Download Unit 2 Statistics and Experimental Probability

Unit 2
Statistics and Experimental Probability
Learning Goals:– I can compare the theoretical probability of an
event with the experimental probability, and explain why they
might differ
And
I can determine, through investigation the tendency of
experimental probability to approach theoretical probability as the
number of trials in an experiment increases
Statistics
• Statistical information (data collection) can be
used to determine experimental probability.
• This kind of information is used:
– by manufacturers to determine the probability of
a defective product
– to calculate sports-related probabilities
– and probabilities based on public opinion
Example 1
• Aaron participated in an archery contest and out of his
20 shots, he hit the "Bulls-eye" 7 times. Based on these
statistics:
a) What is the chance that Aaron will NOT hit the "Bulls-eye" on
his next shot?
a) In a second contest, Aaron must take 60 shots. How many
bulls-eyes would you expect him to hit?
Example 2
• On a production line, 35 electric can openers were found
to be defective out of the 2000 randomly selected can
openers that were tested.
a) What is the probability that a can opener is defective?
a) What is the probability that you buy 2 defective can openers in
a row?
Example 3
• In a survey of 50 students at St. Benedict, it was found
that 33 were Canadiens fans, 14 were bruins fans and 3
were leafs fans.
a) Calculate the probability of being a fan of each of the
three teams
a) Calculate the probability that 4 people selected at
random will all be leaf fans?
Investigation – Can you pass your test with a
deck of cards?
Trial
Correct Answers
(/10)
Trial
1
11
2
12
3
13
4
14
5
15
6
16
7
17
8
18
9
19
10
20
Correct Answers
(/10)
Homework
• Pg. 365 # 1, 4, 8, 9