Let E- b - E- n"! n"! /i=0 rt=0 x cos x sin x fix) = : x sin x a. Find limA^o/(x). b. Use four-digit rounding arithmetic to evaluate /(0.1). c. Replace each trigonometric function with its third Maclaurin polynomial and repeat part (b). d. The actual value is /(0.1) = 1.99899998. Find the relative error for the values obtained in parts (b) and (c).

10/26 The mean (expected value) of the probability distribution of a random variable x is The variance of the probability distribution of a random variable x is And the standard deviation is Player bets $1 on red in roulette. Let x = his net winnings. The Binomial Distributions An experiment has two outcomes, SUCCESS and FAILURE (we will count the SUCCESSES), Each time this experiment is performed, P(SUCCESS) = P, P(FAILURE) = 1- P = q. Do this n times and let x = # of SUCCESSES Arandom variable x is deﬁned ion this way is said to have a binomial distribution with parameters n and P. The possible values of x are 0,1,2,…..,n Notation: Whenever there are p and q m a stats problem, p+q = 1 q = 1 - P p + q = 1 p1 + q = 1 10/28