It rains 3 days per month on average in California. What is the probability that there will be all rainless day during 4 months? A None B D E -12 12e-4 3e-4 4e-3

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### Probability Question on Rainfall in California

**Question:**
It rains 3 days per month on average in California. What is the probability that there will be all rainless day during 4 months?

**Options:**
- **A.** None
- **B.** \( e^{-12} \)
- **C.** \( 12e^{-4} \)
- **D.** \( 3e^{-4} \)
- **E.** \( 4e^{-3} \)

This question is designed to test the understanding of probability concepts related to Poisson distribution, a statistical measure typically used to express the likelihood of a given number of events occurring within a fixed interval of time or space. In this case, it investigates the chance of observing a specific number of rainless days over an extended period given an average monthly rainfall frequency.
Transcribed Image Text:### Probability Question on Rainfall in California **Question:** It rains 3 days per month on average in California. What is the probability that there will be all rainless day during 4 months? **Options:** - **A.** None - **B.** \( e^{-12} \) - **C.** \( 12e^{-4} \) - **D.** \( 3e^{-4} \) - **E.** \( 4e^{-3} \) This question is designed to test the understanding of probability concepts related to Poisson distribution, a statistical measure typically used to express the likelihood of a given number of events occurring within a fixed interval of time or space. In this case, it investigates the chance of observing a specific number of rainless days over an extended period given an average monthly rainfall frequency.
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