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Binomial Distribution

Binomial Distribution. Many companies view their individual outcomes as successes or failures. Repeated independent trials measured in terms of such successes or failures are Bernoulli trials.

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Binomial Distribution

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  1. Binomial Distribution

  2. Many companies view their individual outcomes as successes or failures. Repeated independent trials measured in terms of such successes or failures are Bernoulli trials. If all trials are independent and have only two possible outcomes, success or failure (only two choices) the probability of success is the same for every trial. The outcome of one trial does not affect the outcome of another.

  3. A manufacturer says that one in 6 TVs is within 0.3% of its normal level. A customer needs three of these TVs. What is the probability of finding exactly three TVs among the first 5 TVs tested? The prob of x successes in n Bernoulli trials is P(x) = nCxpxqn-x, where p is the prob of success on any individual trial and q = 1-p is the probability of failure. The expectation for a success in any one trial is p. The expectation for n independent trials is E(x) = np

  4. Expectation in a Binomial Distribution New license plates have four letters and three numbers. Being a math teacher, I only wanted to have numbers that were comprised of prime numbers. What is the prob. distribution of these numbers in my license plate?

  5. Remember that we are looking for the distribution, so we need to account for all cases. Ie. If only 1 prime #, 2 prime #s, no prime #s, etc.. Heading Number of primes (x) Probability P(x) 0 On Board! 1 2 3 4

  6. A box of Smarties has different colours of candy in it. There is a 40% chance of getting a blue Smartie. What is the probability that at least 3 candies in a given box are blue out of 10? On Board! What is the expected number of blue candies? On Board! Homework pg 385 # 1abc, 2a, 3, 5, 8a

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