Question

Determine the values of the letters to complete the conditional relative frequency table by column.

a =

b =

Answer 1

Values of a and b are:

a=0.1

and b=0.85

Explanation:

As we can clearly see from the table that sum of each column is equal to 1.0

i.e. 0.9+a=1.0

and b+0.15=1.0

Hence, a=1.0-0.9

= 0.1

and b=1.0-0.15

=0.85

Hence, Values of a and b are:

a=0.1

and b=0.85

Answer 2

`a=0.1\\b=0.85`

Explanation:

In this problem we are calculating the relative frequency conditional by columns.

Therefore the sum of the frequencies of each column must be equal to 1.

Then we use this condition to calculate the values of a and b

So:

`0.9 + a = 1\\a = 1-0.9\\a = 0.1`

`b +0.15 = 1\\b = 1-0.15\\b = 0.85`

Finally

`a=0.1\\b=0.85`