Can someone solve this using Microsoft Excel and use Poisson probability distribution. Airline passengers arrive randomly and independently at the passenger screening facility at a major international airport. The mean arrival rate is 10 passengers per minute. What is the probability of no arrivals in a 1-minute period? What is the probability of 3 or fewer arrivals in a 1-minute period? What is the probability of no arrivals in a 15-second period? What is the probability of at least 1 arrival in a 15-second period?
Can someone solve this using Microsoft Excel and use Poisson probability distribution. Airline passengers arrive randomly and independently at the passenger screening facility at a major international airport. The mean arrival rate is 10 passengers per minute. What is the probability of no arrivals in a 1-minute period? What is the probability of 3 or fewer arrivals in a 1-minute period? What is the probability of no arrivals in a 15-second period? What is the probability of at least 1 arrival in a 15-second period?
Can someone solve this using Microsoft Excel and use Poisson probability distribution. Airline passengers arrive randomly and independently at the passenger screening facility at a major international airport. The mean arrival rate is 10 passengers per minute. What is the probability of no arrivals in a 1-minute period? What is the probability of 3 or fewer arrivals in a 1-minute period? What is the probability of no arrivals in a 15-second period? What is the probability of at least 1 arrival in a 15-second period?
Can someone solve this using Microsoft Excel and use Poisson probability distribution.
Airline passengers arrive randomly and independently at the passenger screening facility at a major international airport. The mean arrival rate is 10 passengers per minute.
What is the probability of no arrivals in a 1-minute period?
What is the probability of 3 or fewer arrivals in a 1-minute period?
What is the probability of no arrivals in a 15-second period?
What is the probability of at least 1 arrival in a 15-second period?
Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
Expert Solution
Step 1
(1)
Obtain the probability of no arrivals in a 1-minute period.
The probability of no arrivals in a 1-minute period is obtained below as follows:
The required probability is,
Use Excel to obtain the probability value for x equals 0.
Follow the instruction to obtain the P-value:
Open EXCEL
Go to Formula bar.
In formula bar enter the function as“=POISSON”
Enter the value of x as 0.
Enter the mean as 10.
Enter the cumulative as false.
Click enter.
EXCEL output:
From the Excel output, the P-value is 0.0000
The probability of no arrivals in a 1-minute period is 0.0000
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