The mean and standard deviation of a random variable, if American Airlines flights from Dallas to Chicago are on-time 80% of the time, is 80 and 16 respectively.
Mean is a measurement of a probability distribution's central tendency along the median and mode. It also goes by the name "anticipated value."
Given:
American Airlines flights from Dallas to Chicago are on-time 80% of the time,
p = 80% or 0.80,
Thus, the number of flights that are not on time, q = 1 - p
q = 1 - 0.80 = 0.2
Number of flights, n = 100
Calculate the mean as shown below,
[tex]Mean = np[/tex]
Mean = 100 × 0.80 = 80
Calculate the standard deviation as shown below,
[tex]\sigma = npq[/tex]
σ = 100 × 0.80 × 0.20
σ = 16
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