Question

At a new exhibit in the Museum of Science, people are asked to choose between 70 or 120 random draws from a machine. The machine is known to have 93 green balls and 78 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 63% 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 63% green balls. (Round your intermediate proportion values and “z” value to 2 decimal places, and final answer to 4 decimal places.)

n	Probability
70
120

b. Would you choose 70 or 120 draws for the game?

Answer 1

70
120