The relative growth rate for a certain type of fungi is 70% per hour. A small culture has formed and in just 6 hours the count s
1 answer:
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Answer:
a)
b) f(2) = 0.04462
c) f(1) = 0.01487
d)
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 successes
e = 2.71828 is the Euler number
is the mean in the given interval.
In this question:
a. Write the appropriate Poisson probability function.
Considering
b. Compute f (2).
This is P(X = 2). So
So f(2) = 0.04462
c. Compute f (1).
This is P(X = 1). So
So f(1) = 0.01487.
d. Compute P(x≥2)
This is:
In which:
Then
So