Find the percentage of the Standard Normal Distribution that's in this region: - 0.80 < Z < 1.65

a) Make your sketch (and make it a good one):

b) Show the function you used along with the inputs you used, and your answer:

c) State your answer as a probability (in context): d) State your answer as a proportion (in context):

For the following questions (a) - (d) use the population of lengths of adult Puss Caterpillars. Their lengths are normally distributed with a population mean length of 2.9 cm with a population standard deviation of 0.2 cm. Show your work!

a) What percentage of these lengths are between 2.6 and 3.0 cm? Show your answer with the probability/inequality notation. Round your answer off at the fourth decimal place.

b) For your answer to part (a) above, state it in words as a "proportion of the population" and "in context."

c) For your answer to part (a) above, state it in words as a "probability" and "in context."

d) At what percentile is an adult Puss Caterpillar that has a length of 3.1 cm? Make your sketch below and round your answer off at the nearest whole number.