Question 1: Based on the following figure, what are the probability z, and the event represented by the circled node, respectively? A1 ´A2 Bị Bì B2 C1 C2 Č1 C2 C1 C2 C1 C2 (а) Р(В-|C), аnd Cin Bz (c)...

Extracted text: Question 1: Based on the following figure, what are the probability z, and the event represented by the circled node, respectively? A1 ´A2 Bị Bì B2 C1 C2 Č1 C2 C1 C2 C1 C2 (а) Р(В-|C), аnd Cin Bz (c) P(C¡|B2), and C, N B2 N A1 (b) Р(С||В2), апd C, (d) Р(С1|В, N A), and Ci n Bz N А1 Question 2: An experiment consists of taking the average of 100 rolls of a fair dice. Define X; as the outcome of the ith roll of the dice. Define X as the average of the 100 rolls. Which of the following statements is true? (a) X; is uniformly distributed and X is normally distributed (b) Both X; and X are normally distributed (c) X; is normally distributed but we cannot say anything about the distribution of X (d) X is uniformly distributed but we cannot say anything about the distribution of X¡ Question 3: Which of the following represents a valid probability table? (i) probability 1/5 1/5 1/5 1/5 1/5 outcomes 1 3 4 (ii) probability | 1/2 1/5 1/10 1/10 1/10 outcomes 1 3 4 (a) Table (i) (c) Both (i) and (ii) (b) Table (ii) (d) There is not enough information Question 4: During a laboratory experiment, the average number of particles passing through an opening in 1 second are counted as 5. You are interested to find the probability that the number of particles entering the opening in 10 seconds are 60. What type of probability distribution should you select and is this a discrete or continuous probability distribution? (a) Poisson, Discrete (c) Exponential, Discrete (b) Poisson, Continuous (d) Exponential, Continuous