The Binomial Distribution

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Presentation transcript:

The Binomial Distribution Bernoulli Process Repeated, independent trials Two outcomes: “Success” and “Failure” Invariant probability of success:  The random variable is the number of successes in n trials

The binomial formula for the probability of x successes in n trials: EXAMPLE: Find the probability of 4 successes in 12 trials if  = 0.32.

Example: 12% of the switches in a large shipment are defective Example: 12% of the switches in a large shipment are defective. In a sample of 15 switches, what is the probability that Exactly three are defective At least two are defective Example: 20% of the memory chips in a production run are defective. In a sample of 16 chips, what is the probability that Exactly four are defective Five or more are defective

The Binomial Tables Page 887 and ff. Table A1: individual values Table A2: cumulative values, P(x  k)