At a casino, the only game is numberless roulette. On a spin of the 'vheel, the ball lands in a space wit h color red ( r), green (g), or black ( b). The wheel has 19 red spaces, 19 green spaces and 2 black spaces. (a) In 40 spins of the wheel, find t he probability of the event A= {19 reds, 19 greens, and 2 blacks} . (b) In 40 spins of the 'vheel, find the probabilityof G19 = {19 greens}. ( c) The only bets a llowed are red and green. Given that you randomly choose to bet red or green, 'vhat is t he probability p that your bet is a vvinner?

STAT-5615: Statistics in Research I Lecture 6 Con▯dence Intervals Ott & Longnecker 4.12, 5.2, 5.3, 5.7 Dr. Christian Lucero Virginia Tech Fall 2016 Topics for this Lecture 1. The General Idea Behind Interval Estimation. 2. Student’s t Distribution 3. Con▯dence Intervals for a single mean m when s is known. 4. Con▯dence Intervals for a single mean m when s is unknown. 5. Interpretation of the Con▯dence Interval. 6. Factors that control the width of CIs. Review 1. Sample Variation and Point Estimation 2. Probability and Probability Distributions 3. Random Variables I Understand the di▯erence between the notati