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.

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)