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On a December day, the probability of snow is .30. the probability of a "cold" day is .50. the probability of snow and "cold" weather is .15. are snow and "cold" weather independent events?
in Data Science & Statistics by Diamond (75,914 points) | 2,094 views

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Given: $P(\text{snow}) = 0.30$

$P(\text{cold}) = 0.5$

$P(\text{snow and cold}) = 0.15$

If snow and cold weather independent events, this must hold true:

\[P(\text{snow} \cup \text{cold}) = P({\text{snow}}) \times P(\text{cold}) = 0.3 \times 0.5 = 0.15 = P(\text{snow and cold}).\]

Therefore snow and cold weather independent events.
by Diamond (40,192 points)
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