The rates of on-time flights for commercial jets are continuously tracked by the U.S. department of transportation. Recently, southwest air had the best rate with 85% of its flights arriving on time. A test is conducted by randomly selecting 11 southwest flights and observing whether they arrive on time.  a) find the probability that at least 7 flights arrive on time b) would it be unusual for southwest to have all 11 flights arrive on time? Yes or no ( unusual here means a chance of less than 20%)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The rates of on-time flights for commercial jets are continuously tracked by the U.S. department of transportation. Recently, southwest air had the best rate with 85% of its flights arriving on time. A test is conducted by randomly selecting 11 southwest flights and observing whether they arrive on time. 
a) find the probability that at least 7 flights arrive on time

b) would it be unusual for southwest to have all 11 flights arrive on time? Yes or no ( unusual here means a chance of less than 20%)

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