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4.3 Binomial Distributions
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Red Tiles and Green Tiles in a Row You have 4 red tiles and 3 green tiles. You need to select 4 tiles. Repeated use of a tiles is allowed. Find the probability distribution for the number of red tiles selected.
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Rolling Dice Two dice are rolled five times. What is the probability that doubles occur twice? Find the rest of the probability distribution
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Prime Numbers A random number generator provides a number between 1 and 100. It is used to generate 5 numbers. Calculate the probability distribution for the number of times a prime number is output.
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Binomial Distribution Characteristics Random variable is number of times something happens The scenario entails a success of fail decision. (prime vs not prime, head vs not head, pass vs fail) There are n trials Independent Events
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Binomial Distribution
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Manufacturing The failure rate is 5% in the initial production run of a new computer chip. A quality control inspector selects 30 chips for test. What is the probability that more than two of them are defective? What is the expected number of defective chips?
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Assignment Page 166 #’s 1-3,6-8,10, 12, 14
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