IAL S2 Discrete Distributions

Jim farms oysters in a particular lake. He knows from past experience that 5% of young oysters do not survive to be harvested.

In a random sample of 30 young oysters, the random variable X represents the number that do not survive to be harvested.

Select the correct model to represent the distribution...

The probability that a person completes a particular task in less than 15 minutes is 0.4

Jeffrey selects 20 people at random and asks them to complete the task.

The random variable, X, represents the number of people who complete the task in less than 15 minutes.

Select the correct model to represent the distribution...

A company produces packets of sunflower seeds. Each packet contains 40 seeds.

The company claims that, on average, only 35% of its sunflower seeds do not germinate.

Select the correct model to represent the distribution of seeds that DO germinate...

The average number of water fleas, in 100 ml of pond water is 7.

Select the correct model to represent the distribution of water fleas in 100ml...

The average number of water fleas, in 100 ml of pond water is 7.

Select the correct model to represent the distribution of water fleas in 10000ml...

Bhavna produces rolls of cloth.

She knows that faults occur randomly in her cloth at a mean rate of 1.5 every 15 metres.

Select the correct model to represent the distribution of faults in 15 metres...

Bhavna produces rolls of cloth.

She knows that faults occur randomly in her cloth at a mean rate of 1.5 every 15 metres.

Select the correct model to represent the distribution of faults in 1 metre...

Accidents occur randomly at a crossroads at a rate of 0.5 per month.

A researcher records the number of accidents, X, which occur at the crossroads in 18 months.

Select the correct model to represent the distribution of X...

Accidents occur randomly at a crossroads at a rate of 0.5 per month.

A researcher records the number of accidents, X, which occur at the crossroads in a year.

Select the correct model to represent the distribution of X...

• 4

• E(Y)

• 2.4

• E(X)

• 4

• Var(X)

• 0.48

• Var(Y)