Mean of a Grouped Distribution The mean of a distribution, where x represents the midpoints, f the frequencies, and n = ∑f , is = Example Listed below…
Month: August 2014
Mean
Mean The mean of the n numbers x1, x2……..xn is Example Let x1 = 1179, x2 = 1404, x3 = 1443,x4 = 1319 x5 = 1253 and x6 = 1492.…
Expected Value For Binomial Probability
Expected Value For Binomial Probability For binomial probability, E(x) = np. In other words, the expected number of successes is the number of trials times the probability of success…
Random Variable & Expected Value
Random Variable A random variable is a function that assigns a real number to each outcome of an experiment. Expected Value Suppose the random variable x can take…
Binomial Experiment & Binomial Probability
Binomial Experiment a. The same experiment is repeated several times. b. There are only two possible outcomes, success and failure. c. The repeated trials are independent, so that…
Combinations
Combinations If denotes the number of combinations of n elements takes r at a time, where r ≤ n, then =
Permutations
Permutations If P(n,r) (where r ≤ n) is the number of permutations of n elements takes r at a time, them P(n,r) =
Factorial Notation
Factorial Notation For any natural number n, n! = n(n – 1)(n – 2)…………(3)(2)(1). Also, 0! = 1.
Multiplication Principle
Multiplication Principle Suppose n choices must be made, with m1 ways to make choice 1, and for each of these ways, m2 ways to make choice 2, and so…
Bayes Theorem (Special Case)
Bayes Theorem (Special Case) P(F│E) = . Using Bayes’ Theorem a. Start a tree diagram with branches representing F1,F2,………….Fn. Label each branch with its corresponding probability. b. From the end of…
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