Georgie has a red scarf, a blue scarf and a yellow scarf. Each day she wears exactly one of these scarves. The probabilities for the three colours are 0.2, 0.45 and 0.35 respectively. When she wears a red scarf, she always wears a hat. When she wears a blue scarf, she wears a hat with probability 0.4. When she wears a yellow scarf, she wears a hat with probability 0.3.

The digits 1, 3, 5, 6, 6, 6, 8 can be arranged to form many different 7-digit numbers.

The weights of packets of a certain type of biscuit are normally distributed with mean 400 grams and standard deviati...

The results of a survey at a certain large college show that the proportion of students who own a car is 1/4.

Let f(x) = (12 + 12x - 4x²) / ((2 + x)(3 – 2x)).

Two planes have equations 2x + 3y – z = 1 and x – 2y + z = 3.

The diagram shows the curve y = sin³x √(cos x) for 0 ≤ x ≤ ½π, and its maximum point M. [Figure 10.1]