Use the following information for the next two problems: The cdf of X is given by: Find P​[X = 1] Find P​[X > 1].

Q: By using Lagrange interpolation, evaluate (3) if f(0) = 2, ƒ(1) =1 and f(4) = 4. 5.

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Q: The range for  √( 3 - x) is [0, ∞). true or false

A: The given expression is 3-x. Find the range. Range is defined as all possible output of the…

Q: Calculate f (9)using linear interpolation formula from the following table: 10 S(x) 9. 16

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Q: Giving f(0.23) = 0.362, f(0.53) = 0.143, f(0.86) = −1.143, please use inverse interpolating method…

A: Given that f0.23=0.362, f0.53=0.143, f0.86=-1.143. Using inverse interpolating method to get the…

Q: 1. If f(x) =+1 and g(x) = 1-V2x. Find f-1? Check your answer ? Draw f and g? Check your answer ?…

A: We have to find inverse function

Q: Find the thos of P(x) = x4 -81

A: To find the zeroes of given polynomial

Q: For which values of x does f(x) have a point of inflection? A x=t v6 8. x=t

A: Given that:f(x)=x2-1x3

Q: 1. 3 14 5 3 4 나 2 12

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Q: For the PMF Px(x) = = 2 x = 1, 3, otherwise. " calculate Var[X].

A: Answer:- Given pmf is  Px(x) = 1/2 , x= 1, 3  Px(x) = 0 , otherwise.  Using formula,  Var[X] = E(x2)…

Q: Find Ay for the given values of x1 and x2. 3x-7 :X= 2, Ax = 0.1 X-1

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Q: Find the deniva tive of the given Fimction log 4 (x) +16

A: Fx=log4x+16x⇒Fx=lnxln4+16x

Q: For a given table 1 3 6. 10 f (x) 4 7 11 15 Using linear interpolation formula, find f (5).

A: The linear interpolation formula  is given by  y=y1+(x-x1)y2-y1x2-x1 where, x1,y1 and (x2,y2) be two…

Q: What are the three requirements of linear regression?

A: these are the following three requirement of linear regression

Q: A desk lamp produced by The Luminar Company was found to be defective (D). There are three factories…

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Q: Out of a student group of 85 people, 39 people play basketball, 42 people play football and 25…

A: Introduction: Define the following events: B: Plays basketball; F: Plays football; T: Plays tennis;…

Q: Given that =, = [3,0.7]. -2 = [2. 1.2] and =; = [4,-0.5]. (a) find xz, and z, x z3 (b) show that [1,…

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Q: For what values of x is the given function r(x) increasing? r(x) = x – 322 +6

A: Given function r(x)=x3-3x2+6 find the values of x where the function r(x) is increasing

Q: What is the domain for f (æ) = Væ – 3.

A: Given fx=x-3

Q: Use the following tables for f(x) and g(x), and just fill in the tables shown below: 0 1 2 3 4 5 x y…

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Q: by using Rodrigues' formula  calculate P3(x)

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Q: Perform the experiment, tally your results, and calculate the probability. Simultaneously toss a…

A: From the definition of probability, if an experiment can occur in any of n mutually exclusive and…

Q: To determine whether car ownership affects a student's academic achievement, random samples of 100…

A: It is assumed that the population variances are not equal.

Q: Evaluate the following r+1 (1) -1+1 (i) 1² – x + 2

A: Given: I=∫x+1x2-x+1dx For evaluating given integral, we simplify given expression then integrate it

Q: d. Compute E(X) and Var(X).

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Q: 2 The function f is defined by fo= 2 for 15 2 x> -2. 8. @ find J, fexd dx

A: f(x)=2(x+2)2   for x>-2 We need to find  : ∫1∞f(x) dx

Q: Let A = {4, 8, 10, –4} and B = {64, 256, 400, 324}. Now, f : A → B defined by f(x) Answer the…

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Q: Compute f(x) for the data below: (0, 1), (1.25,3) and (3.25,7)

A: For the given data,since the difference between the x values are not same,we are going to find the…

Q: Find L{f(t)}of the following functions. Note: a, b, e, k and n are constants.

A: Given, f(t)=t cos 8t + 2 Taking Laplace transform, we get L{f(t)}=L{t cos 8t + 2} ⇒L{f(t)}=L{t cos…