Question

A laptop company claims up to 11.0 hours of wireless web usage for its newest laptop battery life. However, reviews on this laptop shows many complaints about low battery life. A survey on battery life reported by customers shows that it follows a normal distribution with mean 10.5 hours and standard deviation 27 minutes. (a) What is the probability that the battery life is at least 11.0 hours? Round your answer to four decimal places (e.g. 98.7654) (b) What is the probability that the battery life is less than 10.0 hours? Round your answer to four decimal places (e.g.98.7654) (c) What is the time of use that is exceeded with probability 0.97 Round your answer to two decimal places (e.g. 98.76). The time of use that is exceeded with probability 0.9 is

Answer 1

Answer:

Step-by-step explanation:

given that a  laptop company claims up to 11.0 hours of wireless web usage for its newest laptop battery life. However, reviews on this laptop shows many complaints about low battery life. A survey on battery life reported by customers shows that it follows a normal distribution with mean 10.5 hours and standard deviation 27 minutes.

convert into same units into hours.

X is N(10.5, 0.45)

a)  the probability that the battery life is at least 11.0 hours

$P(X\geq 11)\\\\=1-0.8667\\=0.1333$

(b)  the probability that the battery life is less than 10.0 hours

=$P(X$

(c)  the time of use that is exceeded with probability 0.97

=97th percentile

= 11.844

d)  The time of use that is exceeded with probability 0.9 is

is 90th percentile = 10.885