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You want to find the probability of observing at most 2 events when the average rate is 1.5. Which scipy code correctly calculates this?

hard📝 Application Q15 of 15
SciPy - Statistical Functions (scipy.stats) Basics
You want to find the probability of observing at most 2 events when the average rate is 1.5. Which scipy code correctly calculates this?
Apoisson.cdf(2, mu=1.5)
Bpoisson.pmf(2, mu=1.5)
Cpoisson.sf(2, mu=1.5)
Dpoisson.cdf(1.5, mu=2)
Step-by-Step Solution
Solution:

  1. Step 1: Understand the problem requirement

    We want the probability of at most 2 events, which means P(X ≤ 2).

  2. Step 2: Identify the correct scipy function

    poisson.cdf(k, mu) gives P(X ≤ k). So poisson.cdf(2, mu=1.5) is correct.

  3. Final Answer:

    poisson.cdf(2, mu=1.5) -> Option A

  4. Quick Check:

    At most k events = cdf(k) [OK]
Quick Trick: Use cdf(k) for probability of up to k events [OK]
Common Mistakes:
MISTAKES
  • Using pmf instead of cdf for cumulative probability
  • Confusing survival function (sf) with cdf
  • Swapping mu and k parameters

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