Geometric Distribution. (Discrete waiting time distribution) It is known that 1% of bits transmitted through a digital transmiss
ion are received in error. Bits are transmitted until the first error. Let X be the number of transmitted bits including the first error. a. What are the possible values of X? (Support) b. What is the pmf of X? C. Show that P(X>t+s|X>t) is independent of t, where s and t are positive integers. (Memoryless) d. What is the mean of X? You can either derive it, or show it with R. simulations.
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Answer:
-3/2
Step-by-step explanation:
Slope is defined as ,
So the line goes down 6 instead of rising, making the rise negative: -6
The line goes over 4, making the run: 4
So -6/4 or -3/2
Given:
The system of inequalities:
To find:
Whether the points (–3,–2) and (3,2) are in the solution set of the given system of inequalities.
Solution:
A point is in the solution set of the given system of inequalities if it satisfies both inequalities.
Check for the point (-3,-2).
This statement is true.
This statement is also true.
Since the point (-3,-2) satisfies both inequalities, therefore (-3,-2) is in the solution set of the given system of inequalities.
Now, check for the point (3,2).
This statement is false because .
Since the point (3,2) does not satisfy the second inequality, therefore (3,2) is not in the solution set of the given system of inequalities.