(7 of 10) Consider a variable W with a continuous uniform distribution W-U.(0.3,
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Question
(7 of 10) Consider a variable W with a continuous uniform distribution W-U.(0.3, 7.3) What is the probability that a new randomly drawn case will have a value in the interval (1.3, 3.3)2 TheHeatEquation.a differential equa rm throughout the b 0 1/6 025 1/2 027 O 1/4 O23 Save Answer Skip Question IAm Finished Submit for Grade atics/18 differential elated articles tions... In a metal r nt partial derivatives Note: Clicking any button other than the Save Answer button wil NOT save any changes to your answers!Explanation / Answer
Q7.
UNIFORM DISTRIBUTION
PDF of uniform distribution f(x) = 1 / ( b - a ) for a < x < b
b = maximum Value
a = minimum Value
f(x) = 1/(b-a) = 1 / (7.3-0.3) = 1 / 7 = 0.1429
I.
mean = a + b / 2
=(0.3+7.3)/2
=3.8
II.
standard deviation = sqrt ( ( b - a ) ^ 2 / 12 )
=sqrt(7.3-0.3)^2 / 12
=2.021
To find P(a < X < b) =( b - a ) * f(x)
P(1.3 < X < 3.3) = (3.3-1.3) * f(x)
=2/7
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