1. 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 $29,858. Assume that the cost of a wedding is normally distributed with a mean of $29,858 and a standard deviation of $5,400.

(a) What is the probability that a wedding costs less than $20,000? (Round your answer to four decimal places.)

(b) What is the probability that a wedding costs between $20,000 and $30,000? (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.)

2. Intensive care units (ICUs) generally treat the sickest patients in a hospital. ICUs are often the most expensive department in a hospital because of the specialized equipment and extensive training required to be an ICU doctor or nurse. Therefore, it is important to use ICUs as efficiently as possible in a hospital. Suppose that a large-scale study of elderly ICU patients shows that the average length of stay in the ICU is 3.6 days. Assume that this length of stay in the ICU has an exponential distribution. (Round your answers to four decimal places.)

(a) What is the probability that the length of stay in the ICU is one day or less?

(b) What is the probability that the length of stay in the ICU is between two and three days?

(c) What is the probability that the length of stay in the ICU is more than five days?