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4.3 Binomial Distributions. 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.

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Presentation on theme: "4.3 Binomial Distributions. 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."— Presentation transcript:

1 4.3 Binomial Distributions

2 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.

3 Rolling Dice Two dice are rolled five times. What is the probability that doubles occur twice? Find the rest of the probability distribution

4 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.

5 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

6 Binomial Distribution

7

8 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?

9 Assignment Page 166 #’s 1-3,6-8,10, 12, 14


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