hw5sol_F10

hw5sol_F10 - The Hong Kong University of Science and...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: The Hong Kong University of Science and Technology IS O M 111 - Business statistics Assignment 5 Solution (Problem Sheet 3: #1, #11 & #12) Solutions 1. (a) μ = E( x ) = 19.3 or $19300 E( x 2 ) = 397.8 σ = 2 2 ) ( E μ − x = 5.0309 or $5030.9 (b) x ~ N ( μ , σ 2 /n ) P( x > 20.5) = P( 8 / 0309 . 5 3 . 19 5 . 20 − > z ) = P( z > 1.91) = 0.5 – 0.4719 = 0.0281 11. (a) Let x be the monthly sales of Dark-Man Toothpaste. x ~ N (1000, 150 2 ) P( x > 1100) = P( z > 0.67) = 0.5 – 0.2486 = 0.2514 (b) Let c be the required stock for the monthly demand. Then P( x < c) = 0.95 P( z < 150 1000 c − ) = 0.95 P(0 < z < 150 1000 c − ) = 0.45 150 1000 c − = 1.645 c = 1246.75 (c) Let x i be the sales of the i th month in the next year, i = 1, 2, …, 12 P( ∑ = 12 1 i i x > 12600) = P( x > 1050) where x = ∑ = 12 1 12 1 i i x and is distributed as N (1000, 150 2 /12) Note: Large sam ple is not required because we are sam pling from a norm al population....
View Full Document

This note was uploaded on 01/06/2011 for the course BBA ISOM111 taught by Professor Hu during the Fall '08 term at HKUST.

Page1 / 3

hw5sol_F10 - The Hong Kong University of Science and...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online