A Trouser Manufacturer Has an Order for 800,000 Men's Trousers

Multiple Choice

A trouser manufacturer has an order for 800,000 men's trousers in a normal distribution of waist sizes 28, 30, 32, 34, 36, 38, 40, 42, and 44 with a mean of 34 and a sample standard deviation of 1.8. Find the number of trousers to be made of each waist size.

A) 568,000 trousers of size 34; 168,000 of sizes 32 and 36; 33,600 of sizes 30 and 38; 30,400 of sizes 28, 40, 42 and 44
B) 544,000 trousers of size 34; 216,000 of sizes 32 and 36; 37,600 of sizes 30 and 38; 2,400 of sizes 28, 40, 42 and 44
C) 512,000 trousers of size 34; 248,000 of sizes 32 and 36; 35,200 of sizes 30 and 38; 4,800 of sizes 28, 40, 42 and 44
D) 600,000 trousers of size 34; 136,000 of sizes 32 and 36; 51,200 of sizes 30 and 38; 12,800 of sizes 28, 40, 42 and 44
E) 440,000 trousers of size 34; 280,000 of sizes 32 and 36; 42,400 of sizes 30 and 38; 37,600 of sizes 28, 40, 42 and 44