of 5 5 6 7 9. P(X = x) 0.2 0.2 0.2 0.1 0.3 8.

Q: 1. d%= 1 4. P(x) 0.06 0.23 d. 0.35 0.05 2.

A: Note: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: А C X 0. 3 1 8 27 3 9 3 y 1 1 1 3 2 8 2 3. 27 9

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Q: السؤال 10 L(2– 3t) 2= 4. 6 6 S s2 4 12 18 .b O S s2 4 12 9 s² 3 C O4 4 6. s? 3d O 3. + 2.

A: We need to find the Laplace transform of 2-3t2 Now, we have an identity a-b2=a2+b2-2ab Using this we…

Q: (g) P(-1.70 sz≤ 2.00) 3 2 (h) P(1.46 ≤ Z ≤ 2.50) (1) P(1.70 s2) (1) P(IZI ≤ 2.50)

A: We will use Excel function to find the required probabilities based on Standard Normal distribution.

Q: 10-41. In 1981l for working class people wheat was selling at an average price of Rs. 16 per per 10…

A:

Q: (f) P(-1.85 s Z) 0.5359 (g) P(-1.70 s Z S 2.00) 1.0218 (h) P(1.67 s Z < 2.50)

A: We want to calculate the following probability from standard normal table Note: According to…

Q: [x+5=01 10. 9. x+y=2 10 10 -10+ 2015 FlamingoMath.com a

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Q: 17) S(Tw + 9)" dw 18) ſ n v5n² – 8 dn

A:

Q: 216 X(s) = s4+5s3+15s2+45s+54 2s-9 Y(s): s(s2+10s+146)

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Q: t 4

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Q: Y 3.0 0,00 FU.25 0.50 0.25 1.75 0.75 2.5 1.00 B. 25 2.0 2.75 1.5 3.25 L00 1.0 3.50 0.5 3.75 0.0 2.25…

A: We use central difference to approximate the derivative at point E in direction of E.

Q: 1 3 P(X=x) 0.15| 0.20 0.15 0.50

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Q: P(X) 0. 0.2 1 0.2 0.1 0.5 23

A: We know that, when we have a probability distribution, then to find the standard deviation, we have…

Q: A researcher wants to determine if the exam scores of the students are dependent on the length of…

A: Introduction: The response variable is the examination scores, y, and the explanatory variable is…

Q: 2 -1 -5 0 2 2 1 0 -2 3 D = 5 1 0 2 -2 0 -4 2 -7 0 -1 2 2 4 -6 -5 -9 -5 0 1 2 6 3. 1. 3.

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Q: 1.1 3.1 2.4 39. 1.7 2.4 2.3 L0.6 -0.7 -0.1! ANSWER I

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Q: X P(x) 2 2/15 4 1/3 6 1/3 8 1/5

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Q: P(0< z < ze)=0.4573

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Q: 1 3s – 14 s2 – 4s + 8 (s + 1)(s² + 1)

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: 1 2 01 0 0 33 1 0 0 0 5 -3 d. 0 1 0 0 0 1 2 3 4 5 1 0 7 1 3 0 0 0 0 1 LO 0 0 0 0 2. a. f. 10 10 01…

A: To Determine: which of the given matrices are in Row-Echelon or Row-reduced Echelon forms.

Q: P(z -1.16) = P(z 2.61) = P(0 < z < 2.32)

A: We will use Standard Normal table to find the required probabilities.

Q: P(z<0.47​)

A: Solution: Let z be the standard normal variable with mean μ=0 and standard deviation σ=1 z~N(μ=0,…

Q: -0.5] H-B-E 0.5 0.5 0.5 0.5 0.5 -0.5 -0.5 0.5 -0.5 0.5 -0.5

A: Follow the steps.

