# statistics

posted by
**Shanae**
.

It is known that for a certain firm specializing in manufacturing female T-shirts, the ‘Small’ sizes have a shoulder size of 14 inches or less. If these T-shirt shoulder sizes are normally distributed with a mean of 16 inches and a standard deviation of 2 inches

(i)What proportion of manufactured T-shirt sizes will be ‘Small’?

(ii) In a random sample of 40 T-shirts manufactured by this firm, what is the probability that none will be ‘Small’?

(iii) What size of T-shirt will be greater than 80% of all the sizes produced?