STAT 2507A – Week 3 - June 1

STAT 2507A – Week 3 - June 1 -...

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1 STAT 2507A – Week 3 –  June 1  Jerry Situ 4.6 Summery 2009
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Exercise from last week (1) 1) How many different 5 card hands can you get from a deck of 52 card? a) 311,875,200 b) 2,298,950 c) 120 2) Based on past experience of cars coming into a mechanic’s shop,  suppose that the probability of needing new break pads is 10% and the  probability of a needing new rotors is 5%. You know that 1% of cars  that come need both new pads and rotors.  What is the probability of  needing “new pads OR rotors”? a) .15 b) .14 c) .11 2
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Conditional probabilities Occurs when you revise the probability of an event to  reflect information that another event has occurred. Notation: P(A|B), “probability of A given B”. Example: Probability that the sum of two dice equals  5 given that the first die shows a 2?  3
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Conditional probabilities (2) Let A and B be two events in  .  The probability of  event A occurring, given that  B has already occurred  is : 4 0 ) ( , ) ( ) ( ) | ( = B P B P B A P B A P 0 ) ( , ) ( ) ( ) | ( = A P A P B A P A B P Similarly,
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Conditional probabilities (3) Conditional probabilities can be used to calculate   P(A B) by rearranging (called General  multiplication rule): Let A and B be two events in 
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STAT 2507A – Week 3 - June 1 -...

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