Suppose the round-trip airfare between boston and orlando follows the normal probability distribution with a mean of $387.20 and a standard deviation of $68.50. what is the probability that a randomly selected airfare between boston and san francisco will be more than $450?

To get the probability that randomly selected airfare between Boston and San Francisco will be more than $450, we proceed as follows:

the z-score is given by:

z = (x-μ) / σ

thus the z-score for our information will be:

z = (450-387.20) / 68.50

z=0.9168

hence our probability will be:

P (X>x) = 1-P (z)

P (z) = 0.8212

thus

P (X>x) = 1-0.8212=0.1788~17.88%