Probability in Airline Flights

Anonymous
timer Asked: Oct 24th, 2017
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Question description

In 2005, 74% of all airline flights were on-time. If we choose a simple random sample of 2000 flights, find the probability that (be as accurate as the proper process allows) (a) at least 77% of the sample's flights were on time: 1 (b) at most 1420 of the sample's flights were on time: 2 (c) the sample proportion of on-time flights (p-hat) differs from the truth by more than thee percent (0.03):

Tutor Answer

jesusale932
School: Carnegie Mellon University

Here is my answer :)

Probability in Airline Flights – Homework Help
In 2005, 74% of all airline flights were on-time. If we choose a simple random sample of
2000 flights, find the probability that (be as accurate as the proper process allows)
(a) at least 77% of the sample’s flights were on time
At least denote “≥”
𝑃(𝑝̂ ≥ 0.77) = 1 − 𝑃(𝑝̂ ≤ 0.77)
𝑃(𝑝̂ ≥ 0.77) = 1 − 𝑃(𝑧 ≤

𝑃(𝑝̂ ≥ 0.77) = 1 − 𝑃(𝑧 ≤

0.77 − 𝑃
√𝑃(1 − 𝑃)
𝑛

)

0.77 − 0.74
√(0.74)(1 − ...

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