Conditional probabilities P R AC TIC IN G STATISTIC S IN TE R VIE - - PowerPoint PPT Presentation

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Conditional probabilities P R AC TIC IN G STATISTIC S IN TE R VIE - - PowerPoint PPT Presentation

Mar 11, 2023 226 likes •525 views

Conditional probabilities P R AC TIC IN G STATISTIC S IN TE R VIE W QU E STION S IN P YTH ON Conor De w e y Data Scientist , Sq u arespace Co u rse o v er v ie w 1. Probabilit y and sampling distrib u tions 2. E x plorator y data anal y sis 3.

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Conditional probabilities

P R AC TIC IN G STATISTIC S IN TE R VIE W QU E STION S IN P YTH ON

Conor Dewey

Data Scientist, Squarespace

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PRACTICING STATISTICS INTERVIEW QUESTIONS IN PYTHON

Course overview

  • 1. Probability and sampling distributions
  • 2. Exploratory data analysis
  • 3. Statistical experiments
  • 4. Regression and classication
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PRACTICING STATISTICS INTERVIEW QUESTIONS IN PYTHON

Quick review

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PRACTICING STATISTICS INTERVIEW QUESTIONS IN PYTHON

Bayes' theorem

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PRACTICING STATISTICS INTERVIEW QUESTIONS IN PYTHON

Probability tree diagrams

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PRACTICING STATISTICS INTERVIEW QUESTIONS IN PYTHON

Example: passing the interview

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PRACTICING STATISTICS INTERVIEW QUESTIONS IN PYTHON

Example: passing the interview

both = 0.25 * 0.40 print(both) coding = (0.25 * 0.40) + (0.75 * 0.20) print(coding) 0.1 0.25 stats_given_coding = both / coding print(stats_given_coding) 0.4

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PRACTICING STATISTICS INTERVIEW QUESTIONS IN PYTHON

Summary

Conditional probabilities Bayes' theorem Probability tree diagrams

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Let's prepare for the interview!

P R AC TIC IN G STATISTIC S IN TE R VIE W QU E STION S IN P YTH ON

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Central limit theorem

P R AC TIC IN G STATISTIC S IN TE R VIE W QU E STION S IN P YTH ON

Conor Dewey

Data Scientist, Squarespace

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PRACTICING STATISTICS INTERVIEW QUESTIONS IN PYTHON

What does it mean?

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PRACTICING STATISTICS INTERVIEW QUESTIONS IN PYTHON

Why does it matter?

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PRACTICING STATISTICS INTERVIEW QUESTIONS IN PYTHON

Law of large numbers

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PRACTICING STATISTICS INTERVIEW QUESTIONS IN PYTHON

Simulating CLT in Python

np.random.randint(start, end, size)

How to Visualize the Central Limit Theorem in Python

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PRACTICING STATISTICS INTERVIEW QUESTIONS IN PYTHON

List comprehension

x = [1,2,3,4]

  • ut = []

for item in x:

  • ut.append(item**2)

print(out) [1, 4, 9, 16] x = [1,2,3,4]

  • ut = [item**2 for item in x]

print(out) [1, 4, 9, 16]

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PRACTICING STATISTICS INTERVIEW QUESTIONS IN PYTHON

Summary

Central limit theorem Law of large numbers Simulating die rolls List comprehension

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Let's prepare for the interview!

P R AC TIC IN G STATISTIC S IN TE R VIE W QU E STION S IN P YTH ON

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Probability distributions

P R AC TIC IN G STATISTIC S IN TE R VIE W QU E STION S IN P YTH ON

Conor Dewey

Data Scientist, Squarespace

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PRACTICING STATISTICS INTERVIEW QUESTIONS IN PYTHON

What's a probability distribution?

Indicates likelihood of an outcome Probabilities must add up to 1

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PRACTICING STATISTICS INTERVIEW QUESTIONS IN PYTHON

Overview of common distributions

Common Probability Distributions: The Data Scientists Crib Sheet

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PRACTICING STATISTICS INTERVIEW QUESTIONS IN PYTHON

Overview of common distributions

Common Probability Distributions: The Data Scientists Crib Sheet

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PRACTICING STATISTICS INTERVIEW QUESTIONS IN PYTHON

Bernoulli distribution

plt.hist(bernoulli.rvs(p=0.5, size=1000))

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PRACTICING STATISTICS INTERVIEW QUESTIONS IN PYTHON

Binomial distribution

plt.hist(binom.rvs(2, 0.5, size=10000))

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PRACTICING STATISTICS INTERVIEW QUESTIONS IN PYTHON

Normal distribution

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PRACTICING STATISTICS INTERVIEW QUESTIONS IN PYTHON

Poisson distribution

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PRACTICING STATISTICS INTERVIEW QUESTIONS IN PYTHON

Poisson distribution

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PRACTICING STATISTICS INTERVIEW QUESTIONS IN PYTHON

Summary

Denition of probability distributions Overview of common distributions Bernoulli, binomial, normal, and Poisson

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Let's prepare for the interview!

P R AC TIC IN G STATISTIC S IN TE R VIE W QU E STION S IN P YTH ON