Section 8.5

Probability

The area under a Probability Density Function is the probability of an event. The total area is exactly 1.

1

PDFs

.
Mean: .

Probability Density

Normal Distribution (Area = 1)

Mean (0)
SD (1)
2

Worked Example: Exponential

Waiting Time

for . Find Prob wait is under 10 min.

1. Formula
.
2. Integrate
.
.
3. Result
. (63.2% chance).
3

Level Up Examples

Mean Value

Average waiting time.

.
Use Integration by Parts. Result = 10 mins.
5

Practice Quiz

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