Given the probability density function f(x) 1 over the interval [3, 9], find the expected value, the mean, %3D the variance and the standard deviation. Expected value: Mean: Variance: Standard Deviation:

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

Q: Consider the following sample space S with events A, B and C: s = {1,2, 3, 4, 5, 6, 7,8} A = {1,2,3,…

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Q: 7. An insurance company believes that claim amounts in a certain portfolio of policies follow a…

A: Given: Sample size (n) = 61 Sample mean x¯=5230.0000 Sample standard deviation (s) = 810 Confidence…

Q: Question 1 The following is a set of 109 DMT 242 examination marks ordered for convenience: 6 11 11…

A: Since you have posted a question with multiple subparts we will solve first three subparts for you.…

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A: The Taylor series can be obtain as follows.

Q: Find the measure of ZJ. Round to the nearest whole number. 61 11 K- 60 7. O 10 O 45° O 80

A: Using trigonometric functions:

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Q: (b) Consider the problem Maximize Z= +2x, 3x +4x3 Subject to 2r +3.x +5x) 2 2 3x + +x: 7x 5 3 + 4x…

A: Given LPP is Maximize Z=2x1+3x2+4x3Subject to2x1+3x2+5x3≥23x1+x2+7x3≤3x1+4x2+6x3≤5x1,x2≥0, x3…

Q: 6. A theater has rows of seats that can seat a total of 144 people. The number of rows is 7 less…

A: Solution: Let the number of seats in each row = x so, number of rows = x-7 Total seats = 144

Q: swer. 1. What is the Greatest Common Factor of 24 and 54? С. 3 A. 1 D. 6 B. 2 2. What is the GCF of…

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Q: Find a basis for the subspace W p(x) E P2 p(5) = -p(-5)} of P2. A basis for W is { x2 -Ex: 1 , x

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Q: high school is organizing a dinner event for alumni. The planning committee has decided to rent a…

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Q: Find m/ECD. 31° В

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Q: (8x D. - 34)° (5x + 2) O 40 O 10 O 12 O 60

A: From figure, we have 8x-34=5x+2 Or, 8x-5x=2+34 Or, 3x=36 Or, x=36/3=12 Hence x=12

Q: Show that triangle FUN is isosceles. 8. U (1,7) (6,2) (-1,0) 2, 21 4 9. -21

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Q: Question Two Small business owners often look to payroll service companies to handle their emplo yee…

A: We have given that,  The data set is,  820 270 450 1010 890 700 1350 350 300 1200 390 730 2040 230…