Question

-59 Points!-

Below, the two-way table is given for a class of students.

^^^^^ (photo attached)

If a student is selected at random, find the
probability the student is a senior given that it's
female. Round to the nearest whole percent.
[?]%

Answer 1

18.75%. Rounding up: 19%

Explanation:

From the table : Total Females = 3+4+6+3 = 16

Number of female seniors = 3

If a student is selected at random find the probability the student is a senior given that it's a female:

P(Female | senior) = number of female seniors / total female = 3/16 = 0.1875

In percent, 3/16 * 100 = 0.1875 * 100 = 18.75%

the probability the student is a senior given that it's a female. = 18.75%, which round to nearest whole percent is 19%.

Answer 2

Solution given:

total female [T]=3+4+6+3=16

n[senior female]=3.

probability the student is a senior given that it's

female:
`(n[senior female])/(total [T])`

:
`(3)/(16)`

:
`(3)/(16)` is a probability.

Now percentage::
`(3)/(16)*100%`=18.75=19%