standard deviation to ge the probablity of at least 3/4 of water consumption.

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I have a hard time figuring it out. Kindly explain in b, why the interpretatoon of chebyshev's theorem uses mean + 2 standard deviation to ge the probablity of at least 3/4 of water consumption. Thank you

@69% 4
© 69%
12:51 AM Wed Oct 27
12. In a certain city, the daily consumption of water (in millions of liters) follows
approximately a gamma distribution with a = 2 and B = 3. If the daily capacity of that city is
9 million liters of water, what is the probability that on any given day the water supply is
inadequate?
a) Find the mean and variance of the daily water consumption
b) According to Chebyshev's theorem, is there a probability of at least 4 of the water
consumption on any given day will fall within the interval?
GIVEN:
Pox) =.
-0.199)
2-1
f(x;2,3)3D
a) M=db=GM Liteo
P (*79) = t p (x Lq)
9.)
「い
ke
こdp. 2x9- 18 . グ=JR
こ|-
2-1
v)Mt20 ニ6きeh8
も2r
15
15
, 21:48
-04:57
Transcribed Image Text:@69% 4 © 69% 12:51 AM Wed Oct 27 12. In a certain city, the daily consumption of water (in millions of liters) follows approximately a gamma distribution with a = 2 and B = 3. If the daily capacity of that city is 9 million liters of water, what is the probability that on any given day the water supply is inadequate? a) Find the mean and variance of the daily water consumption b) According to Chebyshev's theorem, is there a probability of at least 4 of the water consumption on any given day will fall within the interval? GIVEN: Pox) =. -0.199) 2-1 f(x;2,3)3D a) M=db=GM Liteo P (*79) = t p (x Lq) 9.) 「い ke こdp. 2x9- 18 . グ=JR こ|- 2-1 v)Mt20 ニ6きeh8 も2r 15 15 , 21:48 -04:57
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