a wire of length a units is divided into two parts.if part of a random length X is uniformly distributed,then find E(X(a-X))
a wire of length a units is divided into two parts.if part of a random length...
1. (a) A point is selected at random on the unit interval, dividing it into two pieces with total length 1. Find the probability that the ratio of the length of the shorter piece to the length of the longer piece is less than 1/4. 3 marks (b) Suppose X1 and X2 are two iid normal N(μ, σ*) variables. Define Are random variables V and W independent? Mathematically justify your answer 3 marks (c) Let C denote the unit circle...
1. (a) A point is selected at random on the unit interval, dividing it into two pieces with total length 1. Find the probability that the ratio of the length of the shorter piece to the length of the longer piece is less than 1/4 3 marks (b) Suppose X, and X2 are two iid normal N(μ, σ2) variables. Define Are random variables V and W independent? Mathematically justify your answer. 3 marks] (c) Let C denote the unit circle...
(1 point) Two points are selected randomly on a line of length 10 so as to be on opposite sides of the midpoint of the line. In other words, the two points X and Y are independent random variables such that X is uniformly distributed over [0,5) and Y is uniformly distributed over (5, 10]. Find the probability that the distance between the two points is greater than 2. answer:
Constants Part A A straight, nonconducting plastic wire 7.00 cm long carries a charge density of 125 nC/m distributed uniformly along its length. It is lying on a horizontal tabletop. Find the magnitude and direction of the electric field this wire produces at a point 5.00 cm directly above its midpoint. E: N/C Submit Request Answer Part B O electric field is directed upward O electric field is directed downward Submit Request Answer We were unable to transcribe this image
Part A A 270-m length of wire stretches between two towers and carries a 145-A current. Determine the magnitude of the force on the wire due to the Earth’s magnetic field of 5.0 ×10−5Twhich makes an angle of 64 ∘ with the wire. Express your answer to two significant figures and include the appropriate units. F =
(1 point) Two points are selected randomly on a line of length 16 so as to be on opposite sides of the midpoint of the line. In other words, the two points X and Y are independent random variables such that X is uniformly distriuted over [0,8) and Y is uniformly distributed over (8,16] Find the probability that the distance between the two points is greater than 6. P(|X – Y| > 6) =
A solenoid is made from a 26-m length of wire of resistivity 2 4x10-8 Ω·m The wire, whose radius is 2.0 mm, is wrapped uniformly onto a plastic tube 4.6 cm in diameter and 1.65 m long Part A Find the emf to which the ends of the wire must be connected to produce a magnetic field of 1.6x10-2 T within the solenoid Express your answer using two significant figures. E- Submit Provide Feedback Next
A straight, nonconducting plastic wire 8.50 cm long carries a charge density of 100 nC/m distributed uniformly along its length. It is lying on a horizontal tabletop. Part C If the wire is now bent into a circle lying flat on the table, find the magnitude and direction of the electric field it produces at a point 4.50 cm directly above its center.
(Figure 1)A charged wire of negligible thickness has length 2L units and has a linear charge density λ. Consider the electric field E at the point P, a distance d above the midpoint of the wire. gure 1 of 2L What is the magnitude E of the electric field at point P? Throughout this part, express your answers in terms of the constant k, defined by k L- Express your answer in terms of L, X, d, and k.
A charged wire of negligible
thickness has length 2L units and has a linear charge density
lambda. Consider the electric field E-vector at the point P, a
distance d above the midpoint of the wire.
The field E-vector points along one of the primary axes, y
What is the magnitude of the electric field at point ? Throughout this part, express your answers in terms of
the constant , defined by