Answer:
The expected value of the random variable with the given probability distribution = 12 .52
Step-by-step explanation:
Given data
x : 0 1 5 10 1000
p(x) : 0.33 0.32 0.24 0.10 0.01
<em>The expected value of the given random variable of given probability distribution</em>
<em>E(X) = ∑ x p ( X = x)</em>
E(X) = 0 × 0.33 + 1 × 0.32 + 5 × 0.24 + 10× 0.10 + 1000×0.01
<em>E (X) = 12.52</em>
Answer: Suppose we have four ants, initially at rest, at the four corners of a square centered at the origin. They start walking clockwise, each ant walking directly toward the one in front of him. Suppose also that each ant walks with unit velocity, derive a differential equation that describes the trajectories.
Answer:
r = -1
Step-by-step explanation:
(y2-y1)/(x2-x1)=m
(r,7)=(x1,y1) and (3,4)=(x2-y2) and m=-3/5
so plug in...
(4-7)/(4-r)=-3/5
then solve for r which will get that r = -1
numerator: 4-7=-3
denominator: 4-r=5 -> 4-5=0+r -> -1=r
Step-by-step explanation:
=> -3x - 4 = -5y - 8
=> 8 - 4 = 3x - 5y
=> 4 = 3x + (-5)y
=> 1 = (3x/4) + (-5y/4)
=> 1 = x/(4/3) + y/(-4/5)
Compare this with x/a + y/b = 1 where a and b are x & y intercepts.
Here,
x intercept = 4/3
y intercept = -4/5