50 points

which of the following can be determined from the table above?
a.

events b and c are independent.
b.

events d and a are independent.
c.

events c and a are independent.
d.

events e and b are independent.

Option 'B' is correct.

Step-by-step explanation:

Since we have given that

P(A) = 0.5

P(B) = 0.5

P(C) = 0.15

P(D) = 0.7

P(E) = 0.15

We need to find the independent events.

When we consider,

P(A∩D) = P(Event A and Event D) = 0.35

and

P(A) × P(D) = 0.7 × 0.5 = 0.35

We get that

P(A∩D)= P(A) × P(D) = 0.35

All other options are not satisfying the conditions of "Independent events".

Hence, Option 'B' is correct.

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are

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