2.3.3 Conditional probability (A-level only)

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Question 72

In an automated greenhouse, a monitoring system tracks high humidity levels (event $H$ ) and the activation of the mist irrigation system (event $W$ ). It is observed that:

\cap W) = 0.18 \quad \text{and} \quad P(H' \cap W') = 0.42

a.

Find $P (H)$ .

[2]

b.

Find $\cup W)$ .

[2]

c.

Given that $P (H ∣ W) = 0.1$ ,

find $\cap W)$ .

[3]

d.

Determine whether or not $H$ and $W$ are independent.

[2]

2.3.3 Conditional probability (A-level only)

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Question 72

In an automated greenhouse, a monitoring system tracks high humidity levels (event $H$ ) and the activation of the mist irrigation system (event $W$ ). It is observed that:

\cap W) = 0.18 \quad \text{and} \quad P(H' \cap W') = 0.42

a.

Find $P (H)$ .

[2]

b.

Find $\cup W)$ .

[2]

c.

Given that $P (H ∣ W) = 0.1$ ,

find $\cap W)$ .

[3]

d.

Determine whether or not $H$ and $W$ are independent.

[2]

2.3.3 Conditional probability (A-level only)

Question 72

2.3.3 Conditional probability (A-level only) Questions

2.3.3 Conditional probability (A-level only)

Question 72

2.3.3 Conditional probability (A-level only) Questions