#### Description

##### Statistics

**Description**

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**Question**

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} Q1),Both undergraduates and postgraduates can use the university cafeteria. Each diner can choose between buying a meal or bring a packed lunch.( Everyone one has exactely one meal each, no more and no less). The cafeteria offers a daily choice between a hot meal or a cold meal. A survey of undergraduate diners finds that 40% of them bring their own food. Overall, only 25% of the diners bring their own food. Postgraduates make up one fifth of the diners in the cafeteria. a), What is the probability that a diner is an undergraduate and has bought a meal? b), What is the probability that someone who has bought a meal is a postgraduate? Document Preview: ECON1007 W1 Q1) Both undergraduates and postgraduates can use the university cafeteria. Each diner can choose between buying a meal or bringing a packed lunch. (Everyone has exactly one meal each, no more and no less). The cafeteria offers a daily choice between a hot meal or a cold meal. A survey of undergraduate diners finds that 40% of them bring their own food. Overall, only 25% of the diners bring their own food. Postgraduates make up one fifth of the diners in the cafeteria. a) What is the probability that a diner is an undergraduate and has bought a meal? [8] b) What is the probability that someone who has bought a meal is a postgraduate? [8] c) Give two different examples from the question of mutually exclusive events. [4] Q2) Two types of vehicle use the university central bus station: Uni-link buses and National Express coaches. a) On average, a National Express coach arrives every two hours. What is the probability that only one bus will arrive in a four hour period? [5] b) On the U1 Uni-link bus route, buses either go to the airport or to the docks. Other Uni-link routes do not go to the airport. At the bus station, half of the U1 buses which arrive are going to the airport. At midday, 10% of the Uni-link buses are full. Of these particular buses, 30% are airport buses on the U1 route. U1 buses make up 40% of the Uni-link arrivals at the bus station. What is the probability that a bus is full at midday, given that it is an Airport U1 bus? [6] c) Are the events ‘bus is full’ and ‘bus is going to the Airport’ independent? Show your reasoning. [4] Question 2 continues on the next page ECON1007 W1 d) On average, a certain number, k, of National Express coaches go to Bournemouth every day. It is found that the probability of n coaches going to Bournemouth in a day is .ke- What is n? [5] Q3) The standard error of the mean is given by the formula: nxss= a) Explain what the standard error of the mean represents. [5] b) Is it possible for the standard error of... Attachments: Statistics-2.pdf May 13 2013 01:13 PM"

Solution ID:608992 | This paper was updated on 26-Nov-2015

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