the probability mass functions of a discrete random variable X is equal p(x) = a x, for x = 1,2,3 and 4. Find the value of a ?
To find the value of a, we need to use the property of probability mass functions that the sum of probabilities of all possible outcomes must equal 1.
In this case, we have the probability mass function p(x) = ax, where x = 1, 2, 3, and 4.
So, let's calculate the sum of probabilities for all possible outcomes:
p(1) + p(2) + p(3) + p(4) = a(1) + a(2) + a(3) + a(4)
Simplifying this expression, we get:
a + 2a + 3a + 4a = 1
Combining like terms, we have:
10a = 1
Dividing both sides by 10, we find:
a = 1/10
Therefore, the value of a is 1/10.