Engr 2113 ece math

OpenStax

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Sampling and data

0.1 Optional collaborative classroom exercise

4 Answers and rounding off

7 Practice: sampling and data

Descriptive statistics

Stem and leaf graphs (stemplots), line graphs and bar graphs

2 Measures of the center of the data

3 Skewness and the mean, median, and mode

4 Measures of the spread of the data

5 Summary of formulas

6 Practice 1: center of the data

7 Practice 2: spread of the data

Sets and counting

2 Venn diagrams (optional)

3 Union of sets

4 Intersection of sets

5 Difference of sets

6 Working with two sets

7 Working with three sets

8 Cartesian product

9 Cartesian product (exercise)

10 Probability concepts -- probability

11 Probability concepts -- permutations

12 Probability concepts -- combinations

13 Tree diagrams (optional)

Probability topics

Probability topics

3 Two basic rules of probability

4 Independent and mutually exclusive events

5 Contingency tables

6 Summary of formulas

7 Practice 1: contingency tables

8 Practice 2: calculating probabilities

Discrete random variables

Discrete random variables

1 Probability distribution function (pdf) for a discrete random variable

2 Mean or expected value and standard deviation

3 Common discrete probability distribution functions

5 Geometric (optional)

6 Hypergeometric (optional)

8 Summary of functions

9 Practice 1: discrete distribution

10 Practice 2: binomial distribution

11 Practice 3: poisson distribution

12 Practice 4: geometric distribution

13 Practice 5: hypergeometric distribution

16 Lab 1: discrete distribution (playing card experiment)

17 Lab 2: discrete distribution (lucky dice experiment)

18 Binomial distribution

Continuous random variables

Continuous random variables

1 Continuous probability functions

2 The uniform distribution

3 The exponential distribution

4 Summary of the uniform and exponential probability distributions

5 Practice 1: uniform distribution

6 Practice 2: exponential distribution

9 Lab: continuous distribution

The normal distribution

The normal distribution

1 The standard normal distribution

3 Areas to the left and right of x

4 Calculations of probabilities

5 Summary of formulas

6 Practice: the normal distribution

9 Lab 1: normal distribution (lap times)

10 Lab 2: normal distribution (pinkie length)

Practice final exam 1

1 Practice final exam 2

2 English phrases written mathematically

3 Symbols and their meanings

5 Some mathmatical formulas

Source: OpenStax, Engr 2113 ece math. OpenStax CNX. Aug 27, 2010 Download for free at http://cnx.org/content/col11224/1.1

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