2.

(a). Draw z curves for the following z values and use the z-table to find the following probabilities.

(i). P(z )

(ii). P( z 2.25)

(iii).P(-1 z 2.25)

(b).If the arrival time (in days) for Blackpoll Warblers at Manomet Center for Conservation Science follows a normal distribution with a mean and standard deviation.

(i). Use the 68-95-99.7 Rule to calculate the percentage of the data that falls within one, two and three standard deviations of the mean.

(ii).Sketch a normal curve to represent the percentages calculated in (i) above.