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BELL-WORKBELL-WORKSimplify
(a) 5x + 15
5x – 15
(b) -4x3 .
x3 – 2x4
(c) x2 + 4x – 5
1 – x
(d) 4 ∙ 3 .
5a 2a2
HW 4.3(b) SolutionsHW 4.3(b) Solutions8. 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
ProbabilityProbability 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) ≤ 1P(Event) = 0 :
event impossibleP(Event) = 1 :
event certain
ProbabilityTotal probability is 1.
P(Event) + P(Event not occurring) =
1
P(Event not occurring) =
1 – P(Event)
P(Event) =
1 – P(Event not occurring)
ProbabilityThree types of probability:
Theoretical: Probability in theory/perfect worldP(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 ProbabilityIn 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