June, Brian and Natasha share £40 in a ratio 1:2:2. How much money does each person get please I need help
1 answer:
June gets £ 8 and Brian gets £ 16 and Natasha gets £ 16
<em><u>Solution:</u></em>
Given that,
June, Brian and Natasha share £40 in a ratio 1 : 2 : 2
Let the share of June be 1x
Let the share of Brian be 2x
Let the share of Natasha be 2x
Total amount = 40
Therefore, we can say,
share of June + share of Brian + share of Natasha = 40
Thus we get,
Share of June = 1x = 8
Share of Brian = 2x = 2(8) = 16
Share of Natasha = 2x = 2(8) = 16
Thus June gets £ 8 and Brian gets £ 16 and Natasha gets £ 16
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The final answer is:
a) P( Y < 42.5 ) = 0.8541
b) P( 39.5 < Y < 40.5 ) = 0.1670.
What is the normal distribution?
A continuous probability distribution for a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.
If x follows a normal distribution with mean μ and standard deviation σ then the distribution of
follows an approximately normal distribution with a mean
and standard deviation
let x be the height of blades of grass
x follows normal distribution with mean = μ = 4 and standard deviation = σ = 0.75.
Y = x1 + x2 +...........+x10
Distribution of Y is normal with,
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a)
P( Y < 42.5 )
Using normal distribution formmula,
=NORMDIST( x, mean, SD , 1 )
=NORMDIST(42.5, 40, 2.3717, 1 )
=0.8541
P( Y < 42.5 ) = 0.8541
b)
P( 39.5 < Y < 40.5 ) = P( Y < 40.5 ) - P( Y < 39.5 )
Using normal distribution formmula,
P( Y < 40.5 ) =NORMDIST(40.5, 40, 2.3717, 1 ) = 0.5835
P( Y < 39.5 ) = NORMDIST(39.5, 40, 2.3717, 1 ) = 0.4165
P( 39.5 < Y < 40.5 ) = 0.5835 - 0.4165 = 0.1670
P( 39.5 < Y < 40.5 ) = 0.1670
Hence, the final answer is:
a) P( Y < 42.5 ) = 0.8541
b) P( 39.5 < Y < 40.5 ) = 0.1670.
To learn more about the normal distribution visit,
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