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11a) An airline has an on-time probability of 30%. Let X be the number of flights that take off until one is finally on time. Under what conditions is X a geometric random variable?
11b) Determine the mean (expected value) of X and explain its meaning in context. Calculation should be shown before showing the final answer.
11c) What is the probability that the first on-time flight doesn't occur until the 3rd flight? Calculation should be shown before showing your final answer.
11d) The airline plans on 600 flights taking off in one day. Could you use a Normal model to estimate the probability that 150 or fewer flights take off on time, among 600 flights in a day? Explain by checking the necessary conditions.
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1.) Find the area under the standard normal curves z=1.25
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