SOLUTION: The amount of time spent by adults playing sports per day is normally distributed with a mean 4 hours and standard deviation of 1.25 hours.
1. Find the probability that a random
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1. Find the probability that a random
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Question 1177882: The amount of time spent by adults playing sports per day is normally distributed with a mean 4 hours and standard deviation of 1.25 hours.
1. Find the probability that a randomly selected adult plays sports between 5 and 5.5 hours per day.
2.Find the third quartile of the distribution of time an adult spend in playing sports.
3.Find the probability that if four adults are randomly selected, their average number of hours spent playing sports is more than 5 hours per day Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! z=(x-mean)/sd
between 5 and 5.5 hours is a z between 1/1.25 or 0.8 and a z of 1.5/1.25=1.2
that probability for a z is 0.0968
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third quartile-find z for 0.75 probability, and that is +0.6745
0.6745=(x-4)/1.25
so x=4.84 hours at the third quartile
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this is a z>(5-4)/1.25/sqrt(4)
>1*2/1.25
z>1.6
probability=0.0548