Question

Which of the following has the smallest probability?
(a) Pt > 2) ift has 5 degrees of freedom.
(b) P(t > 2) ift has 2 degrees of freedom.
(C) PC: > 2) ifz is a standard Normal random variable.
(d) Pt <2) ift has 5 degrees of freedom.
(e) Plz < 2) if z is a standard Normal random variable.

Answer 1

The expression with the smallest probability is: (C) P(z > 2), if z is a standard Normal random variable.

What is a z-core?

A z-core is also known as a standard score and it can be defined as a measure of the distance between a data point (raw score) and the mean, when standard deviation units are used.

In Statistics, z-scores can either be positive or negative and it is calculated by using this formula:

$Z=\frac{x\;-\;u}{\delta}$

Where:

• x is the sample mean or observed data.

• u is the mean.

• $\delta$ is the standard deviation.

In this exercise, we would have the smallest probability for P(z > 2), when z is a standard Normal random variable.

Read more on z-scores here: https://brainly.com/question/4302527