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 a additional taxes and fees. ASsume domestic airfares are normally distributed with a standard deviation of $115. Use Table 1 in Appendix B. a. What is the probability that a domestic airfare is $545 or more (to 4 decimals)? 0.0821 b. What is the probability that a domestic airfare is $240 or less (to 4 decimals)? 0.1037 c. What if the probability that a domestic airfare is between $320 and $510 (to 4 decimals)? 0.5775

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**Understanding Probability in Domestic Airfares**

The mean cost of domestic airfares in the United States rose to an all-time high of $385 per ticket. This price includes the total ticket value, consisting of the cost charged by airlines plus any additional taxes and fees. Assuming domestic airfares follow a normal distribution with a standard deviation of $115, you can use statistical analysis to determine probabilities related to airfare costs.

**Probability Questions:**

a. **Probability of a Domestic Airfare $545 or More:**
   - What is the probability that a domestic airfare is $545 or more?
   - **Probability:** 0.0821

b. **Probability of a Domestic Airfare $240 or Less:**
   - What is the probability that a domestic airfare is $240 or less?
   - **Probability:** 0.1037

c. **Probability of a Domestic Airfare Between $320 and $510:**
   - What is the probability that a domestic airfare is between $320 and $510?
   - **Probability:** 0.5775

d. **Cost for the 3% Highest Domestic Airfares:**
   - What is the cost for the top 3% highest domestic airfares (rounded to the nearest dollar)?
   - **Conclusion:** $ **or more

These analyses help assess the likelihood of different fare prices under the assumption of normal distribution. Use statistical tables or software for precise calculations.
Transcribed Image Text:**Understanding Probability in Domestic Airfares** The mean cost of domestic airfares in the United States rose to an all-time high of $385 per ticket. This price includes the total ticket value, consisting of the cost charged by airlines plus any additional taxes and fees. Assuming domestic airfares follow a normal distribution with a standard deviation of $115, you can use statistical analysis to determine probabilities related to airfare costs. **Probability Questions:** a. **Probability of a Domestic Airfare $545 or More:** - What is the probability that a domestic airfare is $545 or more? - **Probability:** 0.0821 b. **Probability of a Domestic Airfare $240 or Less:** - What is the probability that a domestic airfare is $240 or less? - **Probability:** 0.1037 c. **Probability of a Domestic Airfare Between $320 and $510:** - What is the probability that a domestic airfare is between $320 and $510? - **Probability:** 0.5775 d. **Cost for the 3% Highest Domestic Airfares:** - What is the cost for the top 3% highest domestic airfares (rounded to the nearest dollar)? - **Conclusion:** $ **or more These analyses help assess the likelihood of different fare prices under the assumption of normal distribution. Use statistical tables or software for precise calculations.
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