1) Let X be a random variable that assume the values {0,1,2,3} with probability pi=1/14i^2. Determine...
Let
x be a continuos random variable with f(x)=3/125x^2 for
0<\x<\5 and 0 in the complement.
Sea X una variable aleatoria continua con f() 3 - 1 para 0 <1 <5y 0 en el complemento. 125 Determina redondeado a la milésima:
7. Let Xbe a discrete random variable with probability mass function: f(x) c , x 0,1,2,3, 4 (a) Find the constant c. (b) Find the moment generating function of X. (c) Find EX based on the result of part (b)
what are the correct values for
0,1,2,3?
Find the probability distribution for the given random variable. (Round all probabilities to four decimal places.) From a bin that contains 27 defective joysticks and 31 good ones, 3 are chosen at random; X = the number of defective joysticks chosen. х 0 1 2 3 P(X = x) 0.0149 x 0.5552 x 0.6406 x 0.2293 x Draw a histogram. P(X)=x P(X)=x P(X)=x 0.4 0.4 0.4 0.3! 0.3 0.3 0.2. 0.2 0.2 0.1...
Nombre . Responde las siguientes preguntas A) SI P(A 6 B)-1/3 P(B)- 1/4 y P(Ay B)-1/5, halle P(A) B ) Cual es la probabilidad de lanzar un par de dados y que la suma de los resultados de los dos dados sea 7 C ) Una prueba de selección múltiple tiene cinco posibles respuestas de las cuales una es correcta, si 13 estudiantes eligen las respuestas al azar. Cuaál es la probabilidad de que los 13 escojan la respuesta correcta?...
6. Let ?1, ?2, ..., ?? be a random sample from a Normal
population (?, ?2).
Hint: For exponential families we have that E [∂ ln f (x | θ)]
2 = −E [∂2 ln f (x | θ)] θ ∂θ θ ∂θ2
c) Does s2 reach the C-R level? Justify
n-1 6. Sea X1, X2, ..., Xn una muestra aleatoria de una población Normal(u, o?). a) Demostrar que s? ET-;(x1-1) Fes un estimador insesgado de oz. b) Encontrar la...
3. Let X be the random variable characterized by a probability distribu tion p (P, ...p) and it can assume one of the values r1,....In with probabilities pi, , pni 0 < pi 1, Σǐpí = 1 The Shannon entropy of the random variable X is defined as Show that 0 s H(X) S log2 so that the maximal value in this inequality is saturated by unifornm probability distribution. What is the level of information for this state of the...
Solve the following system of DEs
with initial conditions x (0) = 2, and (0) = 4, x
0
(0) = 0, and
Y
0
(0) = 0 In this problem x = x (t) and y = y (t). Indicate
in order the values of A, B, C, and D (B <D) so that
x (t) = Ae^(Bt) + C e^(Dt)
be the solution x (t).
Answer:8. Resuelva el siguiente sistema de EDs con condiciones iniciales x(0) 2, y(0...
Let descrete random variable X ~ Poisson(7). Find: 1) Probability P(X = 8) 2) Probability P(X = 3) 3) Probability P(X<4) 4) Probability P(X> 7) 5) ux 6) 0x Show your explanations. Displaying only the final answer is not enough to get credit. Note: round calculated numerical values to the fourth decimal place where applicable.
Let X be a continuous random variable with the probability density ?(?) = 3?2 for values of x in [0,1], and ?(?) = 0 elsewhere. Compute the expected value and variance of X.
Let x be a continuous random variable with a uniform distribution. x can take on values between x=20 and x=54. Compute the probability, P(26<x<39). P(26<x<39)= ? (Give at least 3 decimal places) Let x be a continuous random variable with a uniform distribution. x can take on values between x=13 and x=52. Compute the probability, P(27<x<36). P(27<x<36)= ? (Give at least 3 decimal places)