FM.P.1

Use Markov chains to solve problems with and without technology.

Example Problems
Riley waits at a bus stop and counts how many buses arrive in a short window. Here is the partially completed probability distribution of B.

B
00.18
10.46
20.27
3?


Find the
missing probability in the table.
Caleb records the number of defective batteries in a box he inspects each day. Here is the partially completed probability distribution of .

01234
0.520.290.120.05?


Find the missing probability in the table.
Cora is playing a game that involves flipping three coins at once.
Let the
random variable be the number of coins that land showing heads. Here is the probability distribution for :

= # of heads0123
0.1250.3750.3750.125


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