When individuals in a sample of 150 were asked whether or not they supported capital punishment, the following information was obtained. Do you support capital punishment? Number of individuals Yes 40 No 60 No opinion 50 We are interested in determining whether or not the opinions of the individuals (as to Yes, No, and No Opinion) are uniformly distributed. The expected frequency for each group is?
a) 0.333
b) 0.50
c) 1/3
d) 50

d) 50

Step-by-step explanation:

The frequency, that in this case means absolute frequency, means the total amount of subjects that vote for each candidate (not the proportion, that would correspond to the relative frequency).

If the distribution is uniform and we have 3 categories or classes, the three of them should have the same frequency.

The sample size is: 40+60+50=150.

If we have 3 classes, and the distribution is uniform, we should have a frequency for each class of 150/3=50.

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18