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Question 12, 11.1.47-LS HW Score: \( 64 \%, 9.6 \) of 15 Part 2 of 4 points Points: 0 of 1 Save Researchers who study the abundance of a certain beetle have developed a probability density function that can be used to estimate the abundance of the beetle in a population. The density function, which is a member of the gamma distribution, is below, where \( x \) is the size of the population. Complete parts (a) and (b) below. \[ f(x)=1.185 \times 10^{-9} x^{4.5222} e^{-0.049846 x} \] (a) Estimate the probability that a randomly selected insect population is between 0 and 110 . Set up the integral. \[ \int_{0}^{110} 1.1851 \cdot 10^{-9} x^{4.5222} e^{-0.049846 x} d x \] The probability is approximately \( \square \) (Do not round until the final answer. Then round to four decimal places as needed.) View an example Get more help - Clear all Check answer

          Question 12, 11.1.47-LS
HW Score: \( 64 \%, 9.6 \) of 15
Part 2 of 4
points
Points: 0 of 1
Save
Researchers who study the abundance of a certain beetle have developed a probability density function that can be used to estimate the abundance of the beetle in a population. The density function, which is a member of the gamma distribution, is below, where \( x \) is the size of the population. Complete parts (a) and (b) below.
\[
f(x)=1.185 \times 10^{-9} x^{4.5222} e^{-0.049846 x}
\]
(a) Estimate the probability that a randomly selected insect population is between 0 and 110 .

Set up the integral.
\[
\int_{0}^{110} 1.1851 \cdot 10^{-9} x^{4.5222} e^{-0.049846 x} d x
\]

The probability is approximately \( \square \)
(Do not round until the final answer. Then round to four decimal places as needed.)
View an example
Get more help -
Clear all
Check answer

Question 12, 11.1.47-LS
HW Score: 64 %, 9.6 of 15
Part 2 of 4
points
Points: 0 of 1
Save
Researchers who study the abundance of a certain beetle have developed a probability density function that can be used to estimate the abundance of the beetle in a population. The density function, which is a member of the gamma distribution, is below, where x is the size of the population. Complete parts (a) and (b) below.

f(x)=1.185 × 10^-9 x^4.5222 e^-0.049846 x

(a) Estimate the probability that a randomly selected insect population is between 0 and 110 .

Set up the integral.

∫0^110 1.1851 · 10^-9 x^4.5222 e^-0.049846 x d x

The probability is approximately □
(Do not round until the final answer. Then round to four decimal places as needed.)
View an example
Get more help -
Clear all
Check answer

Added by Alec W.

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