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

a) What proportion of 1 year old fish from the lake are shorter than 10cm ?

b) If you randomly catch a 1 year old fish from the lake what is the probability it will be between 10 cm and 18 cm in length? 

c) To the nearest cm, what is the IQR of the lengths of 1 year old cod from the lake?

d) Suppose the lengths were measured in inches rather than cm. Find the population means and standard deviations in inches? 

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

f) 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 fish length distribution (in cm).