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| math-340:m340-f15-hw:hw-1 [2015/08/25 08:02] – created dcs | math-340:m340-f15-hw:hw-1 [2015/08/26 05:51] – dcs | ||
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| - Suppose a fuse is tested until it fails. | - Suppose a fuse is tested until it fails. | ||
| - Find a sample space for this experiment. | - 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 $E_1 \cup E_2 \cup E_3$, $E_1 \cap E_2 \cap E_3$ $\cup_{k=1}^\infty E_k$, and $\cap_{k=1}^\infty E_k$ | + | - Let $E_k$ be the event that a fuse fails in less than $k$ hours, $k = 1, 2, \ldots$. Find |
| + | - $E_1 \cup E_2 \cup E_3$ | ||
| + | - $E_1 \cap E_2 \cap E_3$ | ||
| + | - $E_3 \cap E_2^c$ | ||
| + | - $\cup_{k=1}^\infty E_k$ | ||
| + | - $\cap_{k=1}^\infty E_k$ | ||
