MTH 240-41H Homework: Homework 8.1 Save Score: 0.36 of 1 pt Hw Score: 72.29%, 9.

Question

MTH 240-41H Homework: Homework 8.1 Save Score: 0.36 of 1 pt Hw Score: 72.29%, 9.4 of 13 pts %) 8.1.33 a wheel consists of 38 slots numbered o, 00, 1,2.,,36. To play the game, a metal ball is spun around the wheel and is allowed to fall into one of the numbered slots. If the number of the slot the ball falls into matches the number you selected, you win $35, othenwise you lose $1. Complete below (b) Determine .-005 -5.76 (e) Suppose that you play the game 60 times so that n 60. Describe the sampling distribution of x, the mean amount won per game , =-0.05 074 (d) What is the probability of being ahead after playing the game 60 times? That is, what is the probability that the sample mean is greater than 0 for n 607 P(x o)-0.4721 (Type an integer or decimal rounded to four decimal places as needed.) (e) What is the probability of being ahead after playing the game 180 times? Type an Clear All xerciset11) 10

Explanation / Answer

E(Xbar) = E(X) = -0.05

sd(Xbar) = sd(X) /sqrt(n)

when n = 180

sD(Xbar) =5.76/sqrt(180) = 0.429325

P(Xbar > 0)

=

P (Z>0.12)=0.4522

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