Discrete Random Variables
Exercises
Correction
Correction
| Random Variables | |
|---|---|
| Definitions | |
| Finding the Value of a Random Variable | Ex 1 Ex 2 Ex 3 Ex 4 Ex 5 Ex 6 |
| Identifying the possible values | Ex 7 Ex 8 Ex 9 Ex 10 |
| Defining A Random Variable | Ex 11 Ex 12 Ex 13 Ex 14 |
| Finding Events Involving a Random Variable | Ex 15 Ex 16 Ex 17 Ex 18 |
| Defining a Random Variable to Model a Situation | Ex 19 Ex 20 Ex 21 Ex 22 |
| Probability Distribution | |
| Finding the Probability Distribution | Ex 23 Ex 24 Ex 25 Ex 26 |
| Reading Probability Distributions from Graphs | Ex 27 Ex 28 Ex 29 Ex 30 |
| Constructing a Probability Distribution | Ex 31 Ex 32 Ex 33 Ex 34 |
| Existence of a Random variable with a given Probability Distribution | |
| Verifying Probability Distribution Validity | Ex 35 Ex 36 Ex 37 Ex 38 |
| Defining a Random Variable and Its Probability Distribution | Ex 39 Ex 40 Ex 41 Ex 42 |
| Finding Probabilities in Everyday Scenarios | Ex 43 Ex 44 Ex 45 Ex 46 |
| Expectation | |
| Definition | |
| Calculating Expectations | Ex 47 Ex 48 Ex 49 Ex 50 |
| Exploring Expected Values | Ex 51 Ex 52 Ex 53 Ex 54 |
| Variance and Standard Deviation | |
| Definitions | |
| Calculating Standard Deviation | Ex 55 Ex 56 Ex 57 Ex 58 |
| Choosing Based on Expected Values and Risk | Ex 59 Ex 60 Ex 61 Ex 62 |
| Classical Distributions | |
| Uniform Distribution | |
| Identifying Uniform Distributions | Ex 63 Ex 64 Ex 65 Ex 66 |
| Bernoulli Distribution | |
| Identifying Bernoulli Distributions | Ex 67 Ex 68 Ex 69 Ex 70 |
| Finding a Probability of Success | Ex 71 Ex 72 Ex 73 Ex 74 |
| Binomial Distribution | |
| Identifying Binomial Distributions | Ex 75 Ex 76 Ex 77 Ex 78 |
| Finding Probabilities in Everyday Scenarios | Ex 79 Ex 80 Ex 81 Ex 82 |
| Calculating an Expected Value | Ex 83 Ex 84 Ex 85 Ex 86 |