Bellringer
Make sure you answer the daily check in question I posted on Google Classroom on Sunday. (How did first week go)
Using the TI-83 to find the mean and standard deviation of a random variable-watch video
Turn in exercises from Friday. pg 361 #6.22, 6.24, 6.30, 6.32 pg 384 # 35-36 - see my email to you
Watch video - Combining random variables (Watch all 4 videos in the series)
Read pages 369-381
Objectives
- Find probabilities involving the sum or difference of independent random variables
Agenda
- Rules for Linear transformations - Handout -google classroom - under materials also: -see note below
Why add even for the difference of the variables?
We buy some cereal. The box says “16 ounces.” We know that’s not precisely the weight of the cereal in the box, just close. After all, one corn flake more or less would change the weight ever so slightly. Weights of such boxes of cereal vary somewhat, and our uncertainty about the exact weight is expressed by the variance (or standard deviation) of those weights.
Next we get out a bowl that holds 3 ounces of cereal and pour it full. Our pouring skill is not very precise, so the bowl now contains about 3 ounces with some variability (uncertainty).
How much cereal is left in the box? Well, we assume about 13 ounces. But notice that we’re less certain about this remaining weight than we were about the weight before we poured out the bowlful. The variability of the weight in the box has increased even though we subtracted cereal.
Moral: Every time something happens at random, whether it adds to the pile or subtracts from it, uncertainty (read “variance”) increases.
Assignments
This section is a little longer, the video on Khan academy explains the material, watch all 4 videos in the series on the link. You can finish this set of exercises tomorrow if you do not get done today
pg 382 +: 37,39-41, 42, 44, 47, 57, 58, 60
Bellringer
Finish the exercises from Monday.
Objectives
- Find probabilities involving the sum or difference of independent random variables
Agenda
- Complete exercises listed yesterday- turn in on Google Classroom
Assignments
pg 382 +: 37,39-41, 42, 44, 47, 57, 58, 60
Read section 6.3 pgs 386-410.
Bellringer
In order to calculate a binomial distribution probability we have to understand permutations and combinations
Watch the video on this topic
Here is how you can use the TI-83 to calculate Combinations/Permutations
Objectives
- Determine whether the conditions for using a binomial random variable are met.
- Compute and interpret probabilities involving binomial distributions.
- Calculate the mean and standard deviation of a binomial random variable. Interpret these values in context.
- Find probabilities involving geometric random variables.
- When appropriate,use the Normal approximation to the binomial distribution to calculate probabilities.
Agenda
Download this packet Binomial Distribution packet - summary of this section to refer to.
Go to Google Classroom and open the Binomial Distribution Video Questions
Watch this video Binomial Distribution Video
As you watch the video answer the questions. Submit on google classroom when done.
Closure
Assignment
Binomial distribution Video questions