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Introduction 249<br />

of people watching sporting events. In the first week of August<br />

exceptional sales of 1.2 million cans were achieved. In the absence<br />

of other information, would you judge that it is more likely that<br />

sales for the following week will be:<br />

(a) higher;<br />

(b) about the same; or<br />

(c) lower than 1.2 million cans?<br />

(9) Charles is 28 years old, tall, slim and powerfully built. He is popular<br />

with his colleagues at work, who like his ready sense of humor,<br />

and he spends his lunch times jogging in the nearby park. While<br />

relaxing at home he prefers to wear a track suit and recently he took<br />

out a subscription to a cable television channel devoted entirely to<br />

sport. He takes little interest in the arts or in current affairs. Which<br />

is more likely:<br />

(a) Charles is a lawyer;<br />

(b) Charles is a lawyer who regularly takes part in team sports?<br />

(10) Which of the following scenarios is most likely to occur?<br />

(a) A decline in the share of the global market of the US computer<br />

manufacturing industry during the first decade of the twentyfirst<br />

century.<br />

(b) A decline in the share of the global market of the US computer<br />

manufacturing industry during the first decade of the twentyfirst<br />

century, as a result of competition from Asian countries<br />

such as Japan, Malaysia and South Korea.<br />

(11) The neighboring republics of Turkmenistan and Uzbekistan were<br />

both formerly part of the Soviet Union. In 1990 Turkmenistan had<br />

a population of 3.7 million. Estimate Uzbekistan’s 1990 population.<br />

(12) An electronic safety system, which will automatically shut off<br />

machinery in the event of an emergency, is being proposed for a factory.<br />

It would consist of 150 independent components, each of which<br />

must work if the entire system is to be operational. On any day, each<br />

component would be designed to have a 99.5% probability of working.<br />

Estimate the probability that the entire safety system would be<br />

operational on any given day if a decision was made to install it.<br />

(13) Currently, 10 people work in an office and each has a 5% probability<br />

of leaving during the next year. Estimate the probability that at least<br />

one of these people will leave within the next 12 months. (Assume<br />

that the chance of any one person leaving is independent of whether<br />

the others stay or leave.)<br />

(14) For each of the 10 quantities listed below (i) write down your best<br />

estimate of that quantity and (ii) put a lower and upper bound

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