lec4.3 - 72 Lecture 7: CHAPTER 4: COMMONLY USED...

Info iconThis preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
72 Lecture 7: CHAPTER 4: COMMONLY USED DISTRIBUTIONS The Binomial Distribution – Cont’d (Section 4.2, page 202) THE BINOMIAL DISTRIBUTION – (discrete) Recall: p(x) = proportion of batches with x S’s (successes) Summary for Binomial Distribution: The Mean and Variance of a Binomial Random Variable Summary: If ) , ( ~ n Bin X , then the mean and variance of X are given by n x ) 1 ( 2 n x If a total of n trials are conducted, and The trials are independent Each trial has the same success probability X is the number of successes in the n trials then X has the binomial distribution with parameters n and , denoted ) , ( ~ n Bin X
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
73 Our first PROOF! Proof: We obtain the mean of the binomial distribution:
Background image of page 2
74 Proof: We obtain the variance of the binomial distribution:
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
75
Background image of page 4
76 Example (revisited): A large industrial firm allows a discount on any invoice that is paid within 30 days. Of all invoices, 10% receive the discount. In a company audit, 12 invoices are sampled at random. (i)
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 6
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 7

lec4.3 - 72 Lecture 7: CHAPTER 4: COMMONLY USED...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online