The length of time which guitar strings made by a certain company last before breaking is distributed normally, with a mean of 30 hours of playing and a standard deviation of 6 hours of playing. [Use the Z-distribution calculator.] la) What percent of guitar strings break between 25 and 35 hours of playing time? Round to the nearest 0.1%. 1b) B21 The company offers a money back guarantee if stings break before a certain number ofplaying hours. The company wants to choose this number of hours such that only 3% of purchased strings will qualify for this money back guarantee. (In other words, only 3% of strings should break before this number of playing hours.) What should be the guaranteed number of playing hours? Round to the nearest 0.1 hour.

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.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 53E
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The length of time which guitar strings made by a certain company last before breaking is distributed normally, with a mean of 30 hours of playing and a standard deviation of 6 hours of playing. [Use the Z-distribution calculator.]

la) What percent of guitar strings break between 25 and 35 hours of playing time? Round to the nearest 0.1%.

1b) B21 The company offers a money back guarantee if stings break before a certain number ofplaying hours. The company wants to choose this number of hours such that only 3% of purchased strings will qualify for this money back guarantee. (In other words, only 3% of strings should break before this number of playing hours.) What should be the guaranteed number of playing hours?

Round to the nearest 0.1 hour.

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