In a normal distribution, do the tails touch the horizontal axis?

Unlock all questions

This demo includes only 20 questions. Upgrade to access hundreds of questions, flashcards, exam simulations, and disable ads.

Full question bankExam simulationsFlashcards
From $9.99Unlock all

Prepare for the AQA Psychology Research Methods exam with this comprehensive test. Study using flashcards and multiple choice questions, each complete with hints and explanations. Boost your confidence for success!

Multiple Choice

In a normal distribution, do the tails touch the horizontal axis?

Explanation:
In a normal distribution, the curve’s tails extend indefinitely and get ever closer to the horizontal axis without actually meeting it. The probability density is positive for every finite x, given by f(x) = (1/(σ√(2π))) exp(-(x-μ)^2/(2σ^2)). As x → ±∞, the density approaches zero, so it gets arbitrarily close to the axis but never reaches it at any finite point. Since the horizontal axis represents zero density, the tails do not touch it.

In a normal distribution, the curve’s tails extend indefinitely and get ever closer to the horizontal axis without actually meeting it. The probability density is positive for every finite x, given by f(x) = (1/(σ√(2π))) exp(-(x-μ)^2/(2σ^2)). As x → ±∞, the density approaches zero, so it gets arbitrarily close to the axis but never reaches it at any finite point. Since the horizontal axis represents zero density, the tails do not touch it.

More Multiple Choice Questions
Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy