Anyone know how to do it
1 answer:
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The probability that at least 40 jobs will be submitted in 15 minutes is <u>0.79162</u>.
The number of jobs submitted per minute follows Poisson Distribution.
A Poisson Distribution over a variable X, having a mean λ, has a probability for a random variable x as .
In the question, we have the random variable x = 40.
The mean λ = Average jobs per minute*time = 3*15 = 45.
We are to find the probability that at least 40 jobs will be submitted in 15 minutes, which is represented as P(X ≥ 40) = P(X > 39).
P(X > 39) = 1 - P(X ≤ 39) = 1 - poissoncdf(45,39)
As to find the probability of a Poisson Distribution P(X ≤ x), for a mean = λ, we use the calculator function poissoncdf(λ,x).
Therefore, P(X > 39) = 1 - 0.20838 = 0.79162.
Therefore, the probability that at least 40 jobs will be submitted in 15 minutes is <u>0.79162</u>.
Learn more about the Poisson Distribution at
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Answer:
12 years.
Step-by-step explanation:
We are asked to find the time it will take to an amount of $1000 to grow to $2000 at a rate of 6% per year.
To find the number of years it will take the amount to double, we will divide 72 by growth rate that is 6% is this case.
Therefore, it will take 12 years for a $1,000 investment to grow to $2,000, assuming the investment grows at 6% per year.