Question

In a certain town, the daily consumption of natural gas (in millions of m^3 ) follows approximately a gamma distribution with \alpha = 2 and \beta = 4. If the daily capacity of that town is 8 million m^3 of natural gas, what is the probability that on any given day the natural gas supply is inadequate?

Name: in a certain town the daily consumption of natural gas in millions of m3 follows approximately a gamma distribution with alpha 2 and beta 4 if the daily capacity of that town is 8 million m3 85017
Uploaded: 2022-01-04T10:39:09-08:00
Duration: 2 min 18 s
Channel: Amany Waheeb
Description: in a certain town the daily consumption of natural gas in millions of m3 follows approximately a gamma distribution with alpha 2 and beta 4 if the daily capacity of that town is 8 million m3 85017

          In a certain town, the daily consumption of natural gas (in millions of m^3 ) follows approximately a
gamma distribution with \alpha  = 2 and \beta  = 4. If the daily capacity of that town is 8 million m^3 of natural gas, what
is the probability that on any given day the natural gas supply is inadequate?

Added by Debra G.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Amany Waheeb

01/04/2022

Step 1

In this case, it is used to model the daily consumption of natural gas. The distribution is characterized by two parameters: α (alpha) and β (beta). The probability density function (pdf) of a gamma distribution is given by: \[ f(x; \alpha, \beta) = Show more…

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In a certain town, the daily consumption of natural gas (in millions of m^3 ) follows approximately a gamma distribution with \alpha = 2 and \beta = 4. If the daily capacity of that town is 8 million m^3 of natural gas, what is the probability that on any given day the natural gas supply is inadequate?