An electrical circuit contains two switches, labeled ―A‖ and ―B,‖ which are connected in parallel; i.e.,...

An electrical circuit contains two switches, labeled ―A‖ and ―B,‖ which are connected in parallel; i.e., the circuit functions if either (or both) of the two switches functions. The probability that switch A functions is 3/4. However, the switches do not operate independently. If switch A functions, then switch B functions with probability 8/9. If switch B functions, then switch A functions with probability 4/5. (a) What is the probability that both switches function? (b) What is the probability that switch B functions? (c) What is the probability that the electrical circuit functions? (d) Given that the electrical circuit functioned, what is the probability that switch B functioned?

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

A simple electrical circuit comprises a battery and two 10.0 ? resistors connected in series. The...

A simple electrical circuit comprises a battery and two 10.0 ? resistors connected in series. The battery generates a voltage of 8.95 V and the current passing through the circuit is 425 mA. (a) Calculate the internal resistance (r) of the battery. (b) Briefly explain why a good voltmeter should have a high resistance.

Driven RC circuit in parallel. A capacitor C is connected in parallel to a resistor R...

Driven RC circuit in parallel. A capacitor C is connected in parallel to a resistor R and an AC source providing a voltage v(t) = V sin(ωt). (a) Make a phasor diagram at time t showing all relevant based on Kirchhoff’s rules. (b) Find the impedance of this circuit and make a plot of Z vs. ω. (c) What are the small and large frequency behaviors of the peak capacitor and resistor currents? (d) What is the phase difference between...

Two 60.0 Ω resistors are connected in parallel and this parallel arrangement is then connected in...

Two 60.0 Ω resistors are connected in parallel and this parallel arrangement is then connected in series with a 30.0 Ω resistor. The combination is placed across a 120V potential difference. Can you design the circuit diagram using above data? According to your observation show that total voltage is equal to the sum of the individual voltage and also show that total power dissipated is equal to the sum of the power dissipated by individual resistor. Also suggest what will...

20.Two 60.0 Ω resistors are connected in parallel and this parallel arrangement is then connected in...

20.Two 60.0 Ω resistors are connected in parallel and this parallel arrangement is then connected in series with a 30.0 Ω resistor. The combination is placed across a 120V potential difference. Can you design the circuit diagram using above data? According to your observation show that total voltage is equal to the sum of the individual voltage and also show that total power dissipated is equal to the sum of the power dissipated by individual resistor. Also suggest what will...

Which of these is the same in parallel branches of a parallel circuit? a. current is...

Which of these is the same in parallel branches of a parallel circuit? a. current is the same b. voltage is the same c. resistance is the same d. all of these

A device connected in a parallel circuit will undergo a higher voltage drop compared to the...

A device connected in a parallel circuit will undergo a higher voltage drop compared to the same device connected in a series circuit. is this true or false, and also why does this occur?

Consider 5 sequentially connected switches labeled switch 1, 2, 3, 4 and 5, and each switch...

Consider 5 sequentially connected switches labeled switch 1, 2, 3, 4 and 5, and each switch has 4 hosts connected to it (total of 20 hosts). If a host on switch #1 made a virtual circuit connection to every other host on the network, how many rows would be in each switch's virtual circuit table?

What is the difference between a series circuit and a parallel circuit? which circuit is better?...

What is the difference between a series circuit and a parallel circuit? which circuit is better? Think about where he circuit could be used in an automotive/chat application.

A series RC circuit is connected in parallel to a 5 volt DC voltage source, where...

A series RC circuit is connected in parallel to a 5 volt DC voltage source, where resistance R=1 M ohm and capacitance C= 1 microfarad. If at the start of operation, voltage across the capacitor is 5 volts, calculate the voltage across the capacitor at t=2 seconds. Also sketch the instantaneous voltage across the resistor. using differential equation.

2. A circuit contains 3 resistors connected in series and no battery. It is a closed...

2. A circuit contains 3 resistors connected in series and no battery. It is a closed circuit and has dimensions of 18 cm by 42 cm. The resistor values are 12, 15 and 18 ohms. A magnetic field directed out of the plane of the circuit changes from 52 T to 0 T in 2.9 sec. a. Sketch the circuit and indicate the direction of the initial magnetic field. b. What is the magnetic flux through the circuit when the...

Subjects