Please answer both parts of Question 1. Please show all work and all steps.
1.) In a room, there is a lightbulb with lifetime that is independently identically distributed with 4 months as the mean. A custodian enters to check the lightbulb at a rate 2 (per month) Poisson processes and will replace the lightbulb when it stops working.
a.) What is the rate for replacing the lightbulb?
b.) What is the limiting fraction of time that the light bulb can work?
We have given information:
Mean lifetime of the bulb (µ) = 4 months or 120 days
Lightbulb check rate (h) = 2 times per month or 24 times per year
We will perform the calculations by Considering 365 days in a year
A. The rate for replacing the lightbulb can be calculated as follows:

B. The limiting fraction of time that light bulb can work can be calculated as:
Please answer both parts of Question 1. Please show all work and all steps. 1.) In...
A light bulb in a room has a lifetime that is independent identically distributed with a mean of 4 months. A janitor comes at times of a rate 2 (per month) Poisson processes to check the bulb and will replace the bulb immediately if it burns out. (1) What is the rate for replacing a bulb? (2) What is the limiting fraction of time that the light bulb works?
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If a "75-W" bulb is connected across a 220-V potential difference (as is used in Europe), how much power does it dissipate? Ignore the temperature dependence of the bulb's resistance. 9.
Please answer #2 A and B for the Lightbulb problem
"dy", etc. (a). The marginal density, fr (y), of Y. (Be explicit about all cases.) (b). P(X > 0.1 IY 0.5) (c), E(X | Y 0.5) 2x +2y ) dy 3y: if 0 y < 1, and 0 otherwise 0.1 r2x +2 (0.5) (3) 0.5 dx 64/75 2x +2(0.5) (3)0.52 dx- 5/18 2. Let Y be the lifetime, in minutes, of a lightbulb. Assume that the lightbulb has an expected...
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Question 1 (14 pts.) Give the IUPAC name for the following structure.
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The definition of resistivity (ρ= E') implies that an electric field exists inside a conductor. In the chapter on electrostatics we saw that there can be no electric field inside a conductor. contradiction? Explain why it is or isn't a contradiction. 5. Isn't that a
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2. Two long parallel wires are separated by a distance of 2.25 cm. The force per unit length that each wire exerts on the other is 6.00 x 105 N/m, and the wires repel each other. The current in one wire is 4.25 A. a) What is the current in the second wire? b) Are the two currents in the same...
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Find a function r(t) for the line passing through the points P(0,0,0) and Q(3,4,1). Express your answer in terms of i, j, and k. r(t) = 3ti + + k, for
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neat work and picure //orfand
25. Using a combination of the delay and modulation properties, and showing all work, determine the Fourier transform G(w) of the following time signal, where to, Wo are given constants:
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