GE261_project_2_2012 - Read-Only - Compatibility Mode - Saved to my Mac Home Insert Draw Design Layout References Mailings Review View Tell me Comments A A Aa PA T Paste B I A DAV AaBbCcDdE Normal AaBbCcDdE No Spacing AaBbCcD Heading 1 AaBbCcDdE AaBb > Heading 2 Title Styles Pane Dictate AutoSave > Read Only To save a copy of this document, click Duplicate. STATISTICS GE 261 Project #2 A packing machine is set to fill a cardboard box with a mean of 16.1 ounces of cereal. The standard deviation for this machine is 0.04 ounce. The distribution is normal. (Note: 16 ounces = 1 pound) 1. A. What percent of the boxes ends up with less than pound of cereal? Page 1 of 3 238 words English (United States) B. What percent of the boxes ends up with at least 1 pound of cereal? BD Viewing Add-ins E Editor Share Focus L Duplicate I + 130% GE261_project_2_2012 - Read-Only - Compatibility Mode - Saved to my Mac Home Insert Draw Design Layout References Mailings Review View Tell me Comments A A Aa PA T AaBbCcDdE AaBbCcDdE AaBbCcD AaBbCcDdE AaBb > Paste B I A A Normal No Spacing Heading 1 Heading 2 Title Styles Pane Dictate AutoSave > Read Only To save a copy of this document, click Duplicate. C. What percent of the boxes ends up with between 16.15 and 16.2 ounces? Page 1 of 3 238 words English (United States) 2. Consider the following probability function P(x) = x/ 15 for x =1, 2, 3, 4, or 5. a. Form the probability distribution table. b. Find [XP(x)] and [xP(x)]. Focus BD Viewing Add-ins E Editor Share L Duplicate T 150% GE261_project_2_2012 - Read-Only - Compatibility Mode - Saved to my Mac Home Insert Draw Design Layout References Mailings Review View Tell me Comments A A Aa PA T Paste B I A DAV AaBbCcDdE Normal AaBbCcDdE No Spacing AaBbCcD Heading 1 AaBbCcDdE AaBb > Heading 2 Title Styles Pane Dictate AutoSave > Read Only To save a copy of this document, click Duplicate. Page 2 of 3 238 words English (United States) c. Find the mean of the probability distribution. d. Find the variance of the probability distribution. e. Find the standard deviation of the probability distribution. Focus BD Viewing Add-ins E Editor Share I Duplicate + 130% GE261_project_2_2012 - Read-Only - Compatibility Mode - Saved to my Mac Home Insert Draw Design Layout References Mailings Review View Tell me Comments A A Aa PA T Paste B I A DAV AaBbCcDdE Normal AaBbCcDdE No Spacing AaBbCcD Heading 1 AaBbCcDdE AaBb > Heading 2 Title Styles Pane Dictate AutoSave > Read Only To save a copy of this document, click Duplicate. Page 3 of 3 238 words English (United States) 3. It is believed that 60% of married couples with children agree on methods of disciplining their children. Assume that a survey of 250 married couples is conducted. a. Explain why the normal approximation to the binomial distribution is reasonable. b. Find the mean and standard deviation of the normal distribution that is used in the approximation. c. What is the probability we would find exactly 135 couples who agree? d. What is the probability we would find fewer than 135 couples who agree? e. What is the probability we would find more than 135 couples who agree? Focus BD Viewing Add-ins E Editor Share L Duplicate T 150%