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# Probability

In the game of roulette, a wheel consists of 38 slots numbered 0, 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; othen Nise you lose \$1. Complete parts (a) through (9) below. The sample mean i is approximately normal. V What are the mean and standard deviation of the sampling distribution of it? Round your results to the nearest penny. “i = – .05c- = 0.74X (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 = 50′? Pp? > 0) = 0.4721(Type an integer or decimal rounded to four decimal places as needed.) (a) What is the probability of being ahead after playing the game 180 times? Po? > 0) =(Type an integer or decimal rounded to four decimal places as needed.)

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