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.
Find the missing probability in the table.
| B | |
|---|---|
| 0 | 0.18 |
| 1 | 0.46 |
| 2 | 0.27 |
| 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 .
Find the missing probability in the table.
| 0 | 1 | 2 | 3 | 4 | |
|---|---|---|---|---|---|
| 0.52 | 0.29 | 0.12 | 0.05 | ? |
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 :
Let the random variable be the number of coins that land showing heads. Here is the probability distribution for :
| = # of heads | 0 | 1 | 2 | 3 |
|---|---|---|---|---|
| 0.125 | 0.375 | 0.375 | 0.125 |

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