Question

(1 point) A roulette wheel has 18 red pockets, 18 black pockets, and two green pockets. A gambler enters the Silver Tip Grizzly Casino and decides to play n = 50 games of roulette, betting on that the tiny white ball when land in a red pocket when the spinning roulette wheel comes to a stop. The outcome of each game is represented by xi, where xi = 1 if the white ball lands in a red pocket and xi = 0 if the white ball lands in either a green pocket or black pocket. Complete the various parts of this question. Note: When using z-values in this question, compute to three decimals! (a) What proportion of the n = 50 roulette games do you expect this gambler to win? Enter your answer as a %. Answer = % (enter your answer to two decimals) (b) Compute the standard deviation of the sample proportion, the proportion of the n = 50 games this roulette player would win. (Remember, they are betting on red on each of these games). Answer = (enter your answer to four decimals) (c) What is the chance that this gambler will win between 30% and 60% games of roulette they play? Answer = (use four decimals in your answer) (d) Compute the probability that this gambler will win more than 75% of the roulette games they play. Answer = (use FIVE decimals in your answer) (e) What condition(s) are necessary in order for the probability computations in parts (c) and (d) to be accurate? Check any and all that apply A. n(1 - p) ? 10 B. The number of games is at least 50. C. The outcome of each roulette game is Normally distributed. D. np ? 10 E. The outcome of each roulette game is independent of others. F. The number of games is at least 25. G. The outcome of each roulette game is Binomially distributed.

          (1 point) A roulette wheel has 18 red pockets, 18 black pockets, and two green pockets.

A gambler enters the Silver Tip Grizzly Casino and decides to play n = 50 games of roulette, betting on that the tiny white ball when land in a red pocket when the spinning roulette wheel comes to a stop. The outcome of each game is represented by xi, where xi = 1 if the white ball lands in a red pocket and xi = 0 if the white ball lands in either a green pocket or black pocket.

Complete the various parts of this question.

Note: When using z-values in this question, compute to three decimals!

(a) What proportion of the n = 50 roulette games do you expect this gambler to win? Enter your answer as a %.

Answer = % (enter your answer to two decimals)

(b) Compute the standard deviation of the sample proportion, the proportion of the n = 50 games this roulette player would win. (Remember, they are betting on red on each of these games).

Answer = (enter your answer to four decimals)

(c) What is the chance that this gambler will win between 30% and 60% games of roulette they play?

Answer = (use four decimals in your answer)

(d) Compute the probability that this gambler will win more than 75% of the roulette games they play.

Answer = (use FIVE decimals in your answer)

(e) What condition(s) are necessary in order for the probability computations in parts (c) and (d) to be accurate? Check any and all that apply

A. n(1 - p) ? 10
B. The number of games is at least 50.
C. The outcome of each roulette game is Normally distributed.
D. np ? 10
E. The outcome of each roulette game is independent of others.
F. The number of games is at least 25.
G. The outcome of each roulette game is Binomially distributed.

(1 point) A roulette wheel has 18 red pockets, 18 black pockets, and two green pockets.

A gambler enters the Silver Tip Grizzly Casino and decides to play n = 50 games of roulette, betting on that the tiny white ball when land in a red pocket when the spinning roulette wheel comes to a stop. The outcome of each game is represented by xi, where xi = 1 if the white ball lands in a red pocket and xi = 0 if the white ball lands in either a green pocket or black pocket.

Complete the various parts of this question.

Note: When using z-values in this question, compute to three decimals!

(a) What proportion of the n = 50 roulette games do you expect this gambler to win? Enter your answer as a %.

Answer = % (enter your answer to two decimals)

(b) Compute the standard deviation of the sample proportion, the proportion of the n = 50 games this roulette player would win. (Remember, they are betting on red on each of these games).

Answer = (enter your answer to four decimals)

(c) What is the chance that this gambler will win between 30% and 60% games of roulette they play?

Answer = (use four decimals in your answer)

(d) Compute the probability that this gambler will win more than 75% of the roulette games they play.

Answer = (use FIVE decimals in your answer)

(e) What condition(s) are necessary in order for the probability computations in parts (c) and (d) to be accurate? Check any and all that apply

A. n(1 - p) ? 10
B. The number of games is at least 50.
C. The outcome of each roulette game is Normally distributed.
D. np ? 10
E. The outcome of each roulette game is independent of others.
F. The number of games is at least 25.
G. The outcome of each roulette game is Binomially distributed.

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