Let a voltage source v ( t ) = 4 cos ( ω t + 60 ° ) be connected to an impedance Z = 2 ∠ 30 ° Ω . (a) Given the operating frequency to be 60 Hz, determine the expressions for the current and instantaneous power delivered by the source as functions of time. (b) Plot these functions along with v ( t ) on a single graph for comparison. (c) Find the frequency and average value of the instantaneous power.
Let a voltage source v ( t ) = 4 cos ( ω t + 60 ° ) be connected to an impedance Z = 2 ∠ 30 ° Ω . (a) Given the operating frequency to be 60 Hz, determine the expressions for the current and instantaneous power delivered by the source as functions of time. (b) Plot these functions along with v ( t ) on a single graph for comparison. (c) Find the frequency and average value of the instantaneous power.
Let a voltage source
v
(
t
)
=
4
cos
(
ω
t
+
60
°
)
be connected to an impedance
Z
=
2
∠
30
°
Ω
. (a) Given the operating frequency to be 60 Hz, determine the expressions for the current and instantaneous power delivered by the source as functions of time. (b) Plot these functions along with v(t) on a single graph for comparison. (c) Find the frequency and average value of the instantaneous power.
(A) Consider a communication system where the number of successful transsions
out of 10 trials follows a binomial distribution. The success probability for each triat is 0,95,
Let X be the random variable representing the number of successful transmissions.
-Sketch the cumulative distribution function (CDF) of the distribution.
2- Find Skewness coefficients and check if the distribution is symmetrical or skewed to the
right or left.
3- Find kurtosis coefficients, Check if the distribution is mesokurtic, leptokurtic or
platykurtic.
4- Find the probability of getting at most eigh. successful transmissions.
5- Find the probability P(20 with a mean 2-1 calculate the probability that the noise is greater than
3 units.
Q4: (A) Find the mean of a random variable X if
S
f(x)=
2x
0
2
for 0
(A) Suopces the current measurements in a strip of wire are normally distributed with
ca-10(mA) and a varieocom (mA)²
1- What is the probability that a current measurement lies between 7.4 and 11.6 mA?
2-Drew the probability density function of the current distribution.
(8) A factory produces light bulbs with a koown probability of P(D)-0.08 that & bulo is
dalective. If a bulb is defective, the probability that the quality control test detects it is
defective is P(TID)-0.90. Conversely, if a bulb is not defective, the probability that the test
Telesly indicaton k as defective is P(TID)-0.05. calculate the probability that a light b
is notually defective given that the test result is positive, F(DIT).
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