Be humble in our attribute, be loving and varying in our attitude, that is the way to live in heaven. . Probability. Sample space/event Independence Bayes rule. This lady has lost 10 games in a row on this slot machine. Would you play this slot machine or another one?. Random Circumstance.
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Be humble in our attribute, be loving and varying in our attitude, that is the way to live in heaven.
This lady has lost 10 games in a row on this slot machine. Would you play this slot machine or another one?
** Based on a representative sample of 200 graduates, 150, 30, 20 of them got hired in 3, 3-6, and > 6 months, respectively.
** what are the random circumstances of the examples?
** what are the sample space/simple event/event of the examples?
** examples of probability of an “equally likely” simple event
** Revisit the examples and find the events & their probabilities
** get hired in 3 months or not
** traffic jam or not
** heads or tails
Q: Are an event and its complement mutually exclusive?
** event A = age 21+; event B = female
** Ask students for age and find P(B|A)
** P(B|A) = P(A and B)/P(A)
** P(A and B) for disjoint events and for independent events
P(A1 and A2 … and Ak) = P(A1)P(A2)…P(Ak)
Suppose college roommates have a particularly hard time getting along with each other if they are both “Rationalists.”
A college randomly assigns roommates of the same sex.
What proportion of male roommate pairs will have this problem?
What proportion of female roommate pairs will have this problem?
Assuming that half of college roommate pairs are male and half are female.
What proportion of all roommate pairs will have this problem?
A psychologist has noticed that “Teachers” and “Rationalists” get along particularly well with each other, and she thinks they tend to marry each other. One of her colleagues disagrees and thinks that the “types” of spouses are independent of each other.