Example_class_2_slides

2 what is the probability that there are exactly k

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Unformatted text preview: DE ) − P (AB ∩ ACE ) − P (AB ∩ DCB ) −P (DE ∩ ACE ) − P (DE ∩ DCB ) − P (ACE ∩ DCB ) +P (AB ∩ DE ∩ ACE ) + P (AB ∩ DE ∩ DCB ) +P (AB ∩ ACE ∩ DCB ) + P (DE ∩ ACE ∩ DCB ) −P (AB ∩ DE ∩ ACE ∩ DCB ) = p2 + p2 + p3 + p3 − p4 − p4 − p4 − p4 − p4 − p5 + p5 +p 5 + p 5 + p 5 − p 5 = 2p 2 + 2p 3 − 5p 4 + 2p 5 Chan Chi Ho, Chan Tsz Hin & Shi Yun Example class 2 Problem 6 Problem 6 (Challenging! Based on the setting of Example 1.22 (lecture notes of STAT1301B)). A secretary types n letters and addresses them into n envelopes. If he inserts the letters at random, one in each envelope, 1 what is the probability that none of the letters will go into the correct envelopes? 2 what is the probability that there are exactly k letters going into the correct envelopes? Chan Chi Ho, Chan Tsz Hin & Shi Yun Example class 2 Solution to Problem 6 1 Let Ei be the event that i th letter going into the correct envelope. Then n the desired probability is 1...
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This note was uploaded on 01/16/2012 for the course STAT 1301 taught by Professor Smslee during the Fall '08 term at HKU.

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