The lifetime of a bulb is modeled as a Poisson variable. You have two bulbs types A and B with expected lifetime 0.25 years and 0.5 years, respectively. When a bulb's life ends, it stops working. You start with new bulb of type A at the start of the year. When it stops working, you replace it with a bulb of type B. When it breaks, you replace with a type A bulb, then a type B bulb, and so on.

The lifetime of a bulb is modeled as a Poisson variable. You have two bulbs types A and B with expected lifetime 0.25 years and 0.5 years, respectively. When a bulb's life ends, it stops working. You start with new bulb of type A at the start of the year. When it stops working, you replace it with a bulb of type B. When it breaks, you replace with a type A bulb, then a type B bulb, and so on.

Name: The lifetime of a bulb is modeled as a Poisson variable. You have two
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: The lifetime of a bulb is modeled as a Poisson variable. You have two bulbs typesA and B with expected lifetime 0.25 years and 0.5 years, respectively. When abulb's life ends, it stops working. You start with new bulb of type A at the start ofthe ye

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter1: Functions

Section1.2: The Least Square Line

Problem 1E

See similar textbooks

Similar questions

Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.
The lifetime of a bulb is modeled as a Poisson variable. You have two bulbs typesA and B with expected lifetime 0.25 years and 0.5 years, respectively. When abulb’s life ends, it stops working. You start with new bulb of type A at the start ofthe year. When it stops working, you replace it with a bulb of type B. When itbreaks, you replace with a type A bulb, then a type B bulb, and so on. 1. Find the expected total illumination time (in years), given you do exactly 3bulb replacements.2. Your replacements are now probabilistic. If your current bulb breaks, youreplace it with a bulb of type A with probability pp, and with type B withprobability (1 – pp). Find the expected total illumination time (in years),given you do exactly nn bulb replacements, and start with bulb of type A.Answer for part 2 exists in closed form in terms of n and p.
The lifetime of a bulb is modeled as a Poisson variable. You have two bulbs types A andB with expected lifetime 0.25 years and 0.5 years, respectively. When a bulb’s life ends, it stops working. You start with new bulb of type A at the start of the year. When it stopsworking, you replace it with a bulb of type B. When it breaks, you replace with a type Abulb, then a type B bulb, and so on.1. Find the expected total illumination time (in years), given you do exactly 3 bulb re-placements2. Your replacements are now probabilistic. If your current bulb breaks, you replaceit with a bulb of type A with probability p, and with type B with probability (1 –p). Find the expected total illumination time (in years), given you do exactly n bulbreplacements, and start with bulb of type A
The lifetime of a bulb is modeled as a Poisson variable. You have two bulbs types A and B with expected lifetime 0.25 years and 0.5 years, respectively. When a bulb’s life ends, it stops working. You start with new bulb of type A at the start of the year. When it stops working, you replace it with a bulb of type B. When it breaks, you replace with a type A bulb, then a type B bulb, and so on. 1. Find the expected total illumination time (in years), given you do exactly 3 bulb replacements. 2. Your replacements are now probabilistic. If your current bulb breaks, you replace it with a bulb of type A with probability p, and with type B with probability (1 – p). Find the expected total illumination time (in years), given you do exactly nn bulb replacements, and start with bulb of type A. Answer for part 2 exists in closed form in terms of n and p.
The problem of traffic delay in a highway can be studied in the following way. Let us assume that the probability of no traffic delay in one period, given no traffic delay in previous period, is 0.85 and that the probability of finding a traffic delay in one period, given a delay in the previous period is 0.75. The period of time is 30 minutes. Define the approach that should be used to solve the problem and identify all your inputs of the model.
Malak is designing an experiment. In this experiment, he wants know if "learning about sustainable investing" actually causes people to invest more sustainably. He sets up an experiment with two groups: one group receives a course on sustainable investing , the other group does not . Then, over the course of the next 10 years, sustainable investing behavior is measured (so as a researcher Malak keeps track of the participants ' investing behavior with their own money in their life, at yearly intervals , for one decade ). What type of experiment is this ? Solomon four group design longitudinal experiment None of the listed answers is correct one shot case study before -after with control group design
virus is that these cells die. In this study of the effectiveness of a new anti-viral drug on HIV, 20 HIV-positive patients had their CD4 counts recorded (“Baseline”) and then were put on a course of treatment with this drug. After using the drug for one year, their CD4 counts were again recorded (“OneYear”). The aim was to show that patients taking the drug had increased CD4 counts which is not generally seen in HIV-positive patients. Baseline OneYear 2.12 2.47 4.35 4.61 3.39 5.26 2.51 3.02 4.04 6.36 5.1 5.93 3.77 3.93 3.35 4.09 4.1 4.88 3.35 3.81 4.15 4.74 3.56 3.29 3.39 5.55 1.88 2.82 2.56 4.23 2.96 3.23 2.49 2.56 3.03 4.31 2.66 4.37 3.00 2.40 r = 0.7232 What is the least squares equation of the fitted regression line? OneYear = In terms of the above, what would be the null hypothesis to test the association between…
In a certain city, projections fo the next year indicate there is a 20% chance the electronics jobs will increase by 1200, a 50% chance that they will increase by 500 and a 30% chance they will decrease by 800. Find the expected change in the number of electronics jobs in that city in the next year.
a.State the predictors available in this model.
A grasshopper hops between three flowers labeled 1, 2, 3. It starts from flower 1. Once it arrives at a flower, it sits there for a period of time distributed exponentially with parameter 2. Then it makes a jump, as follows: if it is located on flower 1, it jumps to 2 or 3 with equal probability; if it is located at 2, it jumps to 3, and if it is at 3, it jumps to 2. (a) Model the grasshopper using a continuous-time Markov chain. Find the states, the initial distribution, and the jump rates! (b) What is the probability that at time t the grasshopper will sit on the third flower?
CD4 cells are carried in the blood as part of the human immune system. One of the effects of the HIV virus is that these cells die. In this study of the effectiveness of a new anti-viral drug on HIV, 20 HIV-positive patients had their CD4 counts recorded (“Baseline”) and then were put on a course of treatment with this drug. After using the drug for one year, their CD4 counts were again recorded (“OneYear”). The aim was to show that patients taking the drug had increased CD4 counts which is not generally seen in HIV-positive patients. Baseline OneYear 2.12 2.47 4.35 4.61 3.39 5.26 2.51 3.02 4.04 6.36 5.1 5.93 3.77 3.93 3.35 4.09 4.1 4.88 3.35 3.81 4.15 4.74 3.56 3.29 3.39 5.55 1.88 2.82 2.56 4.23 2.96 3.23 2.49 2.56 3.03 4.31 2.66 4.37 3.00 2.40 1) What is the correlation between baseline and one year CD4 counts?
Can you give a scenario for e and f please?