Over the years, parking has become an issue during spring at MSU as more people bring cars to campus. The waiting time to find a parking spot at Wells Hall parking lot is normally distributed wi average of 11.60 minutes and a standard deviation of 3.20 minutes during peak hours (10 am - 5 pm). 1) What proportion of waiting times are between 6.6 and 13.4 minutes? Enter your answer to 4 decimal places. 2) What proportion of waiting times are less than 4.2 minutes? Enter your answer to 4 decimal places. 3) You reach Wells Hall parking lot and your class starts in 13 minutes. What is the chance that you are late to class, that is, waiting time is at least 13 minutes? Enter your answer to 4 decimal places.

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em
ponts Over the years, parking has become an issue during spring at MSU as more people bring cars to campus. The waiting time to find a parking spot at Wells Hall parking lot is normally distributed with
average of 11.60 minutes and a standard deviation of 3.20 minutes during peak hours (10 am - 5 pm).
1) What proportion of waiting times are between 6.6 and 13.4 minutes? Enter your answer to 4 decimal places.
2) What proportion of waiting times are less than 4.2 minutes? Enter your answer to 4 decimal places.
3) You reach Wells Hall parking lot and your class starts in 13 minutes. What is the chance that you are late to class, that is, waiting time is at least 13 minutes? Enter your answer to 4 decimal places.
4) Based on your unpleasant experiences in the past you know that your waiting time is in the top 10%. What is the cutoff for the top 10% of waiting times? Enter your answer to 4 decimal places.
5) What is the waiting time for the 27 th percentile? Enter your answer to 4 decimal places.
Note: You can earn partial credit on this problem.
Transcribed Image Text:em ponts Over the years, parking has become an issue during spring at MSU as more people bring cars to campus. The waiting time to find a parking spot at Wells Hall parking lot is normally distributed with average of 11.60 minutes and a standard deviation of 3.20 minutes during peak hours (10 am - 5 pm). 1) What proportion of waiting times are between 6.6 and 13.4 minutes? Enter your answer to 4 decimal places. 2) What proportion of waiting times are less than 4.2 minutes? Enter your answer to 4 decimal places. 3) You reach Wells Hall parking lot and your class starts in 13 minutes. What is the chance that you are late to class, that is, waiting time is at least 13 minutes? Enter your answer to 4 decimal places. 4) Based on your unpleasant experiences in the past you know that your waiting time is in the top 10%. What is the cutoff for the top 10% of waiting times? Enter your answer to 4 decimal places. 5) What is the waiting time for the 27 th percentile? Enter your answer to 4 decimal places. Note: You can earn partial credit on this problem.
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