Mary is the owner of a transport company, and she wants to know which means ofpublic transport people prefer - trains or buses. She hires you to do some market research.

a) If there is a 65% probability of a person using the train to get to work and thereare 10 people using public transport, what are the chances that more than 7 will use the bus to get to work? (Round off interim steps to 5 decimals and round off only the final answer to 2 decimal places.

b) What type of probability distribution is this?

c) What does this information tell you about the preference for public transport?

The transport company offers concession cards for schoolchildren and retirees.Mary wants to revise the tariffs for the concession cards. In order to do that, she needs to know how many children and retirees use public transport and during which times of the day. You conducted another survey using a sample of 50 people, and the results of the survey can be tabled as follows:

Schoolchildren Retirees Total Peak 20 23 Off-peak Total 25 50