Question

The probability that a data-communications system will have high selectivity is .72, the probability that it will have high fidelity is .59, and the probability that it will have both is .33. Find the probability that a system with high fidelity will also have high selectivity.

Answer 1

The probability that a system with high fidelity will also have high selectivity is 0.559322

Explanation:

According to the given data we have the following:

P(high selectivity)=0.72

P(high fidelity )=0.59

P(both)=0.33

Therefore, to calculate the probability that a system with high fidelity will also have high selectivity we would have to make the following calculation:

the probability is P(high selectivity|high fidelity) =P(both)/P(high fidelity)

the probability is P(high selectivity|high fidelity) =0.33/0.59

the probability is P(high selectivity|high fidelity) = 0.559322

The probability that a system with high fidelity will also have high selectivity is 0.559322