Chapters
0 ≤ p(A) ≤ 1
p(S) = 1
Probability Formula
Addition Rule
If A B ≠ .
p(A ∪ B) = p(A) + p(B) − p(A B)
p(A ∪ B ∪ C) = p(A) + p(B) + p(C) − p(A B) − p(A C) − p(B C) + p(A B C)
Multiplication Rule
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Independent Events
p(A B) = p(A) · p(B)
Dependent Events
p(A B) = p(A) · p(B|A)
Conditional Probability
Independent Events
p(A|B) = p(A)
Dependent Events
p(A|B) ≠ p(A)
Law of Total Probability
p(B) = p(A1) · p(B|A1) + p(A2) · p(B|A2 ) + ... + p(An) · p(B|An )
Bayes' Theorem
Expected Value
Variance of a Discrete Random Variable
Standard Deviation of a Discrete Random Variable
Binomial Distribution
Normal Approximation to the Binomial
Using facebook account,conduct a survey on the number of sport related activities your friends are involvedin.construct a probability distribution andbcompute the mean variance and standard deviation.indicate the number of your friends you surveyed
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I’m a junior high school,500 students were randomly selected.240 liked ice cream,200 liked milk tea and 180 liked both ice cream and milktea
A box of Ping pong balls has many different colors in it. There is a 22% chance of getting a blue colored ball. What is the probability that exactly 6 balls are blue out of 15?
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A box of Ping pong balls has many different colors in it. There is a 22% chance of getting a blue colored ball. What is the probability that exactly 6 balls are blue out of 15?
ere is a 60% chance that a final years student would throw a party before leaving school ,taken over 50 student from a total of 150 .calculate for the mean and the variance
There are 4 white balls and 30 blue balls in the basket. If you draw 7 balls from the basket without replacement, what is the probability that exactly 4 of the balls are white?