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Advanced Math Topics 6.6 The Mean and Standard Deviation of the Binomial Distribution.

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Presentation on theme: "Advanced Math Topics 6.6 The Mean and Standard Deviation of the Binomial Distribution."— Presentation transcript:

1 Advanced Math Topics 6.6 The Mean and Standard Deviation of the Binomial Distribution

2 The formula for the mean of a binomial distribution, where n = the number of trials and p = p(success) is… μ = np A retail clothes store generally gets a return of 8% of its merchandise. If the store sells 100,000 items this month, about how many items will be returned? (find the mean? μ = np μ = (100,000)(.08) μ = 8,000 Approximately 8,000 items will be returned.

3 The formula for the variance and standard deviation of a binomial distribution, where n = the number of trials, p = p(success), and q = p(failure) is… σ 2 = npq A retail clothes store generally gets a return of 8% of its merchandise. Last month it sold 100,000 items. Find the standard deviation. σ =√npq σ =√npq σ =√(100,000)(.08)(.92) σ =√7,360 σ = 85.79 The standard deviation is 85.79.

4 From the HW P. 330 1)A meat packing company found that 38% of its packages weigh at least 2 ounces less than what was listed on the package. If 600 packages were sold to a local supermarket, how many can be expected to weigh at least 2 ounces less than its stated weight? Find the standard deviation. 228 and 11.889 B.O.B. is wrong for #1 in some books

5 HW P. 330 #1-12

6 Anyone can get a staph infection. People are more likely to get one if they have: Skin-to-skin contact with someone who has a staph infection Contact with items and surfaces that have staph on them Openings in their skin such as cuts and scrapes Crowded living conditions Poor hygiene The incidence of staph infections can be greatly decreased by practicing good hygiene and taking the following measures: Wash your hands often and use an alcohol-based hand sanitizer Keep all cuts, scrapes and wounds clean and covered with bandages Do not touch other people’s cuts or bandages Do not share personal items such as towels, razors, body jewelry, deodorant or soap that directly touch the body Encourage students who participates in contact sports to shower and wash up immediately after each game or practice Wash dirty clothes, linens, and towels in hot water and laundry detergent. Use a hot dryer instead of air drying because the heat also helps kill bacteria Maintain a clean environment and establish cleaning procedures for frequently touched surfaces that come into direct contact with people’s skin I love you-cox happy bday


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