At a new exhibit in the Museum of Science, people are asked to choose between 92 or 166 random draws from a machine. The machine is known to have 88 green balls and 82 red balls. After each draw, the color of the ball is noted and the ball is put back for the next draw. You win a prize if more than 58% of the draws result in a green ball. [You may find it useful to reference the z table.] a. Calculate the probability of getting more than 58% green balls. (Round your intermediate proportion values and "z" value to 2 decimal places, and final answer to 4 decimal places.) Probability 92 166

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At a new exhibit in the Museum of Science, people are asked to choose between 92 or 166 random draws from a machine. The
machine is known to have 88 green balls and 82 red balls. After each draw, the color of the ball is noted and the ball is put back for
the next draw. You win a prize if more than 58% of the draws result in a green ball. [You may find it useful to reference the z table.]
a. Calculate the probability of getting more than 58% green balls. (Round your intermediate proportion values and "z" value to 2
decimal places, and final answer to 4 decimal places.)
n
Probability
92
166
Transcribed Image Text:At a new exhibit in the Museum of Science, people are asked to choose between 92 or 166 random draws from a machine. The machine is known to have 88 green balls and 82 red balls. After each draw, the color of the ball is noted and the ball is put back for the next draw. You win a prize if more than 58% of the draws result in a green ball. [You may find it useful to reference the z table.] a. Calculate the probability of getting more than 58% green balls. (Round your intermediate proportion values and "z" value to 2 decimal places, and final answer to 4 decimal places.) n Probability 92 166
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