Back to Using Probability to Make Decisions — Problem 2 · Task Set 38

HSS.MD Tutor Intake - Random Variables, Expected Value, and Decisions

This short diagnostic helps your tutor see where to start in the Using-Probability-to-Make-Decisions unit. Every topic here is advanced (STEM-track) material, so a few items assume you have opted into it. Answer each question on your own, without help. If you are unsure, give your best attempt - a wrong answer still tells your tutor what to review.

Grade 11·12 problems·~16 min·Common Core Math - HS Statistics and Probability·domain·md

Work through problems with immediate feedback

Concepts

For a family of three children, let $X$ be the number of girls. The
expected value is $E(X) = 1.5$ . What does this tell you?

The result is impossible, since a family cannot have 1.5 girls.

$E(X)$ is the balance point of the distribution and need not be a
value $X$ can actually take.

Half of all families have exactly one girl and half have two.

The most likely number of girls is 1.5.