Question

Consider the following question and determine if the random variable X is Continuous or Discrete. Select a distribution to use from the options to find the exact probability in question. Select either Uniform, Binomial, Poisson, Normal, or Exponential. Do not solve the problem simply explain how you arrived at your conclusion when selecting the random variable and the selected distribution.

Question:

You have taken a sample from a batch of parts and have averaged the diameter of the parts in the sample. You want to know the probability that the sample average is less than 1.25 inches.

Answer 1

X---- Will be Continuous Random Variable .

Explanation:

Continuous Random Variable: A variable is a quantity whose value changes between any point or interval. This is real quantity. Here, Diameter is a continuous Number.

A discrete random variable is a variable whose value is obtained by counting.

And Distribution Will be Normal Distribution

Explanation:

In Normal Distribution we take sample distribution of sample mean. And then find their Probability .

In Normal Distribution , distribution is symmetric about sample mean.