Given that z is a standard normal random variable, compute the following probabilities. (Round your answers to four decimal places.)

1.) P(1.75 z 1.02)

The mean cost of domestic airfares in the United States rose to an all-time high of $385 per ticket. Airfares were based on the total ticket value, which consisted of the price charged by the airlines plus any additional taxes and fees. Assume domestic airfares are normally distributed with a standard deviation of $110.

1. What is the probability that a domestic airfare is $572 or more? (Round your answer to four decimal places.)
2. What is the minimum cost in dollars for a fair to be included in the highest 3% of domestic airfares? (Round your answer to the nearest integer.)

The time needed to complete a final examination in a particular college course is normally distributed with a mean of 80 minutes and a standard deviation of 10 minutes. Answer the following questions.

1. What is the probability that a student will complete the exam in more than 60 minutes but less than 65 minutes? (Round your answer to four decimal places.)

New York City is the most expensive city in the United States for lodging. The mean hotel room rate is $204 per night. Assume that room rates are normally distributed with a standard deviation of $55.

1. What is the probability that a hotel room costs between $200 and $280 per night? (Round your answer to four decimal places.)