Question 417932: The mean of a certain light bulb is 2.5 years with a standard deviation of 0.5 years. If this set of data fits a normal deviation, what is the probability that your light bulb will last between 3.0 and 4.0 years? Explain in words as well as stating the probability, and draw a picture of the appropriate Normal Curve.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The mean of a certain light bulb is 2.5 years with a standard deviation of 0.5 years.
If this set of data fits a normal deviation, what is the probability that your light bulb will last between 3.0 and 4.0 years?
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z(3) = (3-2.5)/0.5 = 1
z(4) = (4-2.5)/0.5 = 3
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P(3 <= x <=4) = P(1<= z <= 3) = 0.1573
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Cheers,
Stan H.
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Explain in words as well as stating the probability, and draw a picture of the appropriate Normal Curve.
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