MATHEMATICS · Multi-part · CBSE · Mathematics · Probability · Probability
Problem
In a school survey, every student was asked about the main mode of transport they use to reach school. The results are modelled by the following probabilities:
Mode of transport
Walking
Bicycle
Bus
Car
Metro
Probability
w
2w
0.35
0.15
0.10
Based on this model, answer the questions below.
(i) Form an equation in w and determine the probabilities of a student coming by walking and by bicycle.
(ii) Calculate the probability that a randomly chosen student does not use the bus to reach school.
(iii) If there are 1200 students in the school, how many students are expected to come by bicycle?