Consider a population of 5 families with the following data…

Consider a population of 5 families with the following data representing the number of pets in each family. FamilyNumber of Pets  A2  B6  C4  D3  E1 ​a.There are 10 possible samples of size 2 (sampling without replacement). List the 10 possible samples of size 2, and determine the mean of each sample. b.Determine the mean and the variance of the population.c.Using the 10 sample mean values, compute the mean and the standard error of the mean.​​

An inductor is connected to a variable frequency AC source w…

An inductor is connected to a variable frequency AC source with a voltage amplitude of 100 V. The maximum current in the circuit is 7.5 A when the AC source frequency is 50 Hz. At what angular frequency of the AC source is the maximum current 2.5 A? Express your answer in units of rad/s.

In the circuit shown in the figure, a resistor with R=4200 Ω…

In the circuit shown in the figure, a resistor with R=4200 Ω is connected to a sinusoidal AC source. A segment of the voltage-time graph is displayed (note that time extends to infinity). Calculate the total electrical energy (in joules, J) dissipated by the resistor over a time interval of 60 seconds.    

A circuit is shown in the figure. C = 2.4×10-5 F. The AC sou…

A circuit is shown in the figure. C = 2.4×10-5 F. The AC source has a root-mean-square voltage Vrms = 100 V. When the AC source frequency is 60 Hz, the room-mean-square current in the circuit has its maximum value of 5 A. If the frequency of the AC source is changed to 90 Hz, what is the root-mean-square current in the circuit (unit in amperes, A)?