An information source generates symbols at random from a four-letter alphabet {a, b, c, d} with probabilities

P r[a] = 1/2,
P r[b] = 1/4,
P r[c] = 1/8,
P r[d] = 1/8.

A coding scheme encodes these symbols into binary codes as follows:

0
10
110
111

Let X be the random variable denoting the length of the code, ie, the number of binary symbols

a. What is the range of X?
b. Sketch the cdfF_X (x) of X and specify the type of X
c. Find P(X≤1),P(X>1)& P(1≤X≤2)

Zack notices that segment nm and segment pq are congruent in the image below: which step could him determine if δnmo ≅δpqr by sas? (5 points) segment mo ≅ segment qr segment on ≅ segment qp ∠ n ≅ ∠ r ∠ o ≅ ∠ q

Create a graph for the demand for starfish using the following data table: quantity/price of starfish quantity (x axis) of starfish in dozens price (y axis) of starfish per dozen 0 8 2 6 3 5 5 2 7 1 9 0 is the relationship between the price of starfish and the quantity demanded inverse or direct? why? how many dozens of starfish are demanded at a price of five? calculate the slope of the line between the prices of 6 (quantity of 2) and 1 (quantity of 7) per dozen. describe the line when there is a direct relationship between price and quantity.

Sasha delivers newspapers to subscribers that live within a 4 block radius of her house. sasha's house is located at point (0, -1). points a, b, c, d, and e represent the houses of some of the subscribers to the newspaper. to which houses does sasha deliver newspapers?