Question

Let X be a random variable with probability density function:

A) Probability distribution
B) Standard deviation
C) Expected value
D) Range

Answer 1

A random variable X is defined as a variable that can take on different numerical values with certain probabilities. The probability distribution of X can be graphed by plotting the possible values of X and their corresponding probabilities. The type of distribution for X depends on the shape of the distribution and the type of random variable.

Step-by-step explanation:

a. The random variable X represents a variable that can take on different numerical values, each with a certain probability.

b. X~ indicates that X follows a certain distribution, such as the normal distribution, exponential distribution, or binomial distribution.

c. To graph the probability distribution of X, you can plot the possible values of X on the x-axis and their corresponding probabilities on the y-axis.

d. The distribution for X can be determined based on the given information, such as the shape of the distribution and the type of random variable.