Mathematics
Mathematics, 28.02.2021 16:10, sullivanjakob

1. Jeannie is an experienced business traveler, often traveling back and forth from San Francisco to the East Coast several times per month. To catch her flights from San Francisco she leaves her office one hour before her flight leaves. Her travel time from her office to the departing gate at the San Francisco airport, including the time to park and go through security screening, is normally distributed with a mean of 46 minutes and a standard deviation of 5 minutes. What is the probability that Jeannie will miss her flight because her total time for catching her plane exceeds sixty minutes? Round your final answer to 4 decimal places. 2. Use the same information about Jeannie in the above problem. What travel time corresponds to the 96th percentile of Jeannie's trips to the airport. Round your final answer to the nearest minute, then input that whole number below.

3. In a busy coffee shop, which is a member of an international chain of coffee shops, 40% of customers order a pastry in addition to their drink. If 20 customers were selected at random during one business day, what is the probability that at least 11 of them did not order a pastry with their drink. Round your answer to 4 decimal places.

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