A lottery-style game at the local fair involves drawing colored balls out of an opaque bag. The bag contains 200 colored balls. The proportion of green balls in the bag is 0.53. To play the game, you are allowed to draw 40 balls from the bag (one at a time) with replacement. If at least 22 of the balls are green you win. Use the normal approximation to the binomial to calculate the probability (w) that a person who plays the game wins. You may find this standard normal table useful. Give your answer as a decimal to 4 decimal places. (Hint)