Respuesta :
The phone battery lasts at least 4 hours and 45 minutes is 84%.
What is normal distribution of data?
A normal distribution is a probability distribution that is perfectly symmetrical around its mean (center), showing that data near the mean are more frequent in occurrence than data far from the mean. In graph form, normal distribution will appear as a bell curve.
For the given situation,
The normally distribution has a mean of 5 hours and a standard deviation of 15 minutes.
50% of the normal distribution lies to the right of the mean. So, the battery will last longer than 5 hours.
The interval from 4 hours and 45 minutes and 5 hours represents one standard deviation to the left of the mean.
So, about 34% of time, the battery will last between 4 hours and 45 minutes and 5 hours.
Thus, the probability that the battery lasts at least 4 hours and 45 minutes,
⇒ [tex]50+34[/tex]
⇒ [tex]84[/tex]
Hence we can conclude that the phone battery lasts at least 4 hours and 45 minutes is 84%.
Learn more about the normal distribution here
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