2. Frequency density liv Time (mine) 70 0 60 10 30 20 40 50 A survey was carried out into the time it took students to travel to school on Monday. Information about the results of this survey is shown in the histogram in Figure, No student took more than 70 minutes to travel to school. 35 students took between 30 minutes and 40 minutes to travel to school. (a) Calculate how many students took part in the survey. [4] One of these students is to be chosen at random. (b) Calculate the probability that this student took more than 30 minutes to travel to school. [2] A similar survey was carried out on Tuesday and the results were compared with those of Monday's survey. On Tuesday, 8 fewer students took less than 10 minutes to travel to school. The number of students that took between 10 minutes and 30. minutes to travel to school was the same on both Monday and Tuesday, 3 more students took between 30 minutes and 40 minutes to travel to school, 5 fewer students took more than 40 minutes to travel to school, No student took more than 70 minutes to travel to school. One of the students from Tuesday's survey is to be chosen at random. (c) Calculate the probability that this students took more nun 30 minutes to travel to school. [3]
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