Mathematics, 05.05.2020 17:43 loopysoop5035

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.

Answers: 3

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Answers

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 = $\frac{Frequency \ of \ Specific \ interest}{Total \ frequency \ of \ Condition \ of \, interest } = \frac{32}{48} = \frac{2}{3}$

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.

Answer from: Quest

the required function is $y=-x+4$ .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{4-7}{)}=\frac{-3}{3}=-1$

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

$y=mx+b$

where, m is slope and b is y-intercept.

$y=-1x+4$

$y=-x+4$

therefore the required function is $y=-x+4$ . the graph of this function is shown below.

Answer from: Quest

yes

step-by-step explanation:

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Researchers surveyed one hundred students on which superpower they would most like to have. The two-...