One afternoon, there were 200 visitors to a library. The table summarises the time, in minutes, each visitor spent in the library. Time (t minutes) | 0 < t ≤ 20 | 20 < t ≤ 40 | 40 < t ≤ 60 | 60 < t ≤ 90 | 90 < t ≤ 180 ---|---|---|---|---|--- Frequency | 26 | 76 | 56 | 24 | 18 [Figure 2a(i) Histogram Grid] (b) Mario recorded the number of books borrowed by each of the 200 visitors to the library. His results are shown in the table. Number of books | 0 | 1 | 2 | 3 | 4 | 5 | 6 ---|---|---|---|---|---|---|--- Frequency | 17 | 47 | 42 | 28 | 32 | 21 | 13

1. (a)(i)On the grid, draw a histogram to represent this data.[3]
2. (a)(ii)Work out the percentage of these visitors who spent more than 40 minutes in the library.[2]
3. (b)(i)Find the median.[1]
4. (b)(ii)Calculate the mean.[2]
5. (b)(iii)One of the visitors is selected at random. Find the probability that this visitor borrowed more than 4 books.[1]
6. (b)(iv)Two of the visitors are selected at random. Find the probability that only one of them borrowed 6 books. Give your answer as a decimal correct to 4 significant figures.[3]

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