whether they arrive on time. (a) Find the probability that exactly 12 flights arrive on time. (b) Would it be unusual for Southwest to have 15 flights arrive on time? (Enter YES or NO) Give your answer to at least 4 decimal places.
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
![int 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 reate with 80 % of its flights arriving on time. A test is conducted by randomly selecting 20 Southwest flights and observing
whether they arrive on time. (a) Find the probability that exactly 12 flights arrive on time.
(b) Would it be unusual for Southwest to have 15 flights arrive on time?
(Enter YES or NO)
Give your answer to at least 4 decimal places.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa70a12d4-88d2-4e1f-8545-6de24188f77d%2F4a4e359b-799d-42e9-9796-ec317ff789cc%2Fs2kpohj_processed.jpeg&w=3840&q=75)
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