Flap-Your-Wings Airlines flies several times a week from Birmingham to Las Vegas

Question

Flap-Your-Wings Airlines flies several times a week from Birmingham to Las Vegas.  All flights are scheduled to leave Birmingham at6:00 am.  The flight time from Birmingham to Las Vegas is a random variable, which is normally distributed with a mean of 3.52hours and a standard deviation of 0.8 hours.  Use this information to answer the questions that follow.

Let X = the flight time from Birmingham to Las Vegas

What is the probability that the flight time will be shorter than 2.00 hours?  Give answer to four decimal places.

Explanation / Answer

mu = 3.52 hours

sigma = 0.8 hours.

x : flight time from Birmingham to Las Vegas.

x has normal distributation with mean and standard devation as given above.

We have to find probability that the flight time will be shorter than 2.00 hours i.e.

P(x < 2) = P((x - mu) / sig < (2 -3.52) / 0.8)

= P(Z < -1.9)

= 0.0287

P(x < 2) = 0.0287

Probability that the flight time will be shorter than 2.00 hours is 0.0287

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