Need help in statistics class

Mathematics

1 answer:

Bumek [7]3 years ago

6 0

If you need help actually ask a question :l

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The sutton police department must write, on average, 6 tickets a day to keep department revenues at budgeted levels. suppose the

lakkis [162]

The Poisson distribution defines the probability of k discrete and independent events occurring in a given time interval.
If λ = the average number of event occurring within the given interval, then
$P(k \, events) = e^{-\lambda } ( \frac{\lambda ^{k}}{k!} )$

For the given problem,
λ = 6.5, average number of tickets per day.
k = 6, the required number of tickets per day
The Poisson distribution is
$P(k \, tickets/day)=e^{-6.5} ( \frac{6.5 ^{k}}{k!} )$
The distribution is graphed as shown below.

Answer:
The mean is λ = 6.5 tickets per day, and it represents the expected number of tickets written per day.
The required value of k = 6 is less than the expected value, therefore the department's revenue target is met on an average basis.

8 0

3 years ago

If the diameter of a circle changes from 18 cm to 6 cm, how will the circumference change?

olga_2 [115]

The circumference when the diameter is 18 = 18pi

The circumference when the diameter is 6 = 6pi

18pi/6pi=3

The circumference will become a third of what it was.

Hope this helps!

6 0

3 years ago

An equation and the first step in its solution are shown: Equation: x2 + 8x - 9 = 0

Novay_Z [31]

Answer- A-16

Because when doing completing the square, you divide the coefficient of x by 2, which is 4, and the square it which is 16

3 0

3 years ago

Find the linear approximation of f(x)=lnx at x=1 and use it to estimate ln(1.38).

RideAnS [48]

$\bf f(x)=y=ln(x)\qquad 
\begin{cases}
x=1\\
y=ln(1)\to y=0
\end{cases}\\\\
-----------------------------\\\\
\left. \cfrac{dy}{dx}=\cfrac{1}{x} \right|_{x=1}\implies 1\impliedby m
\\\\\\
\textit{now, we know that }
\begin{cases}
x=1\\
y=0\\
m=1
\end{cases}\implies y-0=1(x-1)\implies y=x-1$

now, you're asked to use it when ln(1.38), which is just another way of saying x = 1.38

so set x = 1.38 and see what "y" is

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3 years ago

1/7 / 4 as a fraction

aleksandrvk [35]

1/7/4 is a fraction.

6 0

3 years ago

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