A researcher has a colony of bongo spiders in his lab. There are 1200 adult spiders in the

colony, and their weights, X, are normally distributed with a mean of 13 grams and a standard

deviation of 1.5 grams.

(a) Sketch a normal curve and label the axis using the mean and standard deviation.

Be sure to label one, two, and three standard deviations on either side of the mean.

(b) Find and interpret P(10 X 17.5)

(c) Find and interpret P(X < 11.5)

(d) Approximately 95% of all the spider weights would occur between what two weight values?

(e) What is the probability that the Z-score for this data is greater than 1.54?