Endure All, a manufacturer of batteries claims that the lifetime of their batteries is normally distributed with a mean of 500 hours and a standard deviation of 40 hours. What is the probability that an Endure All battery selected at random will last more than 550 hours?
0.1587
0.1056
0.8944
0.8849
0.1151
None of the above.

Step 1 ：Calculate the Z-score using the formula: \(Z = \frac{X - \mu}{\sigma}\)

Step 2 ：Substitute the given values into the formula: \(Z = \frac{550 - 500}{40} = 1.25\)

Step 3 ：Look up the probability that the Z-score is less than 1.25 in the standard normal distribution table (Z-table), which is approximately 0.8944

Step 4 ：Calculate the probability that the Z-score is more than 1.25 using the formula: \(1 - P(Z < 1.25)\)

Step 5 ：Substitute the value from the Z-table into the formula: \(1 - 0.8944 = 0.1056\)

Step 6 ：\(\boxed{0.1056}\) is the probability that an Endure All battery selected at random will last more than 550 hours