SOLUTION: On a certain run of a
commuter train, the average number of passengers is 476
and the standard deviation is 22. Assume the variable is
normally distributed. If the train makes t
Algebra.Com
Question 1161600: On a certain run of a
commuter train, the average number of passengers is 476
and the standard deviation is 22. Assume the variable is
normally distributed. If the train makes the run, find the
probability that the number of passengers will be
a. Between 476 and 500 passengers
b. Less than 450 passengers
c. More than 510 passengers
Answer by VFBundy(438) (Show Source): You can put this solution on YOUR website!
a. Between 476 and 500 passengers
z1 = = = 0
Look up 0 on a z-table. The result is 0.5000.
z2 = = = 1.09
Look up 1.09 on a z-table. The result is 0.8621.
Subtract 0.5000 from 0.8621 to get a result of 0.3621.
----------------------------------------------------------------
b. Less than 450 passengers
z = = = -1.18
Look up -1.18 on a z-table. The result is 0.1190.
----------------------------------------------------------------
b. More than 510 passengers
z = = = 1.55
Look up 1.55 on a z-table. The result is 0.9394. This is the probability that FEWER than 510 passengers are on the train. So, the probability that MORE than 510 passengers are on the train is 1 - 0.9394...or, 0.0606.
RELATED QUESTIONS
On the daily run of an express bus, the average number of passengers is 48. The standard... (answered by stanbon)
In response to the increasing weight of airline passengers, the Federal Aviation... (answered by CPhill)
On the daily run of an express bus, the average number of passengers is 48. The... (answered by FrankM)
On the daily run of an express bus, the average number of passengers is 48. The... (answered by stanbon,mikeebsc)
Each day the commuter train transports x passengers to or from the city at... (answered by josmiceli)
A train started is Journey from city hall interchange.At the first stop.2/5 of the... (answered by ankor@dixie-net.com)
A commuter train travels a distance of 4 miles in exactly 3 minutes. What is the average... (answered by checkley77,stanbon,drk)
The number of passengers on the Carnival Sensation during one-week cruises in the... (answered by stanbon)
Traveling between two campuses of a university in a city via shuttle bus takes, on... (answered by CPhill)