# Mm207 Unit 3 Chapter 3 Project Form 2[1]

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Total points are 30. Points are included with each problem. Included with each section or problem are reference examples and end of section exercises that can be used as a guide. Be sure to show your work so that partial credit may be awarded. To receive full credit, work must be shown if applicable. Section 3.1: Basic Concepts of Probability and Counting 1. Lock combinations are made by using 4 digits. How many different lock combinations can be made if repetition of digits is allowed? (References: example 4 page 135, end of section exercises 13 - 16 page 142 and 35 – 36 page 144) (6 points) 2. In 2001 the stock market took some big swings up and down. One thousand investors were asked how often they tracked their investments. The table below shows their responses. What is the probability that an investor tracks the portfolio monthly? (References: example 6 page 137, end of section exercises 45 - 48 page 145) (5 points) How often tracked? Response Daily 235 Weekly 278 Monthly 292 Few times a year 136 Do not track 59 Section 3.2: Conditional Probability and the Multiplication Rule 3. a. In a battleground state, 36% of all voters are Republicans. Assuming that there are only two parties - Democrat and Republican, if two voters are randomly selected for a telephone survey, what is the probability that they one is a Democrat followed by a Republican? Round your answer to 4 decimal places. (References: example 4 page 152, end of section exercises 19 – 21 page 156 - 157) (2 points) b. You are dealt 2 cards from a shuffled deck of 52 cards, without replacement. What is the probability that the first card is a King and the second card is a Queen? Round your answer to 3 decimal places. (References: example 3 page 151. (2 points) 4. The table below shows drink preferences for people in 3 different age