SciPy - Statistical Functions (scipy.stats) Basics
You have a Poisson distribution with mean 2.5. How do you calculate the probability of receiving more than 3 events using scipy?
You have a Poisson distribution with mean 2.5. How do you calculate the probability of receiving more than 3 events using scipy?
hard📝 Application Q9 of 15
Step-by-Step Solution
Solution:
Step 1: Understand how to get P(X > 3)
P(X > 3) = 1 - P(X ≤ 3) = 1 - cdf(3).Step 2: Recognize survival function (sf)
poisson.sf(3, 2.5) directly gives P(X > 3).Step 3: Check other options
poisson.pmf(4, 2.5) + poisson.pmf(5, 2.5) sums pmf for 4 and 5 only, missing higher values, so incomplete.Final Answer:
Both 1 - poisson.cdf(3, 2.5) and poisson.sf(3, 2.5) are correct -> Option BQuick Check:
Use 1 - cdf or sf for > queries [OK]
Quick Trick: Use sf() or 1 - cdf() for greater than queries [OK]
Common Mistakes:
MISTAKES- Summing only few pmfs
- Confusing sf with pmf
- Using wrong mean value
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