Different topics and problems in statistics and probability:
Anita randomly picks 4 cards from a deck of 52-cards and places them back into the deck (Any set of 4 cards is equally likely). Then, Babita randomly chooses 8 cards out of the same deck (Any set of 8 cards is equally likely). Assume that the choice of 4 cards by Anita and the choice of 8 cards by Babita are independent. What is the probability that all 4 cards chosen by Anita are in the set of 8 cards chosen by Babita?
Two solution methods are suggested:
(i) Monte Carlo simulation, and
(ii) Exact method
Show how t-distribution converges to normal distribution
Use Monte Carlo Integration to estimate the CDF of a t-distribution at point a
.
Confirm the results using the inverse of CDF
function: PPF
Perform forward stepwise feature selection to narrow down predictors (a.k.a. features, or independent variables) in linear regression
Use k-fold cross-validation method and Root Mean Squared Error (RMSE) for evaluating and choosing regression models.
Probablity that two persons in a group are born on the same day.