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:
a. Amplitude: 4
Period: 1
b. The maximum values occur at
The minimum values occur at
The zeros occur at
Step-by-step explanation:
We can see from the graph that;
.
This implies that;
.
The amplitude is 4.
The function also completed one full cycle on the interval [0,1]
The period is
The maximum values occur at
The minimum values occur at
The zeros occur at
This is where the graph intersected the x-axis.