Suppose that E and F are two events and that Upper P left parenthesis Upper E and Upper F right parenthesisequals0.1 and Upper P left parenthesis Upper E right parenthesisequals0.2. What is Upper P left parenthesis F|E right parenthesis?

P(F/E) = 0.5

Step-by-step explanation:

We have the following information:

P(E∩F)=0.1

P(E)=0.2

Additionally, the probability P(A/B) of event A given Event B is calculated as:

P(A/B) = P(A∩B)/P(B)

Now, we want the probability P(F/E), so it is calculated as:

P(F/E) = P(E∩F)/P(E)

Finally, replacing the values we get:

P(F/E) = 0.1 / 0.2

P(F/E) = 0.5

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.