[Conditional probability] Two courses, ECE 2813 and ECE 980, each have sophomore

Question

[Conditional probability] Two courses, ECE 2813 and ECE 980, each have sophomores, juniors, and seniors enrolled, as shown in the following table.Random variable X = xi is used to model the class outcome of an experiment with xi = 17 X = x2, and X = x3 indicating outcomes sophomore, junior, and senior, respectively. A probability experiment, consists of selecting a course, then selecting a student from the chosen course. The participants in the study are more curious about KCK 980 and select that course 80% of the time. Let B1 the event "choose E-CE '280'" and B2 the event "choose ECE 980" , so that P{B1) = 0.2 and P{B2) = 0.8. Determine the following quantities for the experiment: P(xi|Bi) and P{x,|B2) for t = 1.2.3. Fx{x|B2) for x R. fx(x|B2) for x R. P{X=Xi) fori = 1,2,3. [Poisson distribution! The number of data packets arriving in 1 sec at a particular switch (in millions) is modeled by random vjiriable X which is Poisson distributed with parameter lambda = 2. Find the probability that X = 3 million packets arrive in a given second. Find the probability tliat X = 0 packets arrive

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[Conditional probability] Two courses, ECE 2813 and ECE 980, each have sophomore

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