Suppose I’m playing a video game that has 7 levels. I start at level 1, and I have probabilityp1 of beating it (and thus reaching level 2). In general, given that I reach level j, I haveprobability pj of beating level j (and thus reaching level j + 1). Let X = the highest levelthat I REACH.(a) Find the PMF of X (in terms of the p1, p2, ..., p6). (b) To give a more concrete example, suppose I’m playing Elden Souls, so theprobabilities are fairly low: p1 = 0.7, p2 = 0.5, p3 = 0.3, p4 = 0.2, p5 = 0.2, andp6 = 0.1. Find the PMF of X using these probabilities (Hint: you’ve already done thebulk of the work in Part A).(c) Draw a graph for the PMF you found in Part B. Be sure to label the axesand each value in the support of X.
Suppose I’m playing a video game that has 7 levels. I start at level 1, and I have probability
p1 of beating it (and thus reaching level 2). In general, given that I reach level j, I have
probability pj of beating level j (and thus reaching level j + 1). Let X = the highest level
that I REACH.
(a) Find the PMF of X (in terms of the p1, p2, ..., p6).
(b) To give a more concrete example, suppose I’m playing Elden Souls, so the
p6 = 0.1. Find the PMF of X using these probabilities (Hint: you’ve already done the
bulk of the work in Part A).
(c) Draw a graph for the PMF you found in Part B. Be sure to label the axes
and each value in the support of X.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
