class_prob1

class_prob1 - number of maroon balls 3 Show that if n →...

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

View Full Document Right Arrow Icon
Class Problems on Bayes Rule and Discrete Random Variables 1. In a city 1% of the population has cancer. A cancer test is effective 98% of the time. If a person has been tested positive for cancer, what is the probability that he/she actually has cancer? 2. An urn contains 6 white and 4 maroon balls. if two balls are selected at random, obtain the pmf of the number of maroon balls in the selection. Also obtain the expected value of the
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: number of maroon balls. 3. Show that if n → ∞ and p → 0 such that np → λ , then Bin ( n,p ) → P ( λ ) in distribution. In other words, show that the PMF of a Bin ( n,p ) random variable equals that of a Poisson random variable with parameter λ as n → ∞ and p → 0 such that np → λ ....
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online