Question 10 3.5 pts Consider the RF front-end of a communication system consisting of two cascaded amplifiers (A, and A2). Suppose G1 and G2 denote power gains (in dB) of the amplifiers A1 and A2 respectively and F1 and F2 represent the associated noise factors. There are three receivers (X, Y, Z) that use in their RF stages, the aforesaid type of cascaded amplifiers (Aj and A2). Due to varying ambient temperature, the noise performance of the amplifiers is observed to change. As such, the three receivers (X, Y, Z) are used only on prorated basis in time- scale as, 40 %, 25 % and 35 % respectively so as to avoid noise-related performance degradation, (denoted as the state, R). Further, the compiled statistics on receiver operation yield data on probabilities: p(R/X), p(R/Y) and p(R/Z). Given that (A1 and A2) are characterized by: G1 = 18 dB, G2 = 20 dB, F1 = 1.50 and F2 = 1.70; further, as regard to (X, Y, Z) and the state, R, the following data is availed: p(R/X) = 0.015, p(R/Y) = 0.025 and p(R/Z) = 0.018 Hence, determine the items listed below and choose correct set of answers in the multiple-choices shown as regard to the items evaluated: (i) Overall noise figure (NF) of the cascade set of amplifiers (A1 and A2) in dB (ii) Prior probability of the state, p(R) (iii) Conditional probability, p(X/R) (iv) Conditional probability, p(Y/R) (v) Conditional probability, p(Z/R) Multiple-choices on the answer-set (i) (ii) (iii) (iv) (v) Choices NF (in dB) P(R) p(X/R) p(Y/R) p(Z/R) 1 1.588 0.038 0.3777 0.3254 0.3267 2 1.793 0.019 0.3235 0.3369 0.3396 3 1.287 0.079 0.3239 0.3558 0.3278 4 1.599 0.039 0.3578 0.3658 0.3269 5 1.689 0.017 0.3549 0.3358 0.3255 O Choice 1 O Choice 2 O Choice 3 O Choice 4 O Choice 5