2. The ping time, how long it takes for a text message to be delivered (ms), of a newcellular transmission system is the exponential (A=1/3) random variable T. The ping timeof an old system is an exponential random variable with expected value E[7] > 6 ms. Thenull hypothesis of a binary hypothesis test is Ho: the transmission system is the newsystem. The alternative hypothesis is H,: the transmission system is the old system. Theprobability of a new system is P[H] = 0.8. The probability of an old system is P[H] = 0.2.A binary hypothesis test measures the result of a ping test. The decision is Ho if T≤ toms. Otherwise the decision is H₁.a. Calculate the maximum likelihood decision time to and the corresponding PFA andPMISSb. Calculate the maximum a posteriori (MAP) decision time to and correspondingPFA and PMISS

To solve this problem, we need to find the threshold ping time 𝑡0t0 for both the maximum…

Answered: 2. The ping time, how long it takes for…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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4. The time (in hours) required to repair a machine is an exponentially distributed random variable with parameter 0= 4. What is the conditional probability that a repair takes at least 3 hours, given that its duration exceeds 1 hours?
The produced power transducer has a rate of success to pass the quality check of 0.94. If a random sample of 12 transducers are drawn from the package, , determine the probabilities that 1. 2 of the samples are out of tolerance 2. More than 10 of the samples can pass the test 3. Less than 2 of the samples are out of tolerance. 4. No one of the samples can pass the quality check.
CHALLENGE ACTIVITY 12.6.1: Expectation of a random variable. 464826.3214874.qx3zqy? Jump to level 1 A fair coin is flipped twice. If both flips come up heads, you win $7. If at least one flip comes up tails, you lose $2. Let X be the random variable that corresponds to your winnings in dollars. Ex: X = 2 if you win $2 and X = -2 if you lose $2. What is the expected value of X? E[X]=Ex: 1.23 1 CS Scanne with CamScanner 3 D-D-D-D-
A binomial experiment for the random variable X was performed with 10 trials. The probability of success was found to 0.44. Determine the following probabilities: [Round to four decimal places.] a.) P(X = 4)= b.) P(X 6) =
Calculate the mean and variance of a negative binomial random variable with parameters p=1/3 and i=25.
A system consists of four parts that work independently of each other. Working probabilities of these parts are given as 0.9 , 0.8 , 0.7 and 0.6, respectively. If the random variable X is defined as the total number of parts working in this system, calculate the probabilities P {X>0}, P {X=2} , the expected value and the variance.
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Ivan Pedroso is a long jump athlete who wishes to qualify for the upcoming Summer Olympics. The olympic qualifying standard is 8.22 m in men's long jump, so a jump is considered as successful if it is equal to 8.22 m or more. Suppose that at each jump, Pedroso has a 0.05 chance of jumping successfully. Assume that all jumps are independent. For j= 1,2,3,...Let X; be the random variable that equals 1 if Pedroso jumps successfully at jth jump, and equals 0 otherwise. Let Y be the trial number where Pedroso jumps successfully for the first time, and let Z be the total number of successful jumps out of the first 250 trials. Which of the following is true? Select one or more: O a. P(Y = 5) = ()(0.05) (0.95)20 O b. E(Z) = 250E(X1) O c. Z has a geometric distribution O d. E(Y) = 20 O e. E(Z) = 20 O f. Y has a binomial distribution Og. X, has a geometric distribution O h. (X_3 \) has a Bernoulli distribution Oi. (E(X_5)=0.25 \)
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