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Thurs January 9 Bell Work: Turn in Take-Home Quiz Notes – Section 5.3 Additional Properties of Binomial Distribution Homework due Friday: A#5.31 pages.

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Presentation on theme: "Thurs January 9 Bell Work: Turn in Take-Home Quiz Notes – Section 5.3 Additional Properties of Binomial Distribution Homework due Friday: A#5.31 pages."— Presentation transcript:

1 Thurs January 9 Bell Work: Turn in Take-Home Quiz Notes – Section 5.3 Additional Properties of Binomial Distribution Homework due Friday: A#5.31 pages 203 – 206 #s: 1, 4, 6

2 After this section, you will be able to: 1. Make histograms for binomial distributions; 2. Compute µ and σ for a binomial distribution; 3. Compute the minimum number of trials n needed to achieve a given probability of success P(r).

3 Over the past several chapters, we have explored actual collects of real data, focusing on: 1.The measure of ____________ 2.The measure of ____________ 3.The nature of the ______________ 4.The presence of _______________ 5.A ______________ over time. In this chapter, we are focusing on what will _______________ happen. We learned methods for analyzing probability distributions including ________, ____________________, and a probability ___________________. We then looked at a special probability distribution called a _______________.

4 A binomial distribution tells us the probability of ________________________: 1.Place __________ on the horizontal axis. 2.Place __________ on the vertical axis. 3.Construct a bar over each ________ extending from __________ to _____________. The height of the corresponding bar is ________.

5 A waiter at the Green Spot Restaurant has learned from long experience that the probability that a lone diner will leave a tip is only 0.7. During one lunch hour, the waiter serves six people who are dining by themselves. Make a graph of the binomial probability distribution that shows the probabilities that 0, 1, 2, 3, 4, 5, or all 6 lone diners leave tips.

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7 Jim enjoys playing basketball. He figures that he makes about 50% of the field goals he attempts during a game. Make a histogram showing the probability that Jim will make 0, 1, 2, 3, 4, 5, or 6 shots out of six attempted field goals.

8 The mean µ of a distribution is also called the _________________. The standard deviation σ of a distribution is also called the ____________________________.

9 For Any Discrete Probability Distribution For Binomial Distributions

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11 Wednesday January 22 Continue Notes – Section 5.3 Additional Properties of Binomial Distribution Homework due Thursday: A#5.31 pages 203 – 206 #s: 8 and 13

12 Previously, we considered a problem involving a preliminary trial with 14 couples who wanted to have baby girls. The result was 13 girls in 14 births. How much confidence do you have that the MicroSort method of gender selection is effective? Now assume the sample size includes 100 couples, each of whom will have 1 baby. Also assume that the result is 68 girls among the 100 babies. a.Assuming the MicroSort gender selection has no effect, find the mean and standard deviation for the numbers of girls in groups of 100 randomly selected babies. b.Interpret the values from part (a) to determine whether this result (68 girls among 100 babies) supports a claim that the MicroSort method of gender selection is effective.

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14 For a binomial distribution, it is unusual for the number of successes r to be higher than ________________________ or lower than _______________________.

15 Sales Non-profit quotas – volunteers/donations Medical ScienceQuality ControlRisk Management Traffic ticket quotas

16 Suppose you are purchasing junk bonds and consider only companies with a 35% estimate risk of default and your financial investment goal requires four bonds to be “good” bonds in the sense that they will not default before a certain date. Assume the other bonds in your investment group can default or not without harming your investment plan. Suppose you want to be 95% certain of meeting your goal (quota) of at least four good bonds. How many junk bond issues should you buy to meet this goal? What are junk bonds???

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21 Pages 203 - 206 #s: 8 and 13


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