Find the Variance of X, Var[X], if X follows the GEOMETRIC distribution. 13) P =

Question

Find the Variance of X, Var[X], if X follows the GEOMETRIC distribution. 13) P = 0.125 A) Var[X] = 56 B) Var[X] = squareroot56 C) Var[X] = 8 D) Var[X] = 7 14) Given X-Geometric(0.36, x). Find the probability of X is EXACTLY 2, P[X = 2] = A) 0.2304 B) 0.5904 C) 0.4059 D) 0.7696 In Problems 15 through 20, given the same information as in Problem 1. 15) A football, filled with helium, was kicked on a windless day at Superdome 25 times. The distance in yards, are listed. Key 3 1 1 = 31 2 1 0 0 1 2 2 4 5 5 5 6 6 6 7 7 8 8 9 9 3 1 1 1 2 2 2 3 4 Which of the distribution table should be used to find a 95th Confidence Interval for population mean? Why? A) t-table since samll sample B) binomial-table since large sample C) Z-table since large sample D) poisson-table since small sample 16) Use TI Calculator to find the Point Estimate X =. A) 22 B) 25 C) 27 D)29 17) Find the critical value for 95th percent Confidence Interval for population mean = A) 1.645 B) 1.711 C) 1.960 D) 2.064

Explanation / Answer

13) Variance, Var(X)=(1-p^2)/p=(1-0.125^2)/0.125=7.875~8 (C)

14) P(X=r)=q^x-1*p, Where X is number of trials, p i sprobbaility of success, q=1-p

P(X=2)=0.64^1*0.36=0.2304 (A)

17) C) 1.960

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