Question

Asked Oct 16, 2019

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The lifetime of a particular component is normally distributed with a mean of 1000 hours and a standard deviation of 100 hours. Find the probability that a randomly drawn component will last between 800 and 950 hours.

Step 1

**Introduction:**

Let *X* denotes the lifetime of a particular component is normally distributed with mean of 1000 hours and standard deviation 100 hours. Here, *X* ~ *N* (*μ* = 1000, *σ* = 100).

Let *X* ~ *N* (*μ*, *σ*), then the standard *z*-score is found using the formula given below:

Step 2

**The probability that all component are between 800 an...**

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