Question

Annual incomes for heads of household in a section of a city have approximately a gamma distribution with $\alpha = 25$ and $\beta = 1,500$. (a) Use R to find the mean of these incomes. Use R to find the variance of these incomes. (b) Use R to calculate the proportion of heads of households in this section of the city that have incomes in excess of $50,000. (Round your answer to five decimal places.)

          Annual incomes for heads of household in a section of a city have approximately a gamma distribution with \(\alpha = 25\) and \(\beta = 1,500\).
(a) Use R to find the mean of these incomes.
Use R to find the variance of these incomes.
(b) Use R to calculate the proportion of heads of households in this section of the city that have incomes in excess of $50,000. (Round your answer to five
decimal places.)

Annual incomes for heads of household in a section of a city have approximately a gamma distribution with α = 25 and β = 1,500.
(a) Use R to find the mean of these incomes.
Use R to find the variance of these incomes.
(b) Use R to calculate the proportion of heads of households in this section of the city that have incomes in excess of 50,000. (Round your answer to five
decimal places.)

Added by Tammy C.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Madhur L

07/27/2023

Step 1

Step 1: The mean of a gamma distribution is given by $\alpha\beta$. Show more…

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Annual incomes for heads of household in a section of a city have approximately a gamma distribution with $\alpha = 25$ and $\beta = 1,500$. (a) Use R to find the mean of these incomes. Use R to find the variance of these incomes. (b) Use R to calculate the proportion of heads of households in this section of the city that have incomes in excess of $50,000$. (Round your answer to five decimal places.) Need Help? Read It Submit Answer