At a new exhibit in the Museum of Science, people are asked to choose between 75

Question

At a new exhibit in the Museum of Science, people are asked to choose between 75 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 60% of the draws result in a green ball. Use Table 1.

Calculate the probability of getting more than 60% green balls.(Round intermediate calculations to 4 decimal places, “z” value to 2 decimal places, and final answer to 4 decimal places.)

At a new exhibit in the Museum of Science, people are asked to choose between 75 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 60% of the draws result in a green ball. Use Table 1.

Explanation / Answer

a) when n=75, probability is .0828

when n=166, probability is 0.0196

b) as the success probability of n=75 is hih s owe choose n=75

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