At a new exhibit in the Museum of Science, people are asked to choose between 90 or 120 random draws from a machine. The machine is known to have 93 green balls and 65 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 65% 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 65% green balls. (Round your intermediate proportion values and "z" value to 2 decimal places, and final answer to 4 decimal places.) Probability 90 120 b. Would you choose 90 or 120 draws for the game?

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At a new exhibit in the Museum of Science, people are asked to choose between 90 or 120 random draws from a machine The
machine is known to have 93 green balls and 65 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 65% 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 65% green balls. (Round your intermediate proportion values and "z" value to 2
decimal places, and final answer to 4 decimal places.)
Probability
90
120
b. Would you choose 90 or 120 draws for the game?
O 90 balls
O 120 balls
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Transcribed Image Text:At a new exhibit in the Museum of Science, people are asked to choose between 90 or 120 random draws from a machine The machine is known to have 93 green balls and 65 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 65% 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 65% green balls. (Round your intermediate proportion values and "z" value to 2 decimal places, and final answer to 4 decimal places.) Probability 90 120 b. Would you choose 90 or 120 draws for the game? O 90 balls O 120 balls < Prev 6 of 8 Nem > re to search R P N
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