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:

• $P(C\cap S^{\prime })=0.147$
• $P(C\cap S)=0.062$
• $P(S\cap C^{\prime }\cap T^{\prime })=0.224$
• $P(S\cap T)=0.088$
• $P(T\cap S^{\prime })=0.319$

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