Chapter 5

1. Random Variables

a. Discrete Random Variables

i. Countable units.  There is a finite amount of

outcomes with probability values

b. Continuous Random Variables

i. Infinite units.  There is an infinite amount of

outcomes.  Usually the random variable is defined

with an equation where the area under a curve is

equal to one.

2. Probability Distribution of Discrete Random Variables

a. Each outcome for the random variable must take on

a numerical value.

b. Each outcome is assigned a probability value.

c. The sum of the probability values must equal one.

3. Mean and Standard Deviation of the Discrete

Probability Distribution

a. Mean will now be represented as “mu”.  This is

used because it represents what occurs in the

population.

b.

c. The Variance will now be represented as...

d.

4. Binomial Probability Distribution

a. Binomial occurs when there are two outcomes.

Success vs. Failure.

b. Important characteristics for Binomial Probability.

i. Independent Events

ii. Set number of trials

iii. Two possible outcomes

iv. Probability of events don’t change.

c.

5. Mean and Variance for Binomial Proability

a.

b.

Statistics

Syllabus

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