(a)
To find:The probability that x=15 the cars will arrive between 5:00 PM and 6:00 PM .
The probability that x cars will arrive between 5:00 PM and 6:00 PM is given by,
P(x)=20xe−20x!
Substitute 15 for x in the above expression.
P(15)=2015e−2015!=0.0516≈0.05
Therefore, The probability that x=15 the cars will arrive between 5:00 PM and 6:00 PM is 0.05 .
(b)
To find:The probability that x=20 the cars will arrive between 5:00 PM and 6:00 PM .
Substitute 20 for x in the above expression.
P(1)=2020e−2020!=0.0888≈0.09
Therefore, The probability that x=20 the cars will arrive between 5:00 PM and 6:00 PM is 0.09 .
Precalculus
Calculus & Its Applications (14th Edition)
Calculus: Early Transcendentals (2nd Edition)
Precalculus Enhanced with Graphing Utilities
Precalculus (10th Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)