Probability & Statistics

Question 1

Empirical Cumulative Distribution Function (ECDF)

Answer 1

• X-axis is the unit of the feature
• Y-axis is the fraction of data that has smaller than the corresponding X value
• It always accumulates to 1

Question 2

Probability Distributions

Answer 2

1. Bernouli
2. Uniform
3. Binomial
4. Poisson
5. Exponential
6. Normal
7. Gamma
8. Beta

Question 3

Probability Density Function

Answer 3

Probability of a given range to occur instead of a single instance, which would be close to zero since a continous range can be quite large

Question 4

Bernoulli Distribution

Answer 4

Distribution between 0 and 1

Question 5

Binomial Distribution

Answer 5

Discrete version of a normal dist (which is continous)

Question 6

Poisson Distribution

Answer 6

Discrete distribution for probability of events occuring in a fixed interval.

Every interval is the same as the other.

No interval affects another interval.

Examples that may follow a Poisson distribution include the number of phone calls received by a call center per hour

Question 7

What is the central limit theorem

Answer 7

Taking means of random samples from any distribution will come back with a normal distribution of sample means