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img006 - ITIS 1P97 Section 1 — Canbolat 6 Fall 2009 PART...

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Unformatted text preview: ITIS 1P97 Section 1 — Canbolat 6 Fall 2009 PART C: PROBLEM SOLVING QUESTIONS PROBLEM #1: (15 marks) (a) A random survey of likely voters was taken regarding the issue of privatizing Social Security. The results of the survey are summarized in the table below. Given the voter does not support privatization, what is the probability that the person is an Independent? (2 marks) Democrats Republicans Independents Support Privatization 50 100 40 Do not Support Privatization 250 50 20 Set-Hat M Persvn {5 on 3W BA aim WE deem“? Support Prfva‘lizombh 138 Q 4m“ Poms): ao/(250+so+2o) ; l/u, : 0.0625, (b) For the following problem, which type of probability distribution would be appropriate to use? Why? (No calculation is necessary). You are a hospital administrator at a medium size hospital. You have decided that if the probability of 10 or more patients arriving at the emergency room within an hour of each other is 90 % or greater, you will have extra staff on call. As having extra staﬁ‘ on call is costly, you would want to determine the cumulative probability of having 10 or more arrivals. (2 marks) Poisson distribuh‘m . lBQCOJ/(SE (1‘ deals Wl'l'l‘. mbletns related +0 Wwbll’ﬂ 1 Gt? DCCwmnC€ during {hawk ‘hW thwart/al- (Per hout‘l (c) Throw a fair die. You earn \$100 each time the die shows ﬁve or six dots and lose \$50 each time it shows one, two, three or four dots. Let x be a discrete random variable representing these amounts. Fill in the appropriate space in the table below and then calculate the expected value (3 marks). Would you play the gamble if it costs you \$10 to play (1 mark)? ,1 Em; A :3 «we: — 106*») The expected value (‘5 los 80 X (ICON—t play ...
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