One problem is that V1 is not clearly defined , yet the expression is very much familiar , that is why answer is given ,but next time please define clearly all the expressions and terms.
Since only part E is required , then assuming that parts above are already well known , therefore the conditional density is known of Y1 given U, therefore finally finding out the Expectation as follows::
part e pls 2. Suppose that the time interval between neuron firings in a certain experiment...
Suppose a geyser has a mean time between eruptions of
64 minutes.
Let the interval of time between the eruptions be normally
distributed with standard deviation
12 minutes.
Complete parts (a) through (e) below make sure you awnser A
part B part C part D part E awnsers all parts correctly
9:47 PM Suppose a geyser has a mean time between eruptions of 64 minutes. Let the interval of time between the eruptions be normally distributed 12 minutes. Complete parts...
Suppose at a certain time to the wave function is, Ψ(x,6) N for all x between the values ofx = 1 cm and x = 2 cm. For all values ofx outside the interval [12] the wave function is zero. a) Normalize the wave function. (Solve for N). Pay attention to units! b) Sketch the probability density V(x,/,)(x, as a function of x c) What is the probability of finding the electron between 1.5 cm and 2.0 cm? d) What...
2. In a toxicology experiment, Y denotes the death time in minutes) for a single rat treated with a certain toxin. The probability density function (pdf) for Y is given by fy (v) = Tey, y> 0, 0, otherwise. (a) Derive the cumulative distribution function (cdf) of Y. (b) Find the probability that this rat survive more than 2 minutes. (c) Find the expected death time for this rat. (d) Find the variance of Y. (e) Find the mgf of...
6th
pls answer it fast
robability Theory and Mathematical statistics Final examination Variant 4 Part 1. Random Events he probability that a computer crashes during a severe thunderstorm is 0.005. A certain npany had 550 working computers when the area was hit by a severe thunderstorm. Compute ne probability that exactly 2 computers crashed. 2. It is known about random events A and B that PCB) = 5P (AB). PCA) = 0.7and P(A + B) = 0.6. Find P(B). 3....
Suppose that the probability that a certain experiment will be successful is 0.4, and let X denote the number of successes that are obtained in 15 independent trials of the experiment. A. What is the probability that there will be between 6 and 9 successes? B. What is the expected number of successes? C. What is the variance? D. Suppose the scientists decide to re-run the experiment 250 times. What is the probability that the number of success will be...
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Suppose that X is a uniform random variable on the interval (0, 1) and let Y = 1/X. a. Give the smallest interval in which Y is guaranteed to be. Enter -Inf or Inf for – or o. Interval:( b. Compute the probability density function of Y on this interval. fy(y) = Suppose that X ~ Bin(4, 1/3). Find the probability mass function of Y = (X – 2)2. a. List all possible values that...
2- 5. The Weibull distribution has many applications in reliability engineering, survival analysis, and general insurance. Let B>0, 8>0. Consider the probability density function x>0 zero otherwise Recall (Homework #1) V-Χδ has an Exponential(8-T )-Gamma(u-l,e-1 ) distribution. Let X1, . , X/ be a random sample from the above probability distribution. y-ΣΧ.Σν i has a Gamma(u-n, θ- 1 ) distribution. !!! i-l 2. suppose δ is known. Let Xi, X2, , Xn be a random sample from the distribution with...
4. Let 8 >0. Let X, X2,..., X, be a random sample from the distribution with probability density function S(*;ð) - ma t?e-vor x>0, zero otherwise. Recall: W=vX has Gamma( a -6, 0-ta) distribution. Y=ZVX; = Z W; has a Gamma ( a =6n, = ta) distribution. i=1 E(Xk) - I( 2k+6) 120 ok k>-3. 42 S. A method of moments estimator of 8 is 42.n 8 = h) Suggest a confidence interval for 8 with (1 - 0) 100%...
2-3. Let ?>0 and ?? R. Let X1,X2, distribution with probability density function , Xn be a random sample from the zero otherwise suppose ? is known. ( Homework #8 ): W-X-5 has an Exponential ( 2. Recall --)-Gamma ( -1,0--) distribution. a) Find a sufficient statistic Y-u(X1, X2, , Xn) for ? b) Suggest a confidence interval for ? with (1-?) 100% confidence level. "Flint": Use ?(X,-8) ? w, c) Suppose n-4, ?-2, and X1-215, X2-2.55, X3-210, X4-2.20. i-1...
Suppose a geyser has a mean time between eruptions of 62 minutes. Let the interval of time between the eruptions be normally distributed with standard deviation 24 minutes. Complete parts (a) through (e) below. (a) What is the probability that a randomly selected time interval between eruptions is longer than 72 minutes? The probability that a randomly selected time interval is longer than 72 minutes is approximately 0.3372. (Round to four decimal places as needed.) (b) What is the probability...