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-0.15t (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%.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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-0.15t
(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%.
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images
