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Mathematics 340 - Fall 2015
Homework
Suppose a coin is tossed three times.
Find a sample space for this experiment.
Find the event E that at least one toss is a head.
Suppose a fuse is tested until it fails.
Find a sample space for this experiment.
Let $E_k$ be the event that a fuse fails in less than $k$ hours, $k = 1, 2, \ldots$. Find
$E_1 \cup E_2 \cup E_3$
$E_1 \cap E_2 \cap E_3$
$E_3 \cap E_2^c$
$\cup_{k=1}^\infty E_k$
$\cap_{k=1}^\infty E_k$