AMS 103- Midterm Exam Guide - Comprehensive Notes for the exam ( 27 pages long!)
6 Oct 2017
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The binomial distribution describes the probability of obtaining n successes, out of n independent trials, where the probability of succession any trial is p. (a) in notes. Pvn (down exponent) is the probability of observing n successes . (n over n) is the number of ways to distribute the n successes amongst the n trials: in wolfram alpha n choose n . N = number of trials = 10. N = number of successes = 4. P = probability of success on one trial = . 5. Pv4 = (10 choose 4)(0. 5)^4(1-0. 5)^6 ((((b) in notes))) What is the probability of getting at least 8 correct answers? (c) We can use probabilities to determine the expected or mean value. The mean value is given by a sum over all possible outcomes. (d) In our quiz example, there are 11 outcomes: 0,1,2,//,10 correct answers. the expected number of correct answers is the sum over all possible outcomes.
