12.1 alg2 - Moline High School

April 27, 2015
Warmup
A jar contains ten black buttons, eight red buttons, four green
buttons and six brown buttons. If a button is picked at random, what
is the probability that...
Algebra 2
12.1 Probability Distributions
1. the button is red?
2. the button is green or brown?
3. the button is orange?
Learning Target:
I can make a probability distribution. [S.IC.2]
Frequency Table
> a way of summarizing data.
> a list of the outcomes in a sample space.
> depicts the number of times each outcome or value occurs.
1. Twenty people were asked to state the number of hours they sleep
each night. The results of the survey are listed below. Create a
frequency table to display the data.
We can use frequency tables to compute probability.
Recall:
experimental probability =
number of times the event occurs
total of all events
2. Looking at the previous problem, what is the probability that a person
slept:
a) 6 hours?
b) 7 - 9 hours?
c) more than 9 hours?
April 27, 2015
A) 7 times a week.
Probability distribution
> a function that gives the probability of each event in a sample
space.
> the sum of all the probabilities in the probability distribution
must equal 1.
> can use a table or a graph to show a probability distribution.
B) one or more times a week.
4. Suppose you roll two number cubes. Show the probability
distribution for the sum of the numbers as a table and a graph.
3. Find the probability that
an elderly person living
alone will have contact
with his or her children
Rolling Two Number Cubes
Sum
Frequency
Probability
April 27, 2015
Assignment:
Frequency Tables & Probability Distributions WS
7. During lunch on Monday, the cafeteria deli sold soft drinks to 32
customers, bottled waters to 12 customers, sandwiches to 16
customers, tacos to 12 customers, salads to 13 customers, and baked
potatoes to 9 customers. There were a total of 50 customers during
lunch on Monday.
a. Make two frequency tables for the data - one for beverages & one
for food. Extend the tables to include probability distribution.
b. What is the probability that the next customer will order a drink?
6. Use a table and a graph to show the probability
distribution for the spinner {red, green, blue,
yellow}.
5. You roll two number cubes. Make a table to show the probability
distribution for each sample space.
a) {the sum of the cubes is 6, the sum is 10, the sum is not equal to 6 or 10}
b) {both cubes show same number, the cubes show different numbers}