cination clinic for dogs at the local grade school. John hires a technician who can vaccinate a dog every 3 minutes. It is estimated that the dogs will arrive independently and randomly throughout the day at a rate of 1 dog every 6 minutes, according to a Poisson distribution. Also, assume that the vaccinating times are exponentially distributed. John would like to have each waiting dog placed in a cage. a) If John wants to be certain he has enough cages to accommodate all dogs at least 90 percent of the time, how many cages should he prepare? b) John considers an option to h
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.
John is running a rabies vaccination clinic for dogs at the local grade school. John hires a technician who can vaccinate a dog every 3 minutes. It is estimated that the dogs will arrive independently and randomly throughout the day at a rate of 1 dog every 6 minutes, according to a Poisson distribution. Also, assume that the vaccinating times are exponentially distributed. John would like to have each waiting dog placed in a cage.
a) If John wants to be certain he has enough cages to accommodate all dogs at least 90 percent of the time, how many cages should he prepare?
b) John considers an option to hire another technician who can work at the same rate as the existing one. The salary for each technician will be 15$ per hour with 8 working hours per day. The waiting cost in line for dog owners is $40/hour. Should John hire another technician?
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