The lifetime of an led in a certain application is normally distributed with a mean μ = 25,000 hours and a standard deviation σ = 1500 hours. a. what is the probability that a light bulb will last more than 24,000 hours?

0.7477

Step-by-step explanation:

The mean(X) = 25,000 hrs

Standard deviation (σ) = 1500 hrs

The probability that the light bulb lasts more than 24,000hrs is Pr (X˃24,000)

Using Z-scores, Z= (X- μ)/σ

For X = 24,000

Z = (24,000 – 25,000)/1500

Z = -1000/1500

Z = -0.667

From the normal distribution table, Z= 0.667 = 0.2477

Φ(Z) = 0.2477

Recall that if Z is negative,

Pr (X˃a) = 0.5 + Φ(Z)

Pr (X˃24,000) = 0.5 + 0.2477

= 0.7477

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation: