5. The lifetime of a Super Brand AAA battery is normally distributed with mean = 34.5 hours and standard deviation = 4.8 hours.

(a) Sketch the distribution labeling the mean and three standard deviations above and below the mean. For a battery selected at random, what is the probability that the lifetime will be

(b) 30 hours or less?

(c) 45 hours or more?

(d) between 32 hours and 42 hours?

Draw a sketch for each part with the desired probability shaded and show your calculations. Round z scores to two decimal places and express your answers as percentages rounded to one decimal place.