Suppose that events e and f are independent, p(e)equals=0.40.4, and p(f)equals=0.90.9. what is the upper p left parenthesis upper e and upper f right parenthesisp(e and f)?

The probability of E and F is 0.367236 ≅ 0.367

Step-by-step explanation:

* Lets study the meaning independent probability  

- Two events are independent if the result of the second event is not

  affected by the result of the first event

- If A and B are independent events, the probability of both events  

 is the product of the probabilities of the both events

- P (A and B) = P(A) · P(B)

* Lets solve the question  

- There are two events E and F

- E and F are independent

- P(E) = 0.404

- P(F) = 0.909

∵ Events E and F are independent

- To find P(E and F) find the product of P(E) and P(F)

∴ P (E and F) = P(E) · P(F)

∵ P(E) = 0.404

∵ P(F) = 0.909

∴ P(E and F) = (0.404) · (0.909) = 0.367236 ≅ 0.367

* The probability of E and F is 0.367236 ≅ 0.367

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3