MAT 121 Lecture Notes - Lecture 9: Multiple Choice, Binomial Distribution

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Flip a coin 8 times and count the number of times the coin lands on heads. Does this experiment have a binomial probability distribution? n= 8. Independent (each flip does not effect the others) 2 results- success or failure p= . 5 (probability of getting heads) Multiple choice quiz has 7 questions each with 5 responses. Independent (each guess does not affect the others) 2 results- correct or wrong p= . 2 or 1/5 (probability of getting a correct answer on each guess) The last 5 questions have 3 possible answers. Binomial conditions are not satisfied because the probability of success is not the same. n=7. Mat 121: elementary statistics and probability- lecture 9: binomial distribution. Binomial probability distribution: binomial probability distribution, 4 requirements, "n" trials repeated, independent, two possible outcomes, probability of success (denoted by p", probability of failure, q= 1-p. Suppose a treatment is successful 90% of the time. This treatment is used in 14 randomly selected patients.

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