2.3 Probability

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Question 108

43%

An astrophysicist is monitoring a space telescope's imaging sensors for three types of interference: Cosmic Ray hits ( $C$ ), Solar Flares ( $S$ ), and Thermal Noise spikes ( $T$ ). The probabilities of these events occurring during a specific exposure window are provided below using set notation:

$\cap S') = 0.147$
$\cap S) = 0.062$
$\cap C' \cap T') = 0.224$
$\cap T) = 0.088$
$\cap S') = 0.319$

It is known that the telescope's shielding prevents Cosmic Ray hits and Thermal Noise spikes from occurring simultaneously, making them mutually exclusive events ( $\cap T = \emptyset$ ).

Given that the probability of an exposure having no interference is represented by $w$ , determine the value of $w$ .

[3]

2.3 Probability

Question 108

43%

$\cap S') = 0.147$
$\cap S) = 0.062$
$\cap C' \cap T') = 0.224$
$\cap T) = 0.088$
$\cap S') = 0.319$

It is known that the telescope's shielding prevents Cosmic Ray hits and Thermal Noise spikes from occurring simultaneously, making them mutually exclusive events ( $\cap T = \emptyset$ ).

Given that the probability of an exposure having no interference is represented by $w$ , determine the value of $w$ .

[3]

2.3 Probability

Question 108

Markscheme

2.3 Probability

Question 108

Markscheme

2.3 Probability

Question 108

2.3 Probability Questions

2.3 Probability

Question 108

2.3 Probability Questions