Conditional probability Two courses ECE 2813 and ECE 980 eac
     [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![[Conditional probability] Two courses, ECE 2813 and ECE 980, each have sophomores, juniors, and seniors enrolled, as shown in the following table.Random variab  [Conditional probability] Two courses, ECE 2813 and ECE 980, each have sophomores, juniors, and seniors enrolled, as shown in the following table.Random variab](/WebImages/9/conditional-probability-two-courses-ece-2813-and-ece-980-eac-1000383-1761515248-0.webp) 
  
  Solution
![[Conditional probability] Two courses, ECE 2813 and ECE 980, each have sophomores, juniors, and seniors enrolled, as shown in the following table.Random variab  [Conditional probability] Two courses, ECE 2813 and ECE 980, each have sophomores, juniors, and seniors enrolled, as shown in the following table.Random variab](/WebImages/9/conditional-probability-two-courses-ece-2813-and-ece-980-eac-1000383-1761515248-0.webp)
