A pharmaceutical research company is testing the effectiveness of a new antiviral treatment, therapy $T$ . In a clinical trial involving a large cohort of patients, two events were recorded:

Event $T\,$ is defined as the patient receiving the antiviral therapy.

Event $R\,$ is defined as the patient showing a significant reduction in viral load within 24 hours.

The following table summarises the joint probabilities for these events based on the trial data:

	$R$	$R^{'}$
$T$	0.36	0.24
$T^{'}$	0.12	0.28

A patient from the trial is selected at random.

(i) Find $P (T)$ .

(ii) Find $\cap R)')$ .

(iii) Find $P (R ∣ T^{'})$ .

Determine whether the events $T\,$ and $R\,$ are independent. Fully justify your answer.

A pharmaceutical research company is testing the effectiveness of a new antiviral treatment, therapy $T$ . In a clinical trial involving a large cohort of patients, two events were recorded:

Event $T\,$ is defined as the patient receiving the antiviral therapy.

Event $R\,$ is defined as the patient showing a significant reduction in viral load within 24 hours.

The following table summarises the joint probabilities for these events based on the trial data:

	$R$	$R^{'}$
$T$	0.36	0.24
$T^{'}$	0.12	0.28

A patient from the trial is selected at random.

(i) Find $P (T)$ .

(ii) Find $\cap R)')$ .

(iii) Find $P (R ∣ T^{'})$ .

Determine whether the events $T\,$ and $R\,$ are independent. Fully justify your answer.

2.3 Probability

Question 104

Markscheme

2.3 Probability

Question 104

Markscheme

2.3 Probability

Question 104

2.3 Probability Questions

2.3 Probability

Question 104

2.3 Probability Questions