   Chapter 6.4, Problem 29E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Quality Control A company manufactures wooden yardsticks. The lengths of the yardsticks are normally distributed with a mean of 36 inches and a standard deviation of 0.2 inch. Use a symbolic integration utility or a graphing utility to find the probability that a yardstick chosen at random is(a) longer than 35.5 inches.(b) longer than 35.9 inches.

(a)

To determine

To calculate: The probability of the yard stick chosen at random is longer than 35.5 inches if the mean length of the yardstick is 36 inches and standard deviation 0.2 inch.

Explanation

Given Information:

The mean length of the yardstick is 36 in, the standard deviation is 0.2 in.

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(35.5,36,0.2, TRUE)” in the cell as shown in the below snip.

Step 3: Once you press enter, the result is obtained as the result is for the 0 to 35.5 in.

Therefore, the probability for

P(0x35

(b)

To determine

To calculate: The probability of the yard stick chosen at random is longer than 35.9 inches, the mean length of the yardstick is 36 inches and standard deviation 0.2 inch.

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