A) The dishwasher uses the most energy.

B) The coffee maker produces heat which is a useful form of energy. The machine also produces sound which is an unwanted form of energy. This coffee maker has a voltage of 230V.

C) The power rating (W) is 230 times larger than the current used (A).

3 0

3 years ago

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