SOLUTION: Question 16 1. An airline knows from experience that the distribution of the number of suitcases that get lost each week on a certain route is approximately normal with μ = 1

Algebra ->  Probability-and-statistics -> SOLUTION: Question 16 1. An airline knows from experience that the distribution of the number of suitcases that get lost each week on a certain route is approximately normal with μ = 1      Log On


   

Question 930305: Question 16
1. An airline knows from experience that the distribution of the number of suitcases that get lost each week on a certain route is approximately normal with μ = 15.5 and σ = 3.6. What is the probability that during a given week the airline will lose less than 20 suitcases? Round the answer to the nearest ten-thousandth.

0.4040

0.3944

0.1056

0.8944

None of the above
Found 2 solutions by ewatrrr, stanbon:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
μ = 15.5 and σ = 3.6, z+=+blue%28x+-15.5%29%2Fblue%283.6%29
.......
P( x < 20) = P( z < 4.5/3.6) = normalcdf(-100, 4.5/3.6) = .8944

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
An airline knows from experience that the distribution of the number of suitcases that get lost each week on a certain route is approximately normal with μ = 15.5 and σ = 3.6. What is the probability that during a given week the airline will lose less than 20 suitcases? Round the answer to the nearest ten-thousandth.
----------------
z(20) = (20-15.5)/3.6 = 1.25
P(x < 20) = P(z < 1.25) = normalcdf(-100,1.25) = 0.8944
--------------
Cheers,
Stan H.
---------------