1.A Department of Transportation report about air travel found that nationwide, 76% of all flights are on time. Base the following questions on 125 randomly selected flights. You may assume the only outcomes are that a flight is either late or is on time. (For all probabilities round to tenth of a percent ) a) How many flights would you expect to be late ? b) Calculate the standard deviation ? (round to hundredths) c) What is the probability you will have exactly 80 flights on time ? d) What is the probability you will have 20 or less flights that are late ? e) What is the probability you will have more than 100 on time ?
Added by Jonathan M.
Step 1
76 = 0.24) by the total number of flights (125). Expected late flights = 0.24 * 125 = 30 b) To calculate the standard deviation, we can use the formula for the standard deviation of a binomial distribution: σ = √(n * p * (1-p)), where n is the number of trials Show more…
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