The chef at a school cafeteria asked students whether they like peas. for the students surveyed, are liking peas and being male independent or dependent events? justify your answer
a.) dependent;
p(likes peas) =39%
p(male/likes peas) =54%
since these probabilities are not equal, the events are dependent.
b.) dependent;
p(likes peas) =39%
p(likes peas/male) = 42%
since these probabilities are not equal, the events are dependent.
c.) independent;
p(likes peas) =39%
p(likes peas/male) =42%
since these probabilities are not equal, the events are independent.
d.) independent;
p(likes peas) =39%
p(male/likes peas) =54%
since these probabilities are not equal, these events are independent.

Option B

Step-by-step explanation:

Given:

total No. of students liking peas= 78

total no. of male students= 100

total number of students= 200

no. of male students liking peas= 42

Now we need to find are liking peas and being male independent or dependent events

P(likes peas)= 78/00

                    =0.39

                    =39%

P(likes peas/male) = 42/100

                                = 42%

as the two probabilities are not equal the two events are dependent.

Hence option B is correct: Dependent;

since these probabilities are not equal, the events are dependent!

B

Step-by-step explanation:

In the Dependent case  the following relation must be satisfied:

p(a|b) = p(a∩b)/p(b)

Or, in terms of this problem:

p(like peas|male) = p(like peas∩male)/p(male)

The probabilities of this events are:

p(like peas|male) = 42/100 = 42%

p(like peas∩male) = 42/200 = 21%

p(male) = 100/200 = 50%

Therefore, the events are dependent

In the Independent case  the following relation must be satisfied:

p(a|b) = p(a)

or

p(like peas|male) = p(like peas)

p(like peas) = 78/200 = 39%

The equation is not satisfied.

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)

b

2

−

b

b

3

+

7

b

2

+

14

b

+

6

%

−

3

b

3

+

7

b

2

+

14

b

+

6

%

step-by-step explanation: