Statistics Flashcards: Defining Random Variables And Probability Distributions

Study Defining Random Variables And Probability Distributions in Statistics with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

QUESTION

Which graph is most appropriate for a discrete probability distribution: histogram or bar graph?

Tap card or press Space to flip

ANSWER

Bar graph (separate bars for each value of $X$ ). Discrete values require separated bars, unlike continuous histograms.

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What this deck covers

This deck focuses on Defining Random Variables And Probability Distributions, giving you a quick way to review the definitions, rules, and examples that matter most for Statistics.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Practice questions

1 of 50Practice questions for this set

A fair coin is flipped twice. The sample space is

\{HH, HT, TH, TT\}

. Define the random variable

X

as the number of heads obtained. Which table correctly represents the probability distribution of

X

Choose an answer

$X$	$P(X)$
0	$\tfrac{1}{4}$
1	$\tfrac{1}{2}$
2	$\tfrac{1}{2}$

$X$	$P(X)$
0	$\tfrac{1}{4}$
1	$\tfrac{2}{4}$
2	$\tfrac{1}{4}$

$X$	$P(X)$
HH	$\tfrac{1}{4}$
HT	$\tfrac{1}{4}$
TH	$\tfrac{1}{4}$
TT	$\tfrac{1}{4}$

$X$	$P(X)$
0	$\tfrac{1}{4}$
2	$\tfrac{1}{4}$

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