sol.hw5.stat3011

# sol.hw5.stat3011 - Homework 5 Solutions Yicheng Kang 6.2 a...

This preview shows pages 1–3. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

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

Unformatted text preview: Homework 5 Solutions Yicheng Kang October 14, 2010 6.2 a) The probabilities for each possible outcome in the sample space are the same:1/36. There is only one instance in which the maximum is one. Thus, the probability is 1/36. There are three instances in which the maximum is two. Thus, the probability is 3/36. b)These probabilities satisfy the two conditions for a probability distribution: ≤ P ( x ) ≤ 1; and X P ( x ) = 1 . 6.4 a) P (4) = 0 . 20; P (3) = 0 . 40; P (2) = 0 . 30; P (1) = 0 . 10 . b) mean = 1 × . 10 + ··· + 4 × . 20 = 2 . 70 . 6.6 a) Your 3-digit number only matches one of the 1000 points, so P (500) = 1 / 1000. b) P (0) = . 999 and P (500) = . 001 c)mean= 0( . 999) + 500( . 001) = . 50. You expected return ono a one dollar bet is 0.5 dollar. 1 6.10 a) b) P ( x ≤ 50 , 000) = P (50 , 000) + P (20 , 000) = 0 . 20 + 0 . 10 = 0 . 30. x P(x) \$ 80,000 0.70 \$50,000 0.20 \$20,000 0.10 b) μ = 80 , 000(0 . 70)+50 , 000(0 . 20)+20 , 000(0 . 10) = 68 , 000. The wheat farmer’s expected profit is000....
View Full Document

{[ snackBarMessage ]}

### Page1 / 4

sol.hw5.stat3011 - Homework 5 Solutions Yicheng Kang 6.2 a...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online