The manager of a gas station has observed that the times required by drivers to fill thier car's tank and pay are quite variable
. In fact, the times are exponentially distributed with a mean of 7.5 minutes. What is the probability that a car can complete the transaction in less than 5 minutes?
Since the average time it takes car drivers to fill their tanks is exponentially distributed at 7.5 minutes, we can elaborate an exponential formula to calculate the number of times a gas tank can be filled in a certain period of time:
e⁻ˣ/ⁿ
e = 2.718
x = 5 minutes
n = 7.5 minutes
= 2.718⁻⁵/⁷°⁵ = 0.5134
now, the probability that a driver can fill his/her tank in less than 5 minutes = 1 - 0.5134 = 0.4865 or 48.65%
At the gas station the manager perceived that to fill up the tank and payment done by the driver are having variable time. In this circumstance, the intervals are exponentially dispersed with an average of 7.5 minutes.
In this request, the constraint A is the facility time, which is distinct as the average number of facility time per minute.
Let X signify the business interval of a car.
Given the facility intervals are exponentially disseminated with an average of 7.5 minutes.
µ = 1/ʎ= 7.5 min
⇒ ʎ= 1/7.5 min
To compute the probability that car complete transaction less then 5 min
The total deductible amount of these expenditures is $450.
Explanation:
Half of any cost of meals and entertainment to which business discussion is associated and appropriate records kept is allowed to be deducted.
Since it is only tickets to the opera with a client following a business meeting that meet this condition, 50% of the total amount of $900 which is $450 is deductible.
A monopoly exists when one business is the sole or almost sole supplier of a good or service within a market. This potentially allows the business to become dominant enough to prohibit rivals from entering the marketplace resulting in minimal consumer choice, higher prices, and reduced response to customer requests.
The correct answer to the given question is b. Difficult. The word which describes the quality or intensity of verb is known as an adverb. The word Difficult is an adverb as it clarifies the measures the verb which is data base conversion project. Stealthiness is an adjective, the word Overwhelming is a verb and Data-Entry is also a noun.
Initiative is an important quality because it proves that you want to do your job or task successfully and independently. Lack of initiative shows laziness and/or low confidence in one's skills.
