The length of 1 year old cod from the Scotian Shelf has a distribution that is approximately normal with a mean of 16 cm and a standard deviation of 6 cm.

1) What proportion of 1 year old cod from the Scotian Shelf are shorter than 10cm .

2) If you randomly catch a 1 year old cod from the Scotian Shelf what is the probability it will be between 10 cm and 18 cm in length?

3) To the nearest cm, what is the IQR of the lengths of 1 year old cod from the Scotian Shelf?

4) Suppose the lengths were measured in inches rather than cm. Find the population means and standard deviations in inches? Hint: 1 inch equals 2.54 cm.

5)To the nearest cm, what is the length of the range in which the middle 95% of 1 year old cod from the Scotian Shelf lie?

6)The upper and lower deciles are the points that mark out the highest 10% and lowest 10% of the population. Find the upper and lower deciles for the cod length distribution (in cm).