An integer is chosen randomly between 0 and 4 inclusive A ra

An integer is chosen randomly between 0 and 4, inclusive. A random variable is assigned to each outcome according to the following rule X = sin(i*pi/4), where i is the outcome. Find and sketch the PMF of X.

FInd and sketch the PMF of X.

Solution

For each integer prob = equal = 0.2

For integer =0, x = 0sin pi/4 =0

The table is shown below: (for x values and probability)

PMF of X:

Integer 0 1 2 3 4
X 0 0.7071 1.4142 2.1213 2.8284
P(x) 0.2 0.2 0.2 0.2 0.2
An integer is chosen randomly between 0 and 4, inclusive. A random variable is assigned to each outcome according to the following rule X = sin(i*pi/4), where i

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