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 transcript:

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 is allowed. Find the probability distribution for the number of red tiles selected.

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

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.

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

Binomial Distribution

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?

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