Example_class_5_handout3

Example_class_5_handout3 - THE UNIVERSITY OF HONG KONG...

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Unformatted text preview: THE UNIVERSITY OF HONG KONG DEPARTMENT OF STATISTICS AND ACTUARIAL SCIENCE STAT1301 PROBABILITY AND STATISTICS I EXAMPLE CLASS 5 Review Some common discrete distributions Table of Important Discrete Distributions Name for which ¡ ¢ (¢ £ ) ¤ ¥ ¡ ¢ (¢ £ ) ¤ ¥ for these ¦(¢) §¨©(¢) Description Bernoulli ª« ¬ ­« ® ® ®­ One trial; 1 if success, 0 if failure Binomial ª«¬« ¯ « ° ± ° ² ³ ® ´ ­ µ¶´ °® °®­ Number of success in ° Bernoulli trials Geometric ¬«·«¸« ¯ ­ ´¶¹ ® ¬ ® ­ ® º Number of Bernoulli trials needed to get one success Pascal (Negative Binomial) »« » ¼ ¬« ¯ ± ² ½ ¬ » ½ ¬ ³ ® ¾ ­ ´¶¾ » ® »­ ® º Number of Bernoulli trials needed to get » success Poisson ª«¬«·« ¯ ¿ ´ ²À Á ¶Â ¿ ¿ Approximates binomial for ° large, but ¿ £ °® not large Hypergeometric ÃÄÅ(ª« ° ½ Æ ¼ Ç)È É ² ÉÈ ÃÊË(°« Ç) ± Ç ² ³ ± Æ ½ Ç ° ½ ² ³ ± Æ ° ³ °Ç Æ °(Æ ½ °) Æ ½ ¬ Ç Æ Æ ½ Ç Æ Number of red balls chosen when ° balls are chosen from Æ balls, Ç of which are red Uniform ¬«·« ¯ « °...
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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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Example_class_5_handout3 - THE UNIVERSITY OF HONG KONG...

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