A city has 1,061,092 residents. A recent census showed that 320,101 of these res

Question

A city has 1,061,092 residents. A recent census showed that 320,101 of these residents requlany use the cty's pubic ransportation system. sus inucted in which 1,168 of the city's 1,061,092 residents will be randomly selected. This question relates to the number of people in the survey that is made up of people that do use the city's public transport. The number of people in the survey that do use public transport approximately followsa normal distribution. Calculate the mean of this distribution. Give your answer to the nearest whole number. Mean

Explanation / Answer

We first find the proportion of residents in the population who regularly use the city's public transport, p =

(No. of residents who use public transport)/(Population size) = 320101/1061092 = 0.301671297.

Now, the average proportion of residents in the survey who use city's public transport = p*(No. of people in survey) = 0.301671297*1168 = 352.352 = 352 (nearest whole number)

Thus, the required mean of the distribution is 352.

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