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Elden [556K]
2 years ago
6

Gavin thinks the equation P = 3 × 4 could be used to find the perimeter for two different

Mathematics
1 answer:
kondaur [170]2 years ago
5 0
This shape is a Rectangle because the sides aren’t even
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Step-by-step explanation:

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Crime and Punishment: In a study of pleas and prison sentences, it is found that 45% of the subjects studied were sent to prison
Gala2k [10]

Answer:

(a) The probability of getting someone who was not sent to prison is 0.55.

(b) If a study subject is randomly selected and it is then found that the subject entered a guilty plea, the probability that this person was not sent to prison is 0.63.

Step-by-step explanation:

We are given that in a study of pleas and prison sentences, it is found that 45% of the subjects studied were sent to prison. Among those sent to prison, 40% chose to plead guilty. Among those not sent to prison, 55% chose to plead guilty.

Let the probability that subjects studied were sent to prison = P(A) = 0.45

Let G = event that subject chose to plead guilty

So, the probability that the subjects chose to plead guilty given that they were sent to prison = P(G/A) = 0.40

and the probability that the subjects chose to plead guilty given that they were not sent to prison = P(G/A') = 0.55

(a) The probability of getting someone who was not sent to prison = 1 - Probability of getting someone who was sent to prison

      P(A') = 1 - P(A)

               = 1 - 0.45 = 0.55

(b) If a study subject is randomly selected and it is then found that the subject entered a guilty plea, the probability that this person was not sent to prison is given by = P(A'/G)

We will use Bayes' Theorem here to calculate the above probability;

    P(A'/G) =  \frac{P(A') \times P(G/A')}{P(A') \times P(G/A') +P(A) \times P(G/A)}      

                 =  \frac{0.55 \times 0.55}{0.55\times 0.55 +0.45 \times 0.40}

                 =  \frac{0.3025}{0.4825}

                 =  <u>0.63</u>

6 0
3 years ago
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