Question

A discrete random variable takes on values of 1,2 or 3 only,

each with probability (k/6),(k/3) and (k/2) respectively. Find mean
and standard deviation ?

Answer 1

To find the mean and standard deviation of a discrete random variable, use formulas that involve the values and probabilities. Plug in the given probabilities to find the mean and standard deviation for the given random variable.

Step-by-step explanation:

To find the mean and standard deviation of the given discrete random variable, we can use the following formulas:

1. Mean = Σ(x * P(x)), where x represents the value of the random variable and P(x) represents the probability of that value occurring.
2. Standard Deviation = √[Σ((x - mean)² * P(x))], where x represents the value of the random variable, mean represents the mean, and P(x) represents the probability of that value occurring.

Using the provided probabilities:

• Mean = (1 * k/6) + (2 * k/3) + (3 * k/2)
• Standard Deviation = √[((1 - mean)² * k/6) + ((2 - mean)² * k/3) + ((3 - mean)² * k/2)]