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andrezito [222]
2 years ago
5

The jury pool for the upcoming murder trial of a celebrity actor contains the names of 100,000 individuals in the population who

may be called for jury duty. The proportion of the available jurors on the population list who are Hispanic is .40. A jury of size 12 is selected at random from the population list of available jurors. Let X = the number of Hispanics selected to be jurors for this jury.
a. What is the expected number of hispanic jurors being on the jury?
b. What is the expected value (or theoretical mean) of a great earthquake off the coast of Oregon in two years?
c. Use the poisson distribution to appropriate the probability that there will be at least one major earthquake in the next two years.
Mathematics
1 answer:
posledela2 years ago
8 0

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Have a Spanish Jury possibility= 0.40

Jury member No. to be chosen= n= 12

Hispanic Juror Expected = np = 12\times 0.40 = 4.8

The jury group will be constituted by Hispanic Jurors 4.8

OR

The binomial distribution defines the behavior of a count variable X, provided:

There are a set number of data points n.

Set n=12

Each perception is independent. This will not affect others if your first juror is selected

One of two results is that each observation ("success" or "failure"). English or not

Each result has the same chance of "success" p. for every p=0.40

Well by the binomial distribution. Mean=E(x)=np=4.8

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nataly862011 [7]

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4 0
3 years ago
In the figure shown, FG is tangent to circle D.
romanna [79]

Answer:

Option B

Step-by-step explanation:

From the figure attached,

Circle D is drawn with the radius = DG or DE

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By theorem,

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Option B will be the correct option.

8 0
3 years ago
F(x) = lnx/x
My name is Ann [436]
f(x) = \frac{lnx}{x}

(a) f'(x) = \frac{d}{dx}[\frac{lnx}{x}]
Using the quotient rule:
f'(x) = \frac{\frac{1}{x} \cdot x - lnx}{x^{2}}
f'(x) = \frac{1 - lnx}{x^{2}}

For maximum, f'(x) = 0;
\frac{1 - lnx}{x} = 0
lnx = 1, x = e

(b) <em>Deduce:
</em>e^{x} \geq x^{e}, x > 0
<em>
Soln:</em> Since x = e is the greatest value, then f(e) ≥ f(x) > f(0)
\frac{ln(e)}{e} \geq \frac{lnx}{x}
\frac{1}{e} \geq \frac{lnx}{x}, since ln(e) is simply equal to 1

Now, since x > 0, then we don't have to worry about flipping the signs when multiplying by x.
\frac{x}{e} \geq lnx
x \geq elnx
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Taking the exponential to both sides will cancel with the natural logarithmic function in the right hand side to produce:
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3 0
3 years ago
lena works for 34 hours from monday to friday at her normal rate of pay ,on saturdays she gets an overtime rate of pay ,the over
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Answer: £ 8

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Total hours Lena works from Monday to Friday = 34 hours

Hours she works on Saturdays = 4

Overtime rate of Saturday = 1.5 times her normal rate

Let x be the normal rate.

Then , Her total earning = 34 x + 4 \times(1.5x) =34x+6x=40x

Since her total earnings for week = £ 320

So,

320=40x\\\\\Rightarrow\ x=\dfrac{320}{40}\\\\\Rightarrow\ x=8

Thus, her normal rate of pay per hour = £ 8

7 0
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5 times the difference between 19 and 13
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