Homework 6 Answers

BSTA 550

Questions

1. Partial answers:

• 7. \(p_{X|Y}(X=\text{high school}| Y=\text{no smoking at all}) = 0.476\)
• 8. \(p_{Y|X}( Y=\text{no smoking at all}|X=\text{high school}) = 0.200\)

2. • 1. \(p_{X,Y}(x,y) = [0.99^{x-1}0.01][0.97^{y-1}0.03]\) for \(x,y = 0, 1, 2, ...\)
   • 2. And hint:
   • 3. 
3. • 1. \(f_{X|Y}(x|y)=\frac{1}{2}\) for (need \(x\) and \(y\) domains)
   • 3. \(\frac{4}{7}\)

4. Not given

5. First row given in homework problem

6. #3: Poisson approximation of Binomial when \(n\) is large and \(p\) is small