## Elementary Statistics

Part 2: Probability, Probability Distributions, and Sampling Distributions

#### Sections

• 5. Probability in Our Daily Lives (pdf)
• 6. Probability Distributions (pdf)
• 7. Sampling Distributions (pdf)
• Review of Part 2, Probability (pdf)

#### Binomial distributions

• Binomial distribution (Rmd pdf)

#### Sampling distributions

• Barrel of marbles (Rmd pdf)
• Cherry Blossom Run, 2012 (Rmd pdf)

#### Data (for selected hw exercises)

• Chapter 5 (r)
• Chapter 6 (r)
• Chapter 7 (r)
• Part 2 (r)

#### R commands for Part 2

• arithmetic:
• +, -, *, /, ^

• mean and sd:
• mean(data)
• sd(data)

• normal and binomial probability distributions:
• pnorm(q, mean, sd), qnorm(p, mean, sd)
• dbinom(x, size, prob), pbinom(q, size, prob)

#### Homework

• Chapter 5 -- 5.10 (coin), 5.12 (stock market), 5.21 (risky behavior), 5.23 (seat belts), 5.34 (free throws), 5.38 (job), 5.40 (serves), 5.50 (Masters), 5.57 (mammogram)
• Chapter 6 -- 6.10 (profit), 6.12 (uniform distribution), 6.15 (tail), 6.22 (female heights), 6.23 (blood pressure), 6.27 (MDI), 6.28 (quartiles), 6.39 (NBA), 6.40 (season performance), 6.42 (exit poll)
• Chapter 7 -- 7.1 (exit poll), 7.5 (exit poll), 7.6 (exit poll), 7.10 (n), 7.11 (Syracuse), 7.18 (farm workers), 7.25 (CLT), 7.26 (CLT), 7.27 (n=2), 7.28 (exit poll), 7.29 (counts)

#### Review Exercises

Consolidate your understanding of the concepts in part 2 by working through a number of these exercises.

Review exercises and problems for part 2
• Chapter 5 -- 5.75 (health insurance), 5.78 (detergent), 5.88 (screening), 5.90 (color blind), 5.100 (heroin), 5.101 (school)
• Chapter 6 -- 6.35 (symmetric binomial), 6.36 (girls), 6.43 (jury duty), 6.58 (cholesterol), 6.61 (gestation), 6.62 (water), 6.67 (tennis balls)
• Chapter 7 -- 7.30 (exam), 7.32 (Alzheimer's), 7.37 (home runs), 7.38 (physicians assistants), 7.39 (withdrawals)
• Review of Part 2 -- R2.3 (stem cell), R2.4 (happy), R2.8 (SAT), R2.13 (war), R2.15 (ice cream)

cparrish@sewanee.edu