Set the number of flips per sample to 30 and adjust the proposed proportion of heads to 0.50. ClickFlipso you have numbers to look at.

The possible sample proportions are multiples of 1/30, such as 0/30, 1/30, 2/30, etc. (from observing 0, 1, 2, etc. heads out of 30 flips). The normal distribution approximates the probability of observing a proportion of 16/30 or higher(16or moreheads) to be 0.4276. (This is calculated asP(x<15.5).)

a.Use the normal distribution to approximatethe probability of observing exactly 16or 17heads.

b.Use your answer to calculate the cumulative probability of observing 18or moreheads.