Let Z be a random variable following the standard normal distribution with mean µ = 0 and standard deviation σ = 1.
The 67th percentile of the distribution is the value z that separates the bottom 67% of the distribution from the top 100% - 67% = 33%. In terms of probability, we have
Pr[Z ≤ z] = 0.67
Use the inverse CDF for the normal distribution (or lookup z scores in a table) to find
z = ɸ⁻¹(0.67) ≈ 0.4399
where ɸ(z) is the CDF for the normal distribution.
The concepts of figure-ground relationship, law of continuity, and principle of closure is Gestalt principles.
<h3>What is Gestalt principles?</h3>
Gestalt principles is a school of thought in psychology that involves figure-ground relationship, grouping by proximity or similarity, law of continuity, and closure are all used to help explain how we organize sensory information.
Thus, the concepts of figure-ground relationship, law of continuity, and principle of closure is Gestalt principles.
Learn more about Gestalt principles here: brainly.com/question/24915896
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The limit from 1 to 2 of the given antiderivative is; -0.19865
<h3>What is the Limit of the Integral?</h3>
We are given the antiderivative of f(x) as sin(1/(x² + 1)). Thus, to find the limit from 1 to 2, we will solve as;
⇒ (sin ¹/₅) - (sin ¹/₂)
⇒ 0.19866 - 0.47942
⇒ -0.19865
Complete Question is;
If sin(1/(x² + 1)) is an anti derivative for f(x), then what is the limit of f(x)dx from 1 to 2?
Read more about integral limits at; brainly.com/question/10268976
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