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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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Quality Control A company manufactures compact fluorescent light bulbs. The life spans of the light bulbs are normally distributed with a mean of 9000 hours and a standard deviation of 500 hours. Use a symbolic integration utility or a graphing utility to find the probability that a light bulb chosen at random has a life span that is

(a) 8000 hours or longer.

(b) 11,000 hours or longer.

(a)

To determine

To calculate: The probability of fluorescent bulb which has life longer than 8000 hours.

Explanation

Given Information:

The mean life of the fluorescent light bulb is 9000 hours and the standard deviation is 500 hours and the probability for the fluorescent bulb is to be more than 8000 hours.

Calculation:

Use excel to find the probability. Steps to use excel is as follows:

Step 1: Add the function “NORM.DIST” in the excel.

Step 2: Add the values of the “x”, mean, standard deviation and cumulative as “=NORM.DIST(8000,9000,500, TRUE)” in the cell as shown in the below snip.

Step 3: Once you press enter, the result is obtained as the results for the 0 to 8000 hours.

Therefore, the probability for

P(0x8000)=0

(b)

To determine

The probability of fluorescent bulb which has life longer then 11000 hours.

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