100AHW2 - STAT 100A HWII Due next Wed Problem 1 If we flip...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: STAT 100A HWII Due next Wed Problem 1: If we flip a fair coin n times independently, what is the probability that we observe k heads? k = 0, 1, ..., n. Please explain your answer. Problem 2: Prove the following two identities: ¯ (1) P (A|B ) = 1 − P (A|B ). (1) P (A ∩ B |C ) = P (A|B ∩ C )P (B |C ). Problem 3: Independence. If P (A|B ) = P (A), prove (1) P (A ∩ B ) = P (A)P (B ). (2) P (B |A) = P (B ). Problem 4: Suppose an urn has r red balls and b black balls. We randomly pick a ball. Then we put 3 balls of the same color back to the urn. Then we randomly pick a ball again. What is the probability that the second pick is red? 1 ...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online