1.Suppose a survey by the department of road in 2019 reveal that 60% of the vehicle travelling to Suva- Nadi highway, where speed limits are posted at 80 kilometer per hour are found to be exceeding the limit. Suppose you randomly record the speed limit of 10 vehicles travelling on the highway as part of your internship. The sample size of the entire survey is not disclosed to you.

Compute the following probabilities, showing all working out.

a)P(x-2)

b)P(x-5)

c)P(x-10)

2.A researcher classifies student according to their residences (urban and rural) and hours of paid work per week. He randomly selects one student.

Residence 0 1-10 11-20 Over 20

urban 0.06 0.20 0.15 0.06

rural 0.12 0.18 0.20 0.03

a.If the student is selected from the rural region. What is the probability that he works between 1-10 hours a week?

b.If the student is selected work more than 20 hours a week. What is the probability that the student reside in in urban region?