: p(y-2|<10) p(z <2) =0.9772 y- N(2,25) 0.4594 0.5944 O 0.9544

Q: (8) Let X-b(n,p), with E(X) = 6 and var (X) = 4.2, then P(X ≤ 6) = 0.608.

A:

Q: A cubic epline Ss defined by (2(G)% 3(x-1)+24-1) -(x-1) 5.(x) = 4 + 4(x – 2) –(+– 2)² +=(x - 2)* S…

A:

Q: Leb x is (15+25) then PC12 ExC 18)=

A: Given that X~N(15, 25) So, mean=15  Variance= 25 Standard deviation=√25=5

Q: Evaluate Sx (x – 1) (x – 2) dx |

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Q: Marco sells and ships oranges from his grove for $1.20 per pound plus a shipping fee. One package…

A: Total cost = 18.65 shipping fee = 4.25

Q: Q.12 Find f(x), if Js(n) = 16(-1)-1 n 0<x<8

A: Given: Let us consider the given data, f¯sn=16-1n-1n3,0&lt;x&lt;8 To determine: fx.

Q: dx If - = Sh(8) d®, then h(0) de = ... V(4+x2)3

A: We will make use of only the basic techniques of integral calculus to solve this question.

Q: 00 Let f (x) = a" and g(x) = nx". If f(x)g(x) = > ana", then what is an? %3| n=0 n=0 n=0

A: We multiply of f(x) and g(x) and camparing itn with given equation. See 2nd step.

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: If f(x) = g(x) J. (Ax) + g(x)]dx= + 7 for 3<xs 5, then

A: givenf(x)=g(x)+7thenI=∫35[f(x)+g(x)]dxsubstitute value of f(x)I=∫35[g(x)+7+g(x)]dxI=∫35[2g(x)+7]dx

Q: If f(x) = 2х+1 *,x = 0, 1,2, 3, 4 25 %3D P(2 < X < 4) Select one: O a. 7/25 O b. none О с. 16/25 O…

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Q: Find f"(3) * S(x) = 3*+1 107.403 322.210 97.763 38.917

A: Given, f(x)=3x+1 To be found : f"'(3)

Q: If p(z > k) = 0.2946 then k = ... ..

A: We have given a standard  Normal distribution. We need to find the value of k using standard normal…

Q: 13 [ 1.5 11.5 13 Suppose f(x)dx= 4 14.5 (8 f(x) - 7)dx = f(x)dx = 8, 11.5 ["³ f(x)dx = 7, 14.5 13…

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Q: 1/4 (x*-x Q 10. -dx is equal to 3/4 5/4 (a) 15 +C +C 4 (c) 15 S/4 1 +C (d) none of these

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Q: find the following.    k(1)     k(−0.004)

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Q: Pr (a) P(Z > 0.59) = 0 (b) P(Z s 0.86) = 0 (c) P(-0.78 <z < 1.99) = 0

A: We have to find given probability..

Q: 6. Find f(x) dx if 5 for x 5

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Q: P(ze <z < 0)=0.390

A: From the provided information, P (ze &lt; z &lt; 0) = 0.390

Q: 7 < x/3

A:

Q: Find the value z that makes the following identities true. (a) P(Z z) = .60 (c) P(−z < Z < z) =…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 2. Let X be a binomial random variable with p - 0.1 and n- Calculate the P(X > 8). (Binomial). 10.

A: (As per bartleby guidelines, for multiple questions asked, only the first question will be solved.…

Q: 9 | f(x) dx = 2. Find 8. f(x) du . 8. 3) Suppose that 6f(x) du and 8.

A: Answer

Q: ! Given f (x) = {x + 2 if x > 10 lx – 7 if x < 10' D. ! determine each of the following. a.) f(14)…

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Q: (8) A company produces X bulbs per day. If E(X)= 1000 and var (X) = 100, then P(900 < X < 1100) is…

A: Given information: EX=1000VarX=100

Q: S23% e* dx Evaluate (8e)* In8e + C (2 e)x + C In2e (2 e)X In2e + C (8e)* + C In8e

A: We have to solve the integral

Q: 1-2x (c) Determine the values of a, b and c if =1+ax+ bx? + cx. Hence, by 1+2x, 1 show that 2 s 3,…

A:

Q: If k(x) = {x + 4 1 - x if x < 0 if 0 sx < 1, find the following. if x 2 1 (a) k(-5) (b) k(0) (c)…

A: We are given a piecewise function k(x) and we need to find the value of the function for different x…

Q: 10 Find f(x) dx if f(x) = [8 for x< 8 |x for x 2 8

A:

Q: Suppose F(x) is between 4 and 8 for x in [3,12]. What is the largest that · 12 L" F (x) dx can be?

A: given that function F(x) between 4 and 8 for x in [3, 12] we have to find the largest value of…

Q: If f(x) is given by f(x) = sinh √2x2, compute for the errors for each approximation for each…

A: The given function fx=sinh2x2. The approximations, x 1 2 3 4 5 f(x) 1.3911 2.9034 5.8982…