An ecologist wishes to mark off a circular sampling region having radius 10 m. However, the radius of the resulting region is actually a random variable R with the following pdf. f(r) = 1- (10- - r²] 0 9 ≤rs 11 otherwise What is the expected area of the resulting circular region? (Round your answer to two decimal places.) m²

Q: find the z-score that has 30.5% of the distributions area to its left.

A: From the given information, PZ<z=30.5%⇒PZ<z=0.305

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Q: find the z-score that has 30.5 of the distribution's area to its left

A: Given, z-score = 30.5

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Q: Suppose the lengths of human pregnancies are normally distributed with μ=266 days and σ=16 days.…

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