A factory makes 300 tarts every day. The tarts are apple tarts or lemon tarts. Each day a sample of 15 tarts is randomly selected for quality checks.
The proportion of apple tarts in this sample is the same as the proportion of apple tarts made that day.
On Monday it was calculated that exactly 6 apple tarts were needed in the quality checks sample.
a) Work out the number of apple tarts that were made on Monday.
On Tuesday, the number of lemon tarts needed in the quality checks sample is 4 correct to the nearest whole number.
A tart is taken at random from the 300 tarts made on Tuesday.
b) Work out the lower bound of the probability that the tart is a lemon tart.