Q: 1 3 P(X = x) 0.4 0.1 0.3 0.2

A: Given that  Probability distribution  X 0 1 2 3 P(X=x) 0.4 0.1 0.3 0.2

Q: 1 Find L-! 2(s – 1)

A:

Q: 37. y= (x² + 2x – 1)³(5x) | || 39. y = (8x – 1)°(2x + 1)4 || 12 x - 3 Th 41. y = n gedw X +2 r+ 1

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Q: 0.4 A 0.6 0.2 0.2 E 0.5 B. 0.8 F 0.3 0.6 E C 0.4

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Q: L = {e-*t} L = {3e¯4*} %3| 3 s+4 (s+3) 1 3 s+4 (s+3)³ 3 1 s+9 (s+3)? 4 s+4 1 (s–3)'

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Q: ¹ Find the value of L-1 s²+6 [(s²+1)(s+4)]

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Q: P(0°C<x<2.27°C)=P(0<z<2.27)=

A: Solution: Standard normal distribution: The standard normal distribution is a special case of normal…

Q: X 0 1 2 P(X s x) 0.10 0.35 0.47 0.65 0.82 0.89 3 4 5 6 1 a. Calculate P(X > 1). c. Calculate P(3 < X…

A:

Q: P(x) = (x - 4)(x + 3)(4x - 3) y y 150 150 100 100 50 50 X -10 -5 5 10 - 10 -5 10 -50 -50 - 100 -100…

A:

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

A: It is known that, Z score= (y-mean)/standard deviation. Given that, Mean= 2 and variance= 25  So…

Q: P(A) = 0.6 P(B) = 0.5 P(A|B) = 0.42 P(A) = 0.3 P(B) = 0.5 P(A|B) = 0.3 P(A) = 0.45 P(B) = 0.75 P(A…

A: Determine if events A and B are independent for given problems

Q: 0.7 0.8 0.9 1.1 h(q) 652 614 579 545 513 Estimate h' (0.9) using the table above. h'(0.9) 2 Preview

A: Find the slope at x = 0.9 and x =1.

Q: 1 L-1 (s-1)(s-3)(s-4).

A:

Q: Number of Girls x P(x) 0.003 1 0.011 0.118 3 0.203 4 0.330 0.203 6 0.118 7 0.011 8 0.003

A: Defined:

Q: 0 1 2 3 4 5 P(X < x) 0.89 1 0.10 0.35 0.45 0.68 0.84 a. Calculate P(X< 4). c. Calculate P(3 < X <…

A:

Q: 1 P(X=x) 0.45 0.35 0.28 -0.12 3. 2.

A: we want to determine  the given probability distribution  x 0 1 2 3 p(X=x) 0.45 0.35 0.28 -0.12…

Q: 0.2x + 0.3y 2 7.5 2.9x - 6.2y s 0

A: Given inequalities are,

Q: 2. How much of the data can we estimate to be between x-values -2 and 102? There is approximately %…

A:

Q: n. >()=x+5 t: 0/2 t 1 of 2 op)(x) = X S 8 E

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Q: 0.6T 0.4+ 0.2- 0.0- -0.2+ -0.4+ -0.6+ -0.8+ -1.0- + + 3 + 4 + 1 8. 9. +5 2. Residuals

A: Solution: From the given plot, it can be observed that there is no particular pattern in the data.…

Q: -3 0 5] 1-3 0 5 18) 00 0 1 1 00 0 0 0 A) 5 B) 4 C) 3 D) 2

A: Consider the matrix

Q: 2 -2 0 1 1 0 1 10 3 A = 1 1 0 3 1 -1 3 0 1 1 1 1 1 1

A: Matrix: - Math gives a straightforward technique for arranging a large number of numbers: matrices.…

Q: 2 3 4 (a) 0 (b) 0 0 1 1 3 0 1 0 0 0 0 (c) 0 0 1 (d) 0 0 1 1 1 1 4 6 (e) 0 1 2 (f) 0 0 1 3 1 3

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Q: 5. Find H(s) = 19 s+2 1 3s-5 + 7 $5

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Q: 10 f(x) =-0.3(x- 4.5)2 + 17{2.9 > x > 0.028} 11 f(x) = -0.3(x= 4.5)² + 16{4 >x > 0.414} 12 f(x) =…

A:

Q: 0.8 0.2 0.6 0.4 0.7 0.3 W : %3D .. ... ...

A:

Q: P(−2.8°C<x<−1.49°C)=P(−2.8<z<−1.49)=

A: For standard normal distribution, Mean=0 and Standard deviation=1 Draw the normal curve that…