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6.1 Day 1 Discrete and Continuous Random Variables

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Page 1: Discrete and Continuous Random Variables.  13 out of 21 students correctly identified the bottled water. How many correct identifications would you need

6.1 Day 1Discrete and Continuous Random Variables

Page 2: Discrete and Continuous Random Variables.  13 out of 21 students correctly identified the bottled water. How many correct identifications would you need

13 out of 21 students correctly identified the bottled water. How many correct identifications would you need to see to be convinced that the students in your class aren’t just guessing? With your partners, design and carry out a simulation to answer this question. What do you conclude about the class’s ability to distinguish tap water from bottle water?

Bottled Water Problem

Page 3: Discrete and Continuous Random Variables.  13 out of 21 students correctly identified the bottled water. How many correct identifications would you need

I can use a probability distribution to answer questions about possible values of a random variable.

I can calculate the mean of a discrete random variable.

I can interpret the mean of a random variable

Learning Targets

Page 4: Discrete and Continuous Random Variables.  13 out of 21 students correctly identified the bottled water. How many correct identifications would you need

A random variable takes numerical values that describe the outcomes of some chance process. The probability distribution of a random variable gives its possible value and their probabilities.

Random Variable and Probability Distribution

Page 5: Discrete and Continuous Random Variables.  13 out of 21 students correctly identified the bottled water. How many correct identifications would you need

Discrete Random Variables

Page 6: Discrete and Continuous Random Variables.  13 out of 21 students correctly identified the bottled water. How many correct identifications would you need

NHL Goals

Page 7: Discrete and Continuous Random Variables.  13 out of 21 students correctly identified the bottled water. How many correct identifications would you need

Mean (expected value) of a discrete random variable

Page 8: Discrete and Continuous Random Variables.  13 out of 21 students correctly identified the bottled water. How many correct identifications would you need

NHL Goals

d. Compute the mean of the random variable X and interpret this value in context.

Page 9: Discrete and Continuous Random Variables.  13 out of 21 students correctly identified the bottled water. How many correct identifications would you need

I can use a probability distribution to answer questions about possible values of a random variable.

I can calculate the mean of a discrete random variable.

I can interpret the mean of a random variable

Learning Targets

Page 10: Discrete and Continuous Random Variables.  13 out of 21 students correctly identified the bottled water. How many correct identifications would you need

Page 353: 2, 4, 6, 8, 10, 12Read pages 340-346

Assignment