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Zinaida [17]
3 years ago
11

Based on pretrial speculation, the prob that a jury will return a guilty verdict in a certain high-profile murder case is though

t to be 15% if the defense can discredit the police department, and 80% if they cannot. Veteran court observers believe that the skilled defense attorneys have a 70% chance of convincing the jury that the police either contaminated or planted some of the key evidence. What is the probability that the jury returns a guilty verdict?
Mathematics
1 answer:
IgorLugansk [536]3 years ago
5 0

Answer:

34.5% probability that the jury returns a guilty verdict

Step-by-step explanation:

We have these following probabilities:

The defense attorneys have a 70% chance of convincing the jury that the police either contaminated or planted some of the key evidence.

In this case, there is a 15% probability that the jury will return a guilty verdict.

There is also a 100 - 70 = 30% of not convincing the jury that the police either contaminated or planted some of the key evidence.

In this case, 80% probability of the jury returning a guilty verdict.

What is the probability that the jury returns a guilty verdict?

15% of 70% and 80% of 30%. So

p = 0.15*0.7 + 0.8*0.3 = 0.345

34.5% probability that the jury returns a guilty verdict

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3 years ago
Is 15,36,39 a right triangle
NeTakaya

Answer:

Yes, is a right triangle

Step-by-step explanation:

To know if you can build a right triangle with those sides we have to make the following equality

h² = l1² + l2²

The hypotenuse is always the longest side so it should be 39

we check the equality of the equation

39² = 15² + 36²

1521 = 225 + 1296

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Equality was fulfilled so it is a right triangle

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3 years ago
.25 x .22<br> what is the answer
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Answer:

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Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population pro
Gnom [1K]

Answer:

A sample of 1068 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population proportion?

We need a sample of n.

n is found when M = 0.03.

We have no prior estimate of \pi, so we use the worst case scenario, which is \pi = 0.5

Then

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 1.96\sqrt{\frac{0.5*0.5}{n}}

0.03\sqrt{n} = 1.96*0.5

\sqrt{n} = \frac{1.96*0.5}{0.03}

(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.03})^{2}

n = 1067.11

Rounding up

A sample of 1068 is needed.

8 0
3 years ago
Jack planted 1 1/4 rows of lettuce in the family garden, Rose planted 1 1/2 rows of broccoli and Calvin planted 4 5/12 rows of b
Oksana_A [137]

Solution:

we are given that

Jack planted 1 1/4 rows of lettuce in the family garden.

Rose planted 1 1/2 rows of broccoli and Calvin planted 4 5/12 rows of beans.

we have been asked to find -How many rows were planted in the garden?

To find this , we will add all the numbers of rows planted.

Hence number of rows planted

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3 years ago
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