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Licemer1 [7]
4 years ago
5

A Penteria is a special (fictional) kind of bacteria such that, regardless of the original population in a collection, the popul

ation increases by $5$ every minute. Additionally, at the end of every hour, all but the initial ones die. If $137$ Penteria are alive after $506$ minutes, how many were there at the beginning?
Mathematics
1 answer:
Rashid [163]4 years ago
4 0
The answer is 23 because u have to multiply
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The total service time of a multistep manufacturing operation has a gamma distribution with mean 18 minutes and standard deviati
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Answer:

The answer is "\bold{r=9,  \lambda=\frac{1}{2}\ and \ \  \text{exponential, 9 steps}}"

Step-by-step explanation:

In point a:

We are aware of the random gamma variable X:

\to \mathbb{E} =\frac{r}{\lambda}\\\\\to Std(X) =\frac{\sqrt{r}}{\lambda}\\\\

It is given:

\to \mathbb{E} = 18 \\\\\to std(X)=6

\to 18=\frac{r}{\lambda}\\\\ \to 6=\frac{\sqrt{r}}{\lambda}\\\\

Substituting the value:

\to \frac{\sqrt{r}}{6}=\frac{r}{18}\\\\\to r=9\\\\\to \lambda=\frac{1}{2}\\\\

In point b:

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