A) Quantitative vs. Qualitative variables – write an example of
each.
B) Discrete or Continuous? – for the quantitative variable
example you noted in part (A) above, is it discrete or
continuous?
C) For each of the following questions, you will be identifying
the independent variable(s) (IV) and the dependent variable(s)
(DV), then operationally defining them.
1. Does people’s level of self-esteem influence how hard they
try to succeed at achievement tasks? IV: Op. Def:
DV: Op. Def:
2. Does...
Classify each of the following processes as discrete-time or
continuous-time, and discrete-space
or continuous-space.
(a) The baud rate of a modem, recorded every 60 s
(b) The number of people logged into Facebook throughout the
day
(c) The operational state, denoted 1 or 0, of a certain machine
recorded at the end of each hour
(d) The noise (in dB) in an audio signal measured throughout
transmission
2. Classify each of the following processes as discrete-time or
continuous-time, and discrete-space
or continuous-space.
(a) The baud rate of a modem, recorded every 60 s
(b) The number of people logged into Facebook throughout the
day
(c) The operational state, denoted 1 or 0, of a certain machine
recorded at the end of each hour
(d) The noise (in dB) in an audio signal measured throughout
transmission
What type are each of these: discrete, continuous, or
categorical?
and What level are each: interval, ordinal, ratio, nomial?
-Number of Contacts on your phone
-The high daily temperature in San Jose
-The name of a college a student attends
Classify each of the following random variables as discrete or
continuous. a) The time left on a parking meter So, we want to ask
do we COUNT the time left on the parking meter or do we MEASURE it.
We measure the time, so measuring is continuous. b) The number of
bats broken by a major league baseball team in a season We can
count the number of physical bats there broken during a season.
Since we can COUNT it,...
Signals and systems
Find the complex exponential Fourier series for the following
signals. In each case plot the magnitude and phase line spectra for
k ≥ 0.
(i) x1(t) = cos(5t + 45o )
(ii) x2(t) = sin2 (t)
(iii) x3(t) = cos(3t) + cos(5t)]
Consider an observable with continuous spectra.
In contrast with the discrete case, what can you say about the
eigenfunctions of this observable, the probability of obtaining a
given value after a measurement, and the state of a system after a
measurement is performed?
describe an example that uses discrete probabilities
or distributions. Provide an example that follows either the
binomial probabilities or any discrete probability distribution,
and explain why that example follows that distribution. In your
responses to other students, make up numbers for the example
provided by that other student, and ask a related probability
question. Then show the work (or describe the technology steps) and
solve that probability example.