1. In a lot of n components, 30% are defective. Two components are drawn at random and tested. Let A be the event that the first component drawn is defective,….
Find the marginal probability mass function pY (y).
1. The number of bytes downloaded per second on an information channel has mean 10 5 and standard deviation 10 4 . Among the factors influencing the rate is congestion, which produces alternating periods of faster and slower transmission. Let X represent the number of bytes downloaded in a randomly chosen five-second period.
a. Is it reasonable to assume that μx = 5 × 10 5?
b. Explain. Is it reasonable to assume that ? Explain.
2. Refer to Exercise 1.
a. Find the marginal probability mass function pX (x).
b. Find the marginal probability mass function pY (y).
c. Find µX
d. Find µY .
e. Find σX .
f. Find σY .
g. Find Cov(X, Y).
h. Find ρX,Y .
i. Are X and Y independent? Explain.