Find the noise figure for a receiver front end
Since this is an assignment, I would prefer giving the way to approach the question rather solving it here.
The bandpass filter section right after the receiving antenna has a loss of 2 dB (or, a gain of -2dB). You then have the amplifier (LNA mostly) followed by the mixer section and a second BPF. What is your overall noise figure? Isn't it the ratio of the input SNR to the output SNR?
Consider the circuit in sections (or stages)

The first bandpass filter: The gain is -2 dB while the noise figure is 2 dB.

For the amplifier section, the gain and noise figure have been mentioned. This is second stage and the overall noise figure at this stage depends on the noise figure of the current stage as well as the noise figure and gain of the previous stage.

Similar to stage 2, the values have been mentioned. Similar noise figure and gain dependencies follow here.

We have a second BPF whose specifications are same as the first one.