0.1 for k=0 0.4 for k=1 Px(k) = (0.3 for k=2 0.2 for k=3 lo otherwisel a. Find EX. b. Find Var(X) c. If Y= (X-2)?, find EY

Q: 3. Find L{2t²e* cosh t}. 2 ans: g" (s+2)'

A:

Q: Find y(0) and y(inf) for the following  Y(s) = (s+1)/(s+2)

A: First, we need to find the inverse Laplace transformation.

Q: 6. x =:0 <y< l egrisinin y-ekseni etrafında döndürülmesiyle meydana gelen dönel yüzeyin alanını…

A: Given:       x=y33;  0≤y≤1

Q: A potato at room temperature of 20°C is placed in an oven his temperature is 200°C. An hour later…

A: Given information: A potato at room temperature of 20°C is placed in an oven his temperature is…

Q: Question number 7 please

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Q: 1 z/2 Find ' (x) if k(x) = e Provide your answer below: K(x)=

A:

Q: 1. The number of bacteria in thousands in a refrigerated food is given by N(t) = 20t – 20t + 120 for…

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Q: dx 1. Evaluate e x(In x)3

A: We’ll answer the first question that is question (1) since the exact one wasn’t specified. Please…

Q: 2. Find S'and S" for the function: S = + 2t2. Cos(t)

A:

Q: In x a) Find an approximate value for x (to 2 decimal places) if 5 = 3 In x – m*. b) Find y" if y =…

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Q: Find the value of k that makes the antidifferentiation formula true. (1– 10x) 1 dx=k In 1= 10x + C…

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Q: 14. Find X(s), given x" + 16x = t, x(0) = 0, x'(0) = 0.

A: answer is in next step

Q: 41. Find a formula for the function S(x, y, z) of three variables that gives the average of three…

A: We have to find the formula for function S(x, y, z).

Q: Solve the following O.D.E: (x2 + y?) ý = xy with the initial condition y(1) = 2, on the interval I =…

A:

Q: H.W SKet ch the following 1- y x2-2x-3 2- y = X3-3X +1 2X 5-y% = X-3 7- 9= x"5 X-1 9-9= %3D X2-4…

A:

Q: 3: Let X₁. X, Exponential (8) (1) Find UMP test of size a for testing H₁ : 0 = 1 against H₁ : 0 > 1.…

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Q: / (3cosh m 2 cosh m sinh mdm +e°

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Q: The population of two different species are given by P1 P1 = In(t + 3) + 7* [: , where t is measured…

A: Given data - The population of two different species p1 and p2 are- P1 = ln(t+3)+7 P2 = ln(t+9)+1 We…

Q: If the pdf is K/1+x^2  0 < x < 2, Find K

A: To find K , from the probability density function: Given: Probability density function:

Q: A series RL circuit has a voltage E= 50V applied at t=0 by closing of a switch. If R=20 ohms and L=2…

A: Kirchhoff's voltage law: It says that the direct sum of the voltages around the circuit must be…

Q: 5. Let X1,..., X„ ~ iid N(0, T). (a) Find the MSE for the usual unbiased estimator of T: ↑ = 4E X?.…

A:

Q: Find y(t) for the following: 8 1 + s – 3 -2s Y (s) = *e

A: Given, Ys=8s+1s-3*e-2s

Q: =(x1= Find. === 2 × K value X Co oxx cl 1 ≤ x k of

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Q: 2/ A/Find the G.S. for following D.E y = 1 -y"

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Q: 10- f(x) dx using Compute the following estimate of 8- y=f(x) the graph in the figure. 6- S(4) 4- 2-…

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Q: 3. X-メ Find d x at x=\

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Q: Suppose that T is to be found from the formula T = y( ex + e -x), where x and y are found to be In 5…

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Q: Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days.…

A: Population growth model says rate of change in population at any time is the proportional to…

Q: 17) Draw the graph of a function K(m), such that S К (т) dm о

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Q: 5n2 +3 For which e value(s) will a, = be within e of its limit at n = 5? n2 + 2n De=1.3428 E = 0.01…

A: First of all find the limit of an…

Q: Calculate E(X³), where X has the following PMF: .5 x=1 f(x)=.3 x=2 2 x=3

A: Given that  PMF of X is  x 1 2 3 f( x ) 0.5 0.3 0.2

Q: = 40 dB and By= 20 KHz is found to have N 10° K TO An amplifier with ga when T To Find T and noise…

A: Answer: For the given data,

Q: d) Applying four iterations of the Interval Halving Method to f(t) = p(t)-50, taking the initial…

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Q: 1.5 Approximate f x*dx using Simpson's rule Select one: a. -1.3190104 b. 10.3190104 c. 1.3190104 d.…

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Q: P1 = In(t + 3) + 6] P2 = In(t + 9) + 4] where t is The population of two different species are given…

A:

Q: a x In the experiment of tussing a fair coin is the randam variable giving 3 times the number of…

A: Given three fair coins are tossed. So PX = 0 = 18P(X = 1) = 38P(X = 2) = 38P(X = 3) = 18

Q: The population of two different species are given by P1 P1 = 4e0.6t - and P2. where t is measured in…

A: The population of two different species are given by, P1=4e0.6tP2=9e0.4t

Q: Suppose P(t) represents the population of a certain mosquito colony, where tt is measured in days.…

A:

Q: 11) Internet rentals affect "k" Video in such a way that the demand for rentals of its DVDS changes…

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Q: e consistency of frame heights produced by the plant. = 5000 and n2 = 2000 yielded x = 64. 9 inches.…

A: When the population standard deviations is unknown, the z test statistic is used.  The formula to…

Q: cosh(1+ Inx)= Select one: e Inx None e?x² - 1 2xe x² +1 O 1+ 2x e?x² +1 2xe Zero

A: We will use definition of Hyperbolic function and properties of Logarithm

Q: 1. With At = 2, you will need to take time steps to arrive at t = 4, and doing so you get S(4) = L,…

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Q: Differentiate the function

A: Recall the following facts on differentiation.

Q: If X x2(m, mµ²) find the corresponding (a) mgf; and (b) characteristic function.

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Q: b) Find L[e* S (-os22) dt] and -1 4s+5 * ls-1) (s+2).

A: Laplace transferom and inverse Laplace transferom, using all the properties.

Q: 0. For what values of a and b is ax + 2b, 8(x) x² + 3a – b, 0 2 tinuou s at eiery r'

A: Follow next step

Q: 2.) Find the critical values for g(x) = x?e-2a %3D

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Q: Evaluate L{e (cosht – sinh nt)} 3r S+3 A. (s+3)*-n² (s+3)-a² S-3 B. (s -3)- (s-3) 2. s+3 C. (s+3) +*…

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Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!