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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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-
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Suppose we are developing a new drug that is supposed to improve the recovery time of an illness. We want to investigate if this is true. We conduct an experiment: we randomize twenty participants into two groups of size n = 10 each. In one group, we give the participants the drug. In the other group, we give them a placebo. We measure the recovery time of the participants in days. We observe the following data: • In the group given the drug, we observe recovery times (yı,..., Y10) = (15, 10, 13, 7,9, 8, 21,9, 14, 8), with ĝ1 = 11.4. • In the group given the placebo, we observe recovery times (yı1,..., Y20) = (15, 14, 12, 8, 14, 7, 16, 10, 15, 12) with j2 = 12.3. Assume that the data in each group follow Normal(µ1,0²) and Normal(42, o²) distributions respec- tively for the drug and placebo groups, o2 15. We want to test the following hypothesis: Ho : µ1 – 12 = 0 versus HA: µ1 – 42 < 0, using the test statistic T(Y) = Y1 – Ý2. a) Define the rejection region as {y : ĝı – 2 < c1} where ci…
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