Research suggests that the probability of a certain fuse malfunctioning increases exponentially as the concentration of an impurity in the fuse increases. The probability is modeled by the function y = 8(257932), where x is the impurity concentration, and y, given as a percent, is the probability of the fuse malfunctioning. Find the probability of the fuse malfunctioning for an impurity concentration of 0.15. Round to the nearest percent. ⒸA. 52% B. 35% D. 31%

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Research suggests that the probability of a certain fuse malfunctioning increases exponentially as the concentration of an impurity in the fuse increases. The probability is modeled by the function \( y = 8(257932)^x \), where \( x \) is the impurity concentration, and \( y \), given as a percent, is the probability of the fuse malfunctioning.

Find the probability of the fuse malfunctioning for an impurity concentration of 0.15. Round to the nearest percent.

Options:
- A. 52%
- B. 35%
- C. 6%
- D. 31%
Transcribed Image Text:Research suggests that the probability of a certain fuse malfunctioning increases exponentially as the concentration of an impurity in the fuse increases. The probability is modeled by the function \( y = 8(257932)^x \), where \( x \) is the impurity concentration, and \( y \), given as a percent, is the probability of the fuse malfunctioning. Find the probability of the fuse malfunctioning for an impurity concentration of 0.15. Round to the nearest percent. Options: - A. 52% - B. 35% - C. 6% - D. 31%
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