Answer:
SAA
Step-by-step explanation:
HOPE IT HELPS YOU IN YOUR LEARNING PROCESS.
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) =
=
= 
= <u>0.63</u>
Answer:
14
Step-by-step explanation:
Because you do 2.50 times 30 and that is 75. Next you do 110 - 75 and that is equal to 35. Next you divide 35 by 2.50 and you get 14.
Answer:
c+p = 53
2.5c+1.5p = 105.5
p = 27
c= 26
Mrs. Johnson earned 65
Mr Smith earned 40.5
Mrs Johnson earned 24.50 more
Step-by-step explanation:
Let c = cookies sold
p = popcorn sold
The number of items sold is 53
c+p = 53
The total cost of the items sold is 105.50
The number of cookies sold times 2.50 plus the number of popcorn sold times 1.50 = 105.50
2.5c+1.5p = 105.5
System of equations:
c+p = 53
2.5c+1.5p = 105.5
Multiply the second equation by 10 to clear the decimals
10 *(2.5c+1.5p) = 10*105.5
25c+15p = 1055
Divide by 5
25c/5 +15p/5 = 1055/5
5c+3p =211
Multiply equation 1 by -5
-5(c+p)=-5*53
-5c-5p=-265
Add the equations
5c+3p =211
-5c-5p=-265
---------------------
-2p = -54
Divide by -2
-2p/-2 = -54/-2
p = 27
Now we need to find c
c+p = 53
c+27 = 53
Subtract 27 from each side
c+27-27 = 53-27
c= 26
Mrs. Johnson earned the number of cookies times 2.5
c* 2.5
26*2.5 =65
Mr Smith earned the number of popcorn times 1.5
p*1.5
27*1.5
40.5
Mrs Johnson earned 65-40.5 = 24.50 more