Download presentation
Presentation is loading. Please wait.
Published byFrederica Daniella Ferguson Modified over 9 years ago
1
MAT 1235 Calculus II Section 8.5 Probability http://myhome.spu.edu/lauw
2
HW WebAssign 8.5 (6 problems, 65 min.) Quiz: 8.2, 8.5 on Wed.
3
Preview Provide a 30-minute snapshot of probability theory and its relationship with integration.
4
Preview Provide a 30-minute snapshot of probability theory and its relationship with integration. Engineering: MAT2200 (3) Math major/minor: MAT 3360 (5)
5
Random Variables Variables related to random behaviors
6
Example 1
7
Continuous Random Variables Take range over an interval of real numbers.
8
Probability… of an event = the chance that the event will happen
9
Example 2
10
Probability… …of an event = the chance that the event will happen …is always between 0 and 1.
11
Example 3
12
Probability Density Function
13
Properties:
14
Example 4
16
Average Value of a pdf
17
Example 4
18
Exponential Distribution
19
Example 5 The customer service at AT&T has an average waiting time of 2 minutes. Assume we can use the exponential distribution to model the waiting time. Find the probability that customer will be served within 5 minutes.
20
Example 5
21
Remarks If a random variable is not given, be sure to define it.
Similar presentations
© 2025 SlidePlayer.com. Inc.
All rights reserved.