Exponential Probability Between 5:00 PM and 6:00 PM, cars arrive at Jiffy Lube at the rate of 9 cars per hour (0.15 car per minute). This formula from probability can be used to determine the probability that a car will arrive within t minutes of 5:00 PM: F ( t ) = 1 − e − 0.15 t (a) Determine the probability that a car will arrive within 15 minutes of 5:00 PM (that is, before 5:15 PM). (b) Determine the probability that a car will arrive within 30 minutes of 5:00 PM (before 5:30 PM). (c) What value does F approach as t becomes unbounded in the positive direction? (d) Graph F using a graphing utility. (e) Using INTERSECT, determine how many minutes are needed for the probability to reach 60 % .
Exponential Probability Between 5:00 PM and 6:00 PM, cars arrive at Jiffy Lube at the rate of 9 cars per hour (0.15 car per minute). This formula from probability can be used to determine the probability that a car will arrive within t minutes of 5:00 PM: F ( t ) = 1 − e − 0.15 t (a) Determine the probability that a car will arrive within 15 minutes of 5:00 PM (that is, before 5:15 PM). (b) Determine the probability that a car will arrive within 30 minutes of 5:00 PM (before 5:30 PM). (c) What value does F approach as t becomes unbounded in the positive direction? (d) Graph F using a graphing utility. (e) Using INTERSECT, determine how many minutes are needed for the probability to reach 60 % .
Solution Summary: The author calculates the probability of a car arriving between 5.00 PM and 6.00 PM by substituting the above values in the function given.
Exponential Probability
Between 5:00 PM and 6:00 PM, cars arrive at Jiffy Lube at the rate of 9 cars per hour (0.15 car per minute). This formula from probability can be used to determine the probability that a car will arrive within
minutes of 5:00 PM:
(a) Determine the probability that a car will arrive within 15 minutes of 5:00 PM (that is, before 5:15 PM).
(b) Determine the probability that a car will arrive within 30 minutes of 5:00 PM (before 5:30 PM).
(c) What value does
approach as
becomes unbounded in the positive direction?
(d) Graph
using a graphing utility.
(e) Using INTERSECT, determine how many minutes are needed for the probability to reach
.
Solve questions by Course Name (Ordinary Differential Equations II 2)
please Solve questions by Course Name( Ordinary Differential Equations II 2)
InThe Northern Lights are bright flashes of colored light between 50 and 200 miles above Earth.
Suppose a flash occurs 150 miles above Earth. What is the measure of arc BD, the portion of Earth
from which the flash is visible? (Earth’s radius is approximately 4000 miles.)
Chapter 6 Solutions
College Algebra Plus MyLab Math with eText -- Access Card Package (10th Edition) (Sullivan & Sullivan Precalculus Titles)
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