You may need to use the appropriate appendix table or technology to answer this question. A group conducted a survey of 13,000 brides and grooms married in the United States and found that the average cost of a wedding is $22,858. Assume that the cost of a wedding is normally distributed with a mean of $22,858 and a standard deviation of $5,300. (a) What is the probability that a wedding costs less than $19,000? (Round your answer to four decimal places.)   (b) What is the probability that a wedding costs between $19,000 and $31,000? (Round your answer to four decimal places.)   (c) What is the minimum cost (in dollars) for a wedding to be included among the most expensive 5% of weddings? (Round your answer to the nearest dollar.) $

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You may need to use the appropriate appendix table or technology to answer this question.
A group conducted a survey of 13,000 brides and grooms married in the United States and found that the average cost of a wedding is $22,858. Assume that the cost of a wedding is normally distributed with a mean of $22,858 and a standard deviation of $5,300.
(a)
What is the probability that a wedding costs less than $19,000? (Round your answer to four decimal places.)
 
(b)
What is the probability that a wedding costs between $19,000 and $31,000? (Round your answer to four decimal places.)
 
(c)
What is the minimum cost (in dollars) for a wedding to be included among the most expensive 5% of weddings? (Round your answer to the nearest dollar.)
$
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