Given that Z- N(0, 1), find the value of m, given that: (a) P(m <2< 2.878) = 0.4968 (b) P(-0.674 < Z < m) = 0.725 (c) P(-2.63

Q: let f(x)= X be 1 213 (-√5 < X<√) Y.V Pind P{/X/7/1.5},

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Q: let f(x)=ex for 0 < x < 1 Approximate f(0.25) using linear interpolation with x0=0  and x1=0.5 .…

A: Substitute x0=0 and x1=0.5 in fx=ex  and calculate L0(x) and L1(x), to construct the Lagrange…

Q: Suppose that G(t) gives the number of gallons of gas left in your car t hours after you started your…

A: (a). It is given that the function Gt represents the number of gallons of gas left in the car after…

Q: Section I 3. Suppose that X is a discrete random variable with pmf |4- r|+ 4 f(z) for =-6,-3,0,3,6,…

A: Solution

Q: Given the functions: g(n)=15n4+500n³, h(n)=5000n³.5+nlogn Decide if the assertions are right or…

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Q: (b) Determine the value of k for which p(x) = k (0.01)*, x=1, 2, 3, ... x-1

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Q: (a) Given that X∼N(18,22) Find, (i) P(X6.2) Answer:Round your answer to 4 decimal places.Your…

A: From the information, given that(a)Let X denotes the random variable which follows normal…

Q: Suppose that F'(x) O... = 8+4ln(3/5) O... 16+4ln(5/3) = O = 8+2ln(3/5) O 16ln(5/3) = x X 2 Then F(7)…

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Q: Ž (-1)k k=1 2.3k (b)

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Q: The divided difference table above is for the data: X are: f(x) (4) ao = -0.2 0.0 0.1 a) Do not…

A: The divided difference table is used to determine the interpolating polynomial using the divided…

Q: A. If X~N(196,20), find x such that Pr(X < x) = 0.945.

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Q: (c) Show that f(x)>0 for all values of x, x # -2.

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Q: D) Identify the even function among the following. A) f(x) = 2|x| - x² %3D B) h (x) = 2x – x² %3D C)…

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Q: Consider p(x) = (x - 1.5001)(x - 1.5)(x - 1.4999). |p| \rp'(r)] Evaluate the formula = at the root…

A: As per norms, we will be answering the first question. If you need an answer to others, then kindly…

Q: The function f(x) = 1/(x+1) is given. Using the points x0 =0, x1 =0.3, x2 =0.4, x3 =0.5; a) Write…

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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: (d) P(X > 7) = i (e) Determinex such that P(X < x) = 0.99. X = i

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Q: (–1)" >) Given: In(1 + x) = if x < 1. n + 1 n=0 2. Evaluate f(2022) (0).

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Q: s+a s+b

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Q: (9 – x² , x < 2 2. Given f(x) = { vx + 7, 2< x < 10, give the values of the following: [x – 4] ,x 2…

A: the given function is: we have to determine the value of f(2). as at x=2, f(x)=x+7 therefore,…

Q: On step 3, why is it that you're substracting 1 from [ P(x=0) + P(x=1) + P(x=2) + ......P(x=9)] ?

A: Let the R.V X denotes the number of computers has virus and it follows the binomial distribution…

Q: find the greatest value of the function within the intervals f(x) = /(1– x² )(1+2x²) in [–1,1].…

A: Let's find.

Q: 12x iet f (x) = 2x-17 for x 10 a. Find f(4)=_ b. Find f(24)=.

A: The probability density function is fx=12x-17 , for x&lt;106x+2 , for x≥10.

Q: Given the function -За t(x) = 1 372 + 2x + 11 x > 0 Calculate the following values: t(10) = t( – 7)…

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Q: Find the Bernstein Poly nomial when You put n =5. that means want to find Bn (f/(x)

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Q: D: Show that the equation z' +pz -g? = 0.

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Q: If P(E) = 0.60, P(E or F) = 0.75, and P(E and F) = 0.10, find P(F). P(F) = (Simplify your answer.)

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