Determine the following: P(1<X) P(5<X) x such that P(X < x)…

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Q: Which of the following are specified by the central limit theorem? a. the mean of a specific sample…

A: here we know that The Central Limit Theorem, the distribution of the sample means approximates a…

Q: Determine whether the following is a valid distribution function F(X) = 1- e/2 for x>0

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