SOLUTION: The purchases made by customers at a convenience store are normally distributed, with a mean of $8.50 and a standard deviation of $6.00. What is the probability that a randomly cho

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Question 872697: The purchases made by customers at a convenience store are normally distributed, with a mean of $8.50 and a standard deviation of $6.00. What is the probability that a randomly chosen customer makes a purchase between $2.50 and $14.50?
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Answer by stanbon(75887) About Me  (Show Source):
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The purchases made by customers at a convenience store are normally distributed, with a mean of $8.50 and a standard deviation of $6.00. What is the probability that a randomly chosen customer makes a purchase between $2.50 and $14.50?
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z(2.5) = (2.5-8.5)/6 = -6/6 =-1
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z(14.5) = (14.5-8.5)/6 = 6/6 = 1
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P(2.5< x < 8.5) = P(-1< z < 1) = 0.6827
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Cheers,
Stan H.
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