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2 answers:
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Answer:
0.2081 = 20.81% probability that at least one particle arrives in a particular one second period.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
Over a long period of time, an average of 14 particles per minute occurs. Assume the arrival of particles at the counter follows a Poisson distribution. Find the probability that at least one particle arrives in a particular one second period.
Each minute has 60 seconds, so
Either no particle arrives, or at least one does. The sum of the probabilities of these events is decimal 1. So
We want . So
In which
0.2081 = 20.81% probability that at least one particle arrives in a particular one second period.
Answer:
Step-by-step explanation:
Given:
For every 1/2 of an hour that the turtle is crawling, he can travel 3/20 of a mile
Question asked:
At what unit rate is the turtle crawling?
Solution:
As here<u> time taken is given</u> and the <u>distance traveled is also given </u>and hence we will apply speed and distance formula to find rate of crawling of turtle.
Time taken by turtle =
Distance which can be traveled by turtle =
Therefore, the rate at which the turtle is crawling is