Question: Answer the questions about the specified normal distribution.

a. The lifetime of ZZZ batteries are normally distributed with a mean of 265 hours and a standard deviation \(\sigma \) of 10 hours. Find the number of hours that represent the 40th percentile. (3 points)

b. Scores on an English placement test are normally distributed with a mean of 36 and standard deviation \(\sigma \) of 6.5. Find the score that marks the top 5%. (3 points)