Conditional Probability: the likelihood that an event will occur GIVEN that another event has...

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Conditional Probability: the likelihood that an event will occur GIVEN that another event has already occurred. A two way table & tree diagrams can represent these types of events. The probability of event B given event A has occurred is represented as P(B|A) Example: P(18 to 24|female) = 5668/9321 ≈ 0.6081

Transcript of Conditional Probability: the likelihood that an event will occur GIVEN that another event has...

Page 1: Conditional Probability: the likelihood that an event will occur GIVEN that another event has already occurred. A two way table & tree diagrams can represent.

Conditional Probability: the likelihood that an event will occur GIVEN that another event has already occurred.

A two way table & tree diagrams can represent these types of events.

The probability of event B given event A has occurred is represented as P(B|A)

Example: P(18 to 24|female) = 5668/9321 ≈ 0.6081

Page 2: Conditional Probability: the likelihood that an event will occur GIVEN that another event has already occurred. A two way table & tree diagrams can represent.

1) What is the probability that a student chosen at random would be 35 years or older?

2) What is the probability that a student chosen at random would be 35 years or older given that they are female?

Page 3: Conditional Probability: the likelihood that an event will occur GIVEN that another event has already occurred. A two way table & tree diagrams can represent.

The intersection of events (events happening together) can be found as follows:

P(A and B ) or P(A ∩ B) = P(A) * P(B|A)

What if you want to determine if two variable events are independent of each

other?Is age

independent of gender?

If P(B) = P(B|A), then the events are independent.

Page 4: Conditional Probability: the likelihood that an event will occur GIVEN that another event has already occurred. A two way table & tree diagrams can represent.

Are online chat rooms dominated by the young adults? Of all adult users...

29% are 18-29 years (A1) 47% are 30 – 49 years (A2)

24% are 50+ years (A3) 47% of the 18-29 years use chat rooms

21% of the 30-49 years use chat rooms 7% of the 50+ years use chat rooms

What percent of adult chat

room users are 18 – 29

years old?

Page 5: Conditional Probability: the likelihood that an event will occur GIVEN that another event has already occurred. A two way table & tree diagrams can represent.

Weekly Practice

Pg 417 #33, 36 Pg 423 #37, 38

Pg 425 #44 Pg 430 #46, 48, 50

Pg 446 # 72 – 74

Pg. 453 # 86

Pg 455 #94


AP Study Session Probability. Independence If knowing that Event A has occurred gives you information about Event B, then Events A & B are not independent.

AP Study Session Probability. Independence If knowing that Event A has occurred gives you information about Event B, then Events A & B are not independent.

Section 5.1 What is Probability? 5.1 / 1. Probability Probability is a numerical measurement of likelihood of an event. The probability of any event is.

Section 5.1 What is Probability? 5.1 / 1. Probability Probability is a numerical measurement of likelihood of an event. The probability of any event is.

Likelihood and Conditional Likelihood Inference for ...dzhang2/paper/cgamm.pdf · Likelihood and Conditional Likelihood Inference for Generalized Additive ... in the model and marginal

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 · Web viewbetween 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability

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Computing the maximum likelihood estimates: concentrated likelihood, EM ... · Computing the maximum likelihood estimates: concentrated likelihood, EM-algorithm Dmitry Pavlyuk The

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Basic concepts of probability. Numerical measure of likelihood that the event (Simple Event / Joint Event / Compound Event) will occur. What is Probability?

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20 9-30P16 · HADRONIC B DECAYS $94, 19-23, 2001, MAXIMUM LIKELIHOOD FIT An 6 parameter, unbinned likelihood fit is performed (fitted quantivies in red). The PDF for event i reads

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