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# HW#5 - f(x = 1/12 3.2 4.2 4.0 H ADM 2201 Homework V Fall...

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f(x) = 1/12 4.0 4.2 3.2 H ADM 2201: Homework V Fall Semester 2009 Due Friday, Oct 16, by 2:00 pm Solutions to instructor generated questions must be handed in via hard copy to Linda Stoker in 335 Statler Hall. Name (Print CLEARLY):____________Danielle Martinez __ ___________ Signature: _________________________________________________________ This cover page must be stapled to the homework you turn in. It is the front page of your homework. Make sure to fill out the information requested above. GRADING SHEET SOURCE MAXIMUM SCORE SCORE EARNED Aplia 15 Instructor 35 Total 50

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Note: Aplia has 4 questions for this homework; be sure they are completed by 2:00 pm on Friday, October 16, when these questions are due. Note that some information on obtaining probabilities from the t-distribution appears as a new page under the “Excel Help in Probability” under Course Documents. Question 1. The new Taverna Banfi in Statler Hotel has a revised menu, and one of its new appetizers is Fried Calamari. The food prep folks preparing the appetizers do so in a way that the total weight of calamari in an appetizer is equally likely to be any value between 3.2 and 4.2 ounces, and that the portions of calamari are prepared independently. A) Let X = the weight of a randomly selected portion of fried calamari. Give the probability distribution of X, including parameters. Defend your choice in one sentence. The probably distribution of X is Uniform Distribution, denoted by X~U(3.2,4.2),because the weight of each portion of calamari is independent from the next and is equally likely to occur. The parameter is μ , the average weight of calamari served in an appetizer. B) What is the mean and variance of X (including units)? = + Meanμ a b2 = . + . Meanμ 3 2 4 22 = . Meanμ 3 7 ounces ( )=( - ) Variance σ2 b a 212 )=( . - . ) 4 2 3 2 212 = . Varianceσ2 0 08333 ounces squared The mean, , μ of X is 3.7 ounces and the variance is 0.5 ounces squared C) What is the probability a portion of calamari weighs more than 4.0 ounces? > = * PY 4 w h > =( . - . )* 4 2 4 0 1 . 0 2 D) Betsy and Josh go out on a date to the Taverna Banfi, and both order fried calamari as an appetizer. What is the probability Josh’s portion weighs more than 4.0 ounces, given that Betsy’s portion does in fact weigh more than 4.0 ounces? Defend your answer in one sentence.
The probably that Josh’s portion weighs more than 4.0 ounces is 0.2 and the probably that Betsy’s portion weighs more than 4.0 ounces is also 0.2. The reason that they are the same is because all the events are independent and equally likely. Graphically, the height of the probabilities is the same; thus, because the width is the same, the probabilities are equal. E) The Taverna Banfi sells 34 orders of fried calamari on a busy night. Let

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HW#5 - f(x = 1/12 3.2 4.2 4.0 H ADM 2201 Homework V Fall...

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