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(b) When Vera Wang was the design director of Ralph Lauren Women's Wear, she was surprised to find that wedding dresses cost an average of

(b) When Vera Wang was the design director of Ralph Lauren Women's Wear, she was surprised to find that wedding dresses cost an average of $4,000. So, she opened her own business - Vera Wang Bridal House - and sells designer-label wedding dresses for an average retail price of $3,800.

(i) Assume that the price of Vera Wang's designer-label wedding dresses is normally distributed with a standard deviation of $500. What is the probability that a randomly selected wedding dress costs more than $4,500?

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