A Department of Transportation report about air travel found that, nationwide, 78% of all flights are on time. Suppose a random sample of 50 flights is selected from all nationwide flights that were completed in the past 30 days (over 1000 flights). Let the random variable X be defined as the number of sampled flights that arrived on time.What is the value of the n parameter of the binomial random variable X?
Question
A Department of Transportation report about air travel found that, nationwide, 78% of all flights are on time. Suppose a random sample of 50 flights is selected from all nationwide flights that were completed in the past 30 days (over 1000 flights). Let the random variable X be defined as the number of sampled flights that arrived on time.What is the value of the n parameter of the binomial random variable X?
Solution
The value of the n parameter of the binomial random variable X is 50. This is because n represents the number of trials, or in this case, the number of flights sampled. Since the problem states that a random sample of 50 flights is selected, n is therefore 50.
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