1.An insurance company has evidence to suggest that 24% of cars are not insured. Calculate the following probabilities:

a)That of the next seven cars involved in accidents, exactly two are not insured.

b)That of the next twelve cars involved in accidents, fewer than three are not insured.

c)That of the fifteen cars involved in accidents, more than twelve are insured.

2.A trucking company has worked out that on average its trucks drive 115,000 kilometres a year, with a standard deviation of 22,000 kilometres. The distances driven are normally distributed.

(a)What percentage of the trucks will drive between 100,000 and 120,000 kilometres a year?

(b)What percentage of trucks will drive less than 60,000 or more than 140,000 kilometres per year?

(c)What minimum distance will be driven by at least 75% of the trucks?