7) An airline knows from experience that the distribution of the number of suitc

Question

7) An airline knows from experience that the distribution of the number of suitcases that get lost each week on a certain route is approximatel during a given week the airline will lose less than 20 suitcases? A) 0.8944 y normal with = 155 and o·36. what is the probability that B) 0.4040 C0.3944 D) 0.1056 8) Find the z-scores for which 90% of the distribution's area lies between-z and z. A) (-1.645, 1.645) B) (2.33,2.33) C) -0.99, 0.99) D) (-1.96, 1.96) 9) Suppose X has a Wiebull distribution with -2 and 6-1000. Determine P(X

Explanation / Answer

7) P(X<20)

P(Z<(20-15.5)/3.6)

P(Z<1.25) = 0.8944 (option (a))

8) 90% distribution of z score = (-1.645,1.645) (option (a))

9) P(X<800) = F(800)

F(800) = 1-e-(800/1000)2 = 0.4727

10) P(X<1500)

P(ln(X)<ln(1500)) = P(Z<2.1566) = 0.9845

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