Question

The table below shows the SAT scores for 10 randomly-selected applicants to UCSD, along with whether or not they were admitted.

Score Admitted?

1240 Y

1310 Y

1470 Y

1500 Y

1200 N

1200 N

1220 N

1250 N

1290 N

1400 N

Your friend is applying to UCSD with an SAT score of 1300. Using Gaussians to estimate the conditional probabilities involved, use a Bayes classifier to predict whether your friend will be admitted or not. Show your work and all calculations involved.

Hint: You can use scipy.stats.norm.pdf to from the Python package scipy to evaluate the normal PDF (or another similar function in a different language). But make sure you know how the function works. In particular, does it require the standard deviation, or the variance?

Answer 1