Question
The distribution of battery life of MacBook laptops is normally distributed with a mean of 8.1 hours and a standard deviation of 1.3 hours. The
The distribution of battery life of MacBook laptops is normally distributed with a mean of 8.1 hours and a standard deviation of 1.3 hours. The distribution of Dell laptops is normally distributed with a mean of 6.8 hours with a standard deviation of 0.9 hours.
a. Calculate the probability that a randomly selected MacBook laptop battery lasts more than 9 hours.
b. Calculate the probability that a randomly selected Dell laptop battery lasts between 6 and 8 hours.
c. How long must a MacBook laptop battery last to be in the top 3%?
d. How long must a Dell laptop battery last to be at the 30th percentile?
e. Calculate the probability that a randomly selected MacBook laptop lasts longer than the 25th percentile of Dell laptops.
f. Calculate the probability of a MacBook lasting more than 8.5 hours and calculate the probability of a Dell lasting more than 8.5 hours.
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