Question

8. A phone maker claims that its phones’ batteries last for 13.22 hours on average with...

8. A phone maker claims that its phones’ batteries last for 13.22 hours on average with standard usage with a standard deviation of 0.57 hours.

(a) If we accept that claim, what is the probability that a battery lasts between 12 and 14 hours?

(b) Find the 65th percentile for the battery lives- that is, a time for which 65% of the

batteries last less than that time.

(c) The company has just tested 29 devices. Find the probability that the mean battery life of the 29 phones is less than 13.5 hours

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