Deck 6: Modeling Random Data and Noise

Question 1

The standardized Gaussian PRNG produces Gi and the PRNG value is uniformly distributed over [0,
1).If are independent, what is the mean and variance of

Answer 1

has mean 0 and variance has mean 4(0.5)=2 and variance gives

Question 2

For the RV Z that is uniformly distributed between -2 and 4, the mean

Answer 2

x=1 is the point of symmetry

Question 3

The RV Z is uniformly distributed between -0.15 and 0.35 .What is the amplitude of PDF that
makes the area under the curve equal to 1.

Answer 3

Question 4

The standardized Gaussian PRNG produces Gi .What is the mean and variance of

Question 5

An experiment with RV X produces three possible values 0, 1 and 2.If the probability and

Question 6

When performing 10 experiments the RV X produces the following realizations:
2, 1, -1, 0, 3, 5, -1, 2, 0, 1
Ave(X) = _____ and Var(X) = _____.

Question 7

The PRNG value Yiis uniformly distributed over [0,1).The value is uniformly distributed
over what range?

Question 8

The standardized Gaussian PRNG produces Gi and If G1 and G2 are independent standardized
Gaussian RVs and the value of the variance of P equals______.

Question 9

The probability that the RV Y that is uniformly distributed over [0,1) produces values that lie in the
range [0.1, 0.5] equals _____.