BELL-WORK
Simplify
(a) 5x + 15
5x – 15
(b)
-4x3 .
x3 – 2x4
(c) x2 + 4x – 5
1–x
(d) 4 ∙ 3 .
5a 2a2
BELL-WORK
Simplify
(e) q + 5 ∙ 4q .
2 q+4
(f) x2 – 16 .∙ 7x
6x
x+4
CW Review
Exam 4.1
Exam will be on Monday!
Missing Class tomorrow?
HW 4.3(c)
Due tomorrow:
PW 12-7 #1-11, 19-26
HW 4.3(b) Solutions
8. PLOT; Min = 42, Q1 = 77.5, Q2 = 98, Q3 = 184.5,
Max = 220
11. PLOT; Min = 20, Q1 = 24.75, Q2 = 32.5, Q3 = 45,
Max = 50
13.
(a) 50%
(b) 75%
(c) 6th period
(d) 1st IR = 16, 6th IR = 16
Guiding question:
What are three types of probability?
Probability
Probability is the likelihood of a particular event
happening.
Event: the outcome/result we are interested in.
We write probability of an event as:
P(Event)
0≤ P(Event) ≤ 1
P(Event) = 0 :
event impossible
P(Event) = 1 :
event certain
Probability
Total probability is 1.
P(Event) + P(Event not occurring) =
1
P(Event not occurring) =
1 – P(Event)
P(Event) =
1 – P(Event not occurring)
Probability
Three types of probability:
Theoretical: Probability in theory/perfect world
P(Event) = # of times event occurs
total number of outcomes
Experimental: Probability based on an actual experiment.
P(Event) = # of times event occurs
# of times experiment is done
Subjective: Probability based on experience, opinion, or
intuition.
Theoretical Probability
A dartboard has 12 equally sized sections numbered from 1 to 12.
a. What is the probability of throwing a dart that lands on an
odd number?
b. What is the probability of throwing a dart that lands on a
multiple of 3?
c. What is the probability of throwing a dart that lands on a
number that is not a multiple of 3?
TB pg 760 # 1-4, 10-21
Experimental Probability
In a survey on favorite pets 28 people chose dogs as their favorite
pet, 15 chose cats, 4 chose birds, and 3 chose fish. If a
survey participant is chosen at random, what is the
probability that he or she prefers dogs as a pet?
TB pg 759 Got It? 4
A quality control worker samples 500 LCD monitors and finds
cosmetic defects in 3 of them. If the company manufactures a run
of 12,000 monitors, how many of them would you expect to have
a cosmetic defect?
TB pg 760 Got It? 5
TB pg 761 # 28-32
Probability
Identify the method of calculating probability that resulted in the
following statements:
(a) I’m 100% certain that you’ll be happy with this car.
Subjective probability
(b) Sean flipped a coin 100 times and got 42 heads. He
concludes that the probability of getting heads on a flip of
his coin is 0.42.
Experimental probability
(c) Based on data from the Department of Transportation, the
chance of dying in an automobile accident is 1 in 7000 (per
year).
Experimental probability
(d) The chance of rolling a 7 with a 12-sided die is 1/12.
Theoretical probability
Probability
Identify the method of calculating probability that resulted in the
following statements:
(e) Jeanne rolled a die 100 times and 12 of those times got a 6.
She concludes that the probability of getting 6 on a roll of
her die is 0.12.
Experimental probability
(f) Li noted that there are six possible outcomes when you roll a
die and 6 is one of those outcomes. He concluded that the
probability of getting 6 on a roll of his die is 1/6.
Theoretical probability
(g) Chantal noted that there are two possible outcomes when
you flip a coin and heads is one of those outcomes. She
concluded that the probability of getting heads on a flip of
her coin is ½ or 0.5
Theoretical probability
Probability
Identify the method of calculating probability that
resulted in the following statements:
(h) Roger conducted a survey in his math class and
found that 15% of the students are international
students. He concluded that the probability of a
student in his math class being an international
student is 0.15.
Experimental probability
If there are 35 students in the class, how many of
them are international?
5 students
Who wants to answer the Guiding question?
What are three types of probability?
Quiz 4.2
Do corrections for HW!!!!!
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