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You want to find the probability of getting at most 2 successes in 8 trials with success chance 0.5 using scipy. Which code snippet correctly calculates this cumulative probability?

hard📝 Application Q15 of 15
SciPy - Statistical Functions (scipy.stats) Basics
You want to find the probability of getting at most 2 successes in 8 trials with success chance 0.5 using scipy. Which code snippet correctly calculates this cumulative probability?
Abinom.cdf(8, 2, 0.5)
Bbinom.pmf(2, 8, 0.5)
Cbinom.sf(2, 8, 0.5)
Dbinom.cdf(2, 8, 0.5)
Step-by-Step Solution
Solution:
  1. Step 1: Understand cumulative probability for 'at most' successes

    To find probability of at most 2 successes, use cumulative distribution function (cdf) up to 2.
  2. Step 2: Match correct function and parameters

    binom.cdf(2, 8, 0.5) correctly computes P(X ≤ 2) for n=8, p=0.5. Other options either use pmf (exact), sf (survival function), or wrong parameter order.
  3. Final Answer:

    binom.cdf(2, 8, 0.5) -> Option D
  4. Quick Check:

    Use binom.cdf(k,n,p) for P(X ≤ k) [OK]
Quick Trick: Use binom.cdf for cumulative probability up to k [OK]
Common Mistakes:
MISTAKES
  • Using pmf instead of cdf for cumulative
  • Swapping n and k parameters
  • Using survival function sf for 'at most' instead of 'more than'

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