Researchers surveyed one hundred students on which superpower they would most like to have. The two-way table below displays data for the sample of students who responded to the survey.
Superpower Male Female TOTAL
Fly 30 {10} 40
Invisibility 12 {32} 44
Other 10 6 16
TOTAL 52 48 100
Given that the student chosen was a female, find the probability that the student chose invisibility as their superpower.

given that the chosen student is a female, the probability that the student chose invisibility as their superpower is 2/3 or 0.67

Step-by-step explanation:

Here we have a question on conditional relative frequency;

                               Males                   Females                     Total

Fly                           30                         10                                40

Invisibility                12                          32                               44

Other                       10                          6                                 16

Total                        52                         48                               100        

Given that the chosen student is a female, the probability that the student chose invisibility as their superpower is found as follow;

Hence we look for the conditional relative frequency of the second row forr females corresponding to invisibility as their preferred super power is therefore;

Conditional relative frequency =

Conditional relative frequency = 2/3

Therefore, given that the chosen student is a female, the probability that the student chose invisibility as their superpower = 2/3.

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.