The masses, in grams, of plums of a certain type have the distribution N(40.4, 5.2²). The plums are packed in bags, with each bag containing 6 randomly chosen plums. If the total weight of the plums in a bag is less than 220 g the bag is rejected.

Last Saturday, Sarah recorded the colour and type of 160 cars in a car park. All the cars that were not red or silver…

The discrete random variable X has the following probability distribution. X|-2|0|1|3|4 P(X = x)|0.2|0.1|p|0.1|q

A summary of n values of x gave the following information: Σ(x – 20) = 136, Σ(x – 20)² = 2888. The mean of the n valu…

The line l has equation r = 4i + 3j – k + μ(i + 2j – 2k). The plane p has equation 2x – 3y – z = 4.

Two particles A and B, of masses 0.8 kg and 0.2 kg respectively, are connected by a light inextensible string that pa…

A particle of mass 12 kg is on a rough plane inclined at an angle of 25° to the horizontal. A force of magnitude P N …