What is the probability distribution?

A tyre on a rental car is checked at 15,000km and is then withdrawn from service after 60,000km. If the tyre fails, it is equally likely to fail randomly at any time between those two distances.

• Binomial

• Poisson

• Normal

• Triangular

• Rectangular/Uniform

A sheep farmer knows that fleece weights for his sheep are ranged between 4kg and 14kg. She estimates that the most common weight is 10kg.

• Binomial

• Poisson

• Normal

• Triangular

• Rectangular/Uniform

In a certain population, it is known that 35% can roll their tongue. Find the probability that, in a sample of 15, a majority can roll their tongue

• Binomial

• Poisson

• Normal

• Triangular

• Rectangular/Uniform

A radioactive source emits four particles on average during a 5-second period. Calculate the probability that the source emits three particles during a 5 second period

• Binomial

• Poisson

• Normal

• Triangular

• Rectangular/Uniform

A machine produces ball-bearings. The weights of the ball-bearings have a mean of 2500mg and a standard deviation of 8mg

• Binomial

• Poisson

• Normal

• Triangular

• Rectangular/Uniform

A scientific-instruments manufacturer makes thermometers. The thermometers are tested for accuracy by immersing them in freezing water, and they are then recalibrated if they are not sufficiently accurate. The measurements when a thermometer are first tested have a mean of 0 degrees Celsius and a standard deviation of 1 degree Celsius.

• Binomial

• Poisson

• Normal

• Triangular

• Rectangular/Uniform

A GPS navigation device 'resets' it's location at a random time in an eight second interval. The device is equally likely to reset this signal at any time.

• Binomial

• Poisson

• Normal

• Triangular

• Rectangular/Uniform

A carwash operator counts the number of cars arriving at the premises and finds that, on average, there are seven per hour.

• Binomial

• Poisson

• Normal

• Triangular

• Rectangular/Uniform

An advertising survey has shown that the proportion of households that use Colgate toothpaste is 25%. In a sample of 10 households, what would be the probability of finding that 8 or more do not use Colgate toothpaste?

• Binomial

• Poisson

• Normal

• Triangular

• Rectangular/Uniform

A car assembler examined records of cars sold, and found that 15% of them were red in colour. If customer preferences remain the same, calculate the probability that more than 40 in the next 200 orders will be for red cars.

• Binomial

• Poisson

• Normal

• Triangular

• Rectangular/Uniform