SOLUTION: A safety light is designed so that the times between flashes are normally distributed with a mean of 4.00 seconds and a standard deviation of .50 seconds.
a. Find the probability
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a. Find the probability
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Question 445516: A safety light is designed so that the times between flashes are normally distributed with a mean of 4.00 seconds and a standard deviation of .50 seconds.
a. Find the probability that an individual time is greater than 4.50 seconds
b. Find the probability that the mean for 50 randomly selected times is greater than 4.50 seconds
c. Is part a or b more significant (being light) due to the importance of a sample OR SINGLE strobe? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A safety light is designed so that the times between flashes are normally distributed with a mean of 4.00 seconds and a standard deviation of .50 seconds.
a. Find the probability that an individual time is greater than 4.50 seconds
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z(4.5) = (4.5-4)/0.5 = 1
P(x >4.5) = P(z > 1) = 0.1587
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b. Find the probability that the mean for 50 randomly selected times is greater than 4.50 seconds
z(4.5) = (4.5-4)/[0.5/sqrt(50)} = 7.0711
P(x > 4.5) = P(z > 7.0711) = 7.737x10^-13
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c. Is part a or b more significant (being light) due to the importance of a sample OR SINGLE strobe?
I don't understand that question.
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Cheers,
Stan H.
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