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sashaice [31]
2 years ago
6

Guys its my birthday and ill be thankful if someone would help < 3

Mathematics
2 answers:
MAXImum [283]2 years ago
3 0

✔️ all real numbers

#VerifiedAnswer

RideAnS [48]2 years ago
3 0
<h3>Domain is the set of all x values</h3>
  • To find the range of the set we will put each value as x and record the results in a set I.e. range which is set of y values..

\large\purple{\sf{f(x)=-2}}

\begin{gathered}\\ \sf\longmapsto f(x)=2^{x}-1\end{gathered}

\begin{gathered}\\ \sf\longmapsto f(x)=2^{-2}-1\end{gathered}

\begin{gathered}\\ \sf\longmapsto f(x)=\frac{1}{2^{2}}-1\end{gathered}

\begin{gathered}\\ \sf\longmapsto f(x)=\frac{1}{4}-1\end{gathered}

\begin{gathered}\\ \sf\longmapsto f(x)=-\frac{3}{4}\end{gathered}

\begin{gathered}\\ \sf\longmapsto ⚘=-0.75\end{gathered}

\large\pink{\sf{f(x)=0}}

\begin{gathered}\\ \sf\longmapsto f(x)=2^{0}-+\end{gathered}

\begin{gathered}\\ \sf\longmapsto f(x)=0-1\end{gathered}

\begin{gathered}\\ \sf\longmapsto ⚘=0\end{gathered}

\large\blue{\sf{f(x)=3}}

\begin{gathered}\\ \sf\longmapsto f(x)=2^{3}-1\end{gathered}

\begin{gathered}\\ \sf\longmapsto f(x)=8-1\end{gathered}

\begin{gathered}\\ \sf\longmapsto ⚘=7\end{gathered}

Hence, The set of y values or range of the function is {-0.75,0,7}

<h2><u>______________________</u></h2>

<h2>♥️Happy birthday!!</h2>
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The number of messages arriving at a multiplexer is a Poisson random variable with mean 15 messages/second. Use the central limi
Mila [183]

Answer:

0.048 is the probability that more than 950 message arrive in one minute.

Step-by-step explanation:

We are given the following information in the question:

The number of messages arriving at a multiplexer is a Poisson random variable with mean 15 messages/second.

Let X be the number of messages arriving at a multiplexer.

Mean = 15

For poison distribution,

Mean = Variance = 15

\text{Standard Deviation} = \sqrt{\text{Variance}} = \sqrt{15} = 3.872

From central limit theorem, we have:

z = \displaystyle\frac{x-n\mu}{\sigma\sqrt{n}}

where n is the sample size.

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P(x > 950)

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P(x > 950) = 1 - 0.952 = 0.048

0.048 is the probability that more than 950 message arrive in one minute.

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