Let X be a random variable with p.d.f f(x) = c+ 1.2x2,0
Q: (37) Let X be a random variable with p.d.f. (x+1)e2* x=1,2,3 f(x) =- , find (1) k (2) E(x² +1) O.w
A: The probability distribution table is obtained as : x 1 2 3 f(x) 2e2k 3e2k 42k Every…
Q: (17) Let X be a random variable with p.d.f. o >x>0 f(x)=< find E(e) O.w
A: Solution : Given : f(x) = 15e-15x 0<x<∞0 o.w Here X ~exp(15) M.G.F of x is…
Q: 6- Find the mean value and standard deviation of the random variable X described by the following…
A: Given See the handwritten solution
Q: (45) Let X be a random variable with p.d.f. ((k + 4)(x+2) 0<x<2 f(x)=- find (1) k (2) E(x) O.W
A: (45) (1) The random variable X with p.d.f is, fx=k+4x+2 0<x<20…
Q: (34) Let X be a random variable with p.d.f. 1<x<» k f(x) = { find k. O.w
A: Formula used: fx=x-2k 1<x<∞0 Otherwise
Q: Let X be a continuous random variable with the following PDF fx(2) = {** Į ce to z 20 otherwise…
A:
Q: 2. A random variable X has pdf |x| < 1 elsewhere. cx(1+ x) a. Find c. b. Find E{X}and V AR{X} c.…
A:
Q: Let X be a random variable with p.d.f. [(k +4)x 1<x<5 f(x) = , find (1) k (2) Var(x) O.W
A: Let X be a random variable with p.d.f. fx=k+4x 1<x<50 otherwise 1) We…
Q: 2. Let X be a random variable with E[X] = 15 and Var[X] = 10. Suppose Y = 2X – 7, Use the properties…
A: Given,E(X)=15Var(X)=10and Y=2X-7
Q: A random variable, x, has p.d.f. f (x) given by f (x) = 1 а. always equals 1 b. 0 < x< 1 C. Not…
A: We know that, If a random variable x having probability density function f(x) by the property of…
Q: Let X be a random variable with p.d.f f(x) = 2x,0 < x < 1. Find E(Vx) 2/3 5/4 3/2 O 4/5
A:
Q: (51) Let X be a random variable with p.d.f. 2e-2x 0<x<00 = (x) , find E(e") O.w
A:
Q: (40) Let X be a random variable with p.d.f. (k +4)e¯3x f(x) ={ 01) O.w
A: a)Use the condition of valid pdf to find the value of k…
Q: (13) Let X be a random variable with p.d.f. 2e-2x 0<x<0 f(x) ={ , find E(e2*) O.W
A: Solution : Given : f(x) = 2e-2x 0<x<∞0 o.w E( e-2x ) = ∫x e-2xf(x) dx…
Q: (5) Let X be a random variable with p.d.f. k 1<x<o 2 f(x) =< , find k. O.w
A: Given: fx=kx2 1<x<∞0 Otherwise
Q: 20) Let X be a random variable with p.d.f. k T<x<10 f(x) =- , find k. O.w
A: Solution: Let X be the random variable with pdf f(x) is f(x)=kx 1<x<100 otherwise
Q: 48) Let X be a random variable with p.d.f. 1 -8x 0<x<00 k f(x)= , find k. O.w
A:
Q: Let X be a random variable with p.d.f. {(k + 1)e¬8: f(x) = 0<x<0 , find (1) k (2) P(x< 1) O.w
A: Solution: 39. From the given information, the probability density function of X is
Q: Suppose X is a continuous random variable with p.d.f. fX(x) = kx2(1 − x) if 0 < x < 1. (b) Find the…
A:
Q: E e-2*)
A: Let X be the random variable with p.d.f f(x)=2l-2x ; 0<x<∞0 ; otherwiseNow…
Q: Suppose X has probability generating function GX(t) = 0.2 + 0.3t + 0.1t2 + 0.4t3. What is P(X = 2)?…
A: PGF of a Random Variable is given by, Gx(t) = Σ tx P(X=x)
Q: Suppose that the waiting time X (in seconds) for the pedestrian signal at a particular street…
A: The random variable represents the waiting time for the pedestrian signal. The PDF of random…
Q: (41) Let X be a random variable with p.d.f. [(k+4) 0<x<5 ,find (1) k (2) E(x +1) (x) O.w
A: Given information: X is random variable with probability density function. f(x)=k+4; 0<x<50…
Q: Let X be a random variable with p.d.f. 2e-2x f(x)=< 0<x<0 , find E(e2") O.w
A: Let X be a random variable with the pdf fx=2e-2x 0<x<∞0…
Q: Let X be a random variable with p.d.f. ((k +4)(x+2) f (x) ={ 0<x<2 , find (1) k (2) E(x) O.W
A: (a) We know, ∫fx dx=1∫02k+4x+2 dx=1∫02kx+2k+4x+8 dx=1kx22+2kx+2x2+8x02=12k+4k+8+16=16k=-23k=-236
Q: Let X be a random variable having p.d.f. fx(x) = cx², -2 < x < 2. For the following parts, your…
A: Given density function: fx=cx2, -2<x<2 c value: ∫-22fxdx=1 from the total probability…
Q: (52) Let X be a random variable with p.d.f. 1 0<x<0 f(x) = ,find E(e") O.w -in
A:
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- (24) Let X be a random variable with p.d.f. 2e-2. * 0(40) Let X be a random variable with p.d.f. (k +4)e-3x 01) O.w(7) Let X be a random variable with p.d.f. kx-2 f(x) = { 1(4) Let X be a random variable with p.d.f. 2e-2* f(x) = 0(34) Let X be a random variable with p.d.f. 2k xe x= 1,2,3 f(x) = { , find (1) k (2) E(x?) O.wShow it early(22) Let X be a random variable with p.d.f. 3k e 0Let Y be a discrete random variable with generating function 4 Gy (s) 6 – s s2 What is Var(Y) (in decimal)? Answer:Suppose that Y is an exponential random variable with λ = 4. Find. P[Y > (E(Y) + 2√√Var(Y))] . (round to 4 decimal points)(24) Let X be a random variable with p.d.f. Ze-2 0(50) Let X be a random variable with p.d.f. k 1(54) Let X be a random variable with p.d.f. [(k+4) f(x) = { 1SEE MORE QUESTIONSRecommended textbooks for youAdvanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, IncorporatedNumerical Methods for EngineersAdvanced MathISBN:9780073397924Author:Steven C. Chapra Dr., Raymond P. CanalePublisher:McGraw-Hill EducationIntroductory Mathematics for Engineering Applicat…Advanced MathISBN:9781118141809Author:Nathan KlingbeilPublisher:WILEYMathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,Advanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, IncorporatedNumerical Methods for EngineersAdvanced MathISBN:9780073397924Author:Steven C. Chapra Dr., Raymond P. CanalePublisher:McGraw-Hill EducationIntroductory Mathematics for Engineering Applicat…Advanced MathISBN:9781118141809Author:Nathan KlingbeilPublisher:WILEYMathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,