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The attention span of toddlers when watching a particular TV show is exponentially distributed with a...

The attention span of toddlers when watching a particular TV show is exponentially distributed with a mean of 8 minutes. Suppose X is the random variable equal to the attention span (in minutes) of a randomly chosen toddler while watching the TV show.

Suppose a simple random sample of 60 toddlers has their attention span measured while watching the TV show. Use an appropriate version of the CENTRAL LIMIT THEOREM to find the probability (rounded to four decimal places) that the sample mean will be greater than 10 minutes.
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