The cooling system for a quantum processor is monitored during a stability test. The operating temperature, $T$ Kelvin, is modelled by a normal distribution with a mean of $84.2$ K.

Sketch the distribution of $T$ . Label the mean on your sketch.

The target operating limit for the system is $82.5$ K. The standard deviation of the system's temperature is $1.4$ K.

Find the percentage of time that the system operates below the target limit of $82.5$ K.

The coldest $1.5%1.5\%$ of temperature readings trigger an automatic safety shutdown.

Show that the maximum temperature to trigger a safety shutdown, correct to 3 significant figures, is $81.2$ K. Show your working clearly.

Maintenance alerts are issued if a temperature reading $t$ falls in a range such that:

P (t < T < 82.5) = 0.075

Find the value of $t$ , giving your answer to 1 decimal place. Show your working clearly.

The cooling system for a quantum processor is monitored during a stability test. The operating temperature, $T$ Kelvin, is modelled by a normal distribution with a mean of $84.2$ K.

Sketch the distribution of $T$ . Label the mean on your sketch.

The target operating limit for the system is $82.5$ K. The standard deviation of the system's temperature is $1.4$ K.

Find the percentage of time that the system operates below the target limit of $82.5$ K.

The coldest $1.5%1.5\%$ of temperature readings trigger an automatic safety shutdown.

Show that the maximum temperature to trigger a safety shutdown, correct to 3 significant figures, is $81.2$ K. Show your working clearly.

Maintenance alerts are issued if a temperature reading $t$ falls in a range such that:

P (t < T < 82.5) = 0.075

Find the value of $t$ , giving your answer to 1 decimal place. Show your working clearly.

2 Statistics

Question 281

Markscheme

2 Statistics

Question 281

Markscheme

2 Statistics

Question 281

2 Statistics Questions

2 Statistics

Question 281

2 Statistics Questions