f(r) = - (10-)²] 0 9 ≤rs 11 otherwise m. However, the radius of the resulting regio What is the expected area of the resulting circular region? (Round your answer to two decimal places.) m²

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Chapter1: Combinatorial Analysis
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5.
6.
Tey compote pr.
DETAILS
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.
20¹
(10-r)²]
f(r) =
DEVORESTAT9 4.2.021.
DETAILS
0
What is the expected area of the resulting circular region? (Round your answer to two decimal places.)
m²
9 ≤r≤ 11
otherwise
DEVORESTAT9 4.3.037.S.
Suppose that blood chloride concentration (mmol/L) has a normal distribution with mean 104 and standard deviation 2.
AUSE SALT
(a) What is the probability that chloride concentration equals 1057 Is less than 1057 Is at most 105? (Round your answers to four decimal places.)
equals 105
less than 105
at most 105
(b) What is the probability that chloride concentration differs from the mean by more than 1 standard deviation? (Round your answer to four decimal places.)
Does this probability depend on the values of u and of
Transcribed Image Text:5. 6. Tey compote pr. DETAILS 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. 20¹ (10-r)²] f(r) = DEVORESTAT9 4.2.021. DETAILS 0 What is the expected area of the resulting circular region? (Round your answer to two decimal places.) m² 9 ≤r≤ 11 otherwise DEVORESTAT9 4.3.037.S. Suppose that blood chloride concentration (mmol/L) has a normal distribution with mean 104 and standard deviation 2. AUSE SALT (a) What is the probability that chloride concentration equals 1057 Is less than 1057 Is at most 105? (Round your answers to four decimal places.) equals 105 less than 105 at most 105 (b) What is the probability that chloride concentration differs from the mean by more than 1 standard deviation? (Round your answer to four decimal places.) Does this probability depend on the values of u and of
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