c) The Department of Transportation of a country reported that 80.2% of the country's airline flights arrived on time. One researcher randomly selected 50 airline flights. Let X = the number of flights arriving on time. (i) Does X meet the conditions of a Binomial random variable? Explain your choice in two sentences. (2 Marks) (ii) Calculate the Z-score (to 2 d.p.) for 32 flights arriving on time if the mean is 40 flights and the standard deviation is 2.82. Would you be surprised to learn that 32 flights arrived on time? Use one sentence to explain your answer. (2 Marks)

MATLAB: An Introduction with Applications
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c) The Department of Transportation of a country reported that 80.2% of the country's airline
flights arrived on time. One researcher randomly selected 50 airline flights. Let X = the
number of flights arriving on time.
(i) Does X meet the conditions of a Binomial random variable? Explain your choice
in two sentences.
(2 Marks)
(ii) Calculate the Z-score (to 2 d.p.) for 32 flights arriving on time if the mean is 40
flights and the standard deviation is 2.82. Would you be surprised to learn that 32
flights arrived on time? Use one sentence to explain your answer.
(2 Marks)
Transcribed Image Text:c) The Department of Transportation of a country reported that 80.2% of the country's airline flights arrived on time. One researcher randomly selected 50 airline flights. Let X = the number of flights arriving on time. (i) Does X meet the conditions of a Binomial random variable? Explain your choice in two sentences. (2 Marks) (ii) Calculate the Z-score (to 2 d.p.) for 32 flights arriving on time if the mean is 40 flights and the standard deviation is 2.82. Would you be surprised to learn that 32 flights arrived on time? Use one sentence to explain your answer. (2 Marks)
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