Probability
BME 220
Prof Olds
Fall Quarter 2017
Todays Goals
Be the end of class today, you should be able to
Draw the sample space for a probability scenario
Determine if an event is disjoint or con
Data Summarization
BME 220
Prof Olds
Fall Quarter 2017
Todays Goals
Be the end of class today, you should be able to
Use MATLAB to find the measures of central
tendency (mean, median, mode)
Find m
Data Types and Data
Summarization
BME 220
Prof Olds
Fall Quarter 2017
Todays Goals
Be the end of class today, you should be able to
Classify variables as categorical, ranked, numerical
discrete, or
Probability
Conditional Probability, Bayes Rule
BME 220
Prof Olds
Fall Quarter 2017
Todays Goals
Be the end of class today, you should be able to
Determine if a set of events are exhaustive
Determine
Central Limit Theorem Wrap-up
and Confidence Intervals
BME 220
Prof Olds
Fall Quarter 2017
Todays (and Fridays) Goals
Be the end of class today, you should be able to
Define simple random sample
R
Hypothesis Testing:
Nonparametric tests
BME 220
Prof Olds
Fall Quarter 2017
Announcements
The power video lectures are not done yet. I will post those either today or
tomorrow
Exam 2 is on Wednesda
Non-parametric Wrap-Up
Hypothesis Testing for Categorical Data
BME 220
Prof Olds
Fall Quarter 2017
Distribution of total scores
Mean: 39.6 (out of 48) 82.4%
Standard dev: 9.0
Low: 10.5
High: 48 (6)
I
Chapter 5 Wrap-up
Sampling Distribu6on, Central Limit
Theorem
Announcements
Many exam prep resources have been posted
(Exam 1 from past 2 years plus solu6ons,
prac6ce p
Continuous Probability
Distributions
Find the following using Rosner tables
plus MATLAB:
Find the following using Rosner tables plus MATLAB:
P(Z 2) = (2)=0.9772, normcdf(2,0,1)
P(Z < 2) = (2)=0.97
Topic 19. Conservation of momentum: force of a jet on a plate
Be sure you understand how to draw control volumes and normal vectors.
Be sure you know how to divide up a vector into its components
Be s
Topic 32: Dimensional Similitude
Four Important facts about dimensional analysis (you need to know facts 1 - 4 for the exam)
Fact 1. Dimensional analysis is important, even though were not having a ch
1. A 100-ft-wide river with a flowrate of 2400 ft3/s
flows over a rock pile as shown in the figure.
Determine the direction of flow and the head loss
associated with the flow across the rock pile.
2.
Problem 1) Write down the Reynolds Transport Theorem (RTT). Label the Lagrangian side of the RTT and
the Eulerian side of the RTT. Clearly identify all variables in the RTT.
1 point Eulerian vs. Lagra
Topic: General characteristics of pipe flow
Note: For many of these problems, you will need to use the tables provided in Topic Zero
1. Water flows through a 50-ft pipe with a 0.5 inch diameter at 5 g
Topic 20: Conservation of momentum: confined flows
Here is a way to think about forces on pipes, nozzles, bends, etc
Here is a nozzle. In general, P2 does not need to equal Patm.
Define P1 and P2 to b
Topic 29: Major vs. Minor losses
1. A person with no experience in fluid mechanics wants to estimate the friction factor for 1 inch
diameter galvanized iron pipe at a Reynolds number of 8,000. The per
Topic 24: Conservation of Mass
1. It takes you about 1 min to fill your cars fuel tank with 13.5 gallons of gasoline. What is the approximate
average velocity of the gasoline leaving the nozzle at thi
Topic 18. Buoyancy and Stability
Hint: Students often lose points on exams because they do not indicate whether is fluid or object. We hate to
take points off for this, but often times we cannot tell
Topic 18. Buoyancy and Stability
Hint: Students often lose points on exams because they do not indicate whether is fluid or object. We hate to
take points off for this, but often times we cannot tell
Topic 02 Basic properties of fluids
1. Gaining some physical intuition for orders of magnitude and the properties of our amazing planet.
There are FOUR NUMBERS you must memorize for this course.
For t
Manometers
Remember that for this class, all manometer problems will contain only
incompressible fluids.
1. What is the specific weight A of the fluid in pipe A?
The manometer is open to the atmospher
Stacked incompresible fluids
1. Find the pressure in the fish tank as a function of z. Assume 1 and 2 are constants
1A. Express your answer in gage pressure
1B. Express your answer in absolute pressur
Incompressible, single fluids
1. Find the pressure in the fish tank as a function of z. Assume = constant
1A. Express your answer in absolute pressure
1B. Express your answer in gage pressure
1C. Supp
Pascals law and pressure variation in a fluid at rest
1. Circle true or false. The pressure at any point in a moving, inviscid fluid is the same in all directions, as
long as that fluid is contained i
1. Consider the vector field V and the scalar function
If it is possible, find the quantities requested below. If it is not possible to find the quantity, write not possible
xV
V
V
2V
2
x
V
(V )V
2.
Topic 19: Review of Kinematics
Please memorize this derivation so that you never need to memorize any of these equations ever
again.
Yes, you need to memorize the quadratic formula.
a=a
Z
v=
a dt = at
The ideal gas law
We will not cover the ideal gas law in very much detail in this course. The reasons are that:
1) presumably, you have worked with the law already quite a bit in chemistry and in ther
Instructions for Lab 2
Remember: Do not let the pump run dry. Be sure that the pump is completely covered in water at all times.
This means that the outlet of the Tygon tube must run back to the water