Q. 1 D5.0( 1 Vote )
Which of the following distributions of probabilities of a random variable X are the probability distributions?
Answer :
The key point to solve the problem:
A given distribution of probabilities of a random variable X is said to be probability distribution if the sum of probabilities associated with each random variable is equal to 1
i.e. ∑(pi) = 1
Given distribution is :
Clearly,
Sum of probabilities = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)
= 0.3 + 0.2 + 0.4 + 0.1
= 1
∴ The given distribution is a probability distribution.
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Which of the following distributions of probabilities of a random variable X are the probability distributions?
A random variable X has the following probability distribution:
