10 points, need these answers filled in!

Step-by-step explanation:

a) If events A and B are independent we have

P(A/B) =P(A)

But here P(A/B) = 0.8 and P(A)=0.2

Hence A and B are not independent.

b) If events A and B are independent we have

P(A/B) =P(A)

But here P(A/B) = 0.6 and P(A)=0.3

Hence A and B are not independent.

c) If events A and B are independent we have

P(A/B) =P(A)

Jere P(A/B) = 0.5 and P(A)=0.5

Hence A and B are  independent.

b. 24 mm

step-by-step explanation:

use the pythagorean theorem.

a^2 + b^2 = c^2

a^2 + 7^2 = 25^2

a^2 + 49 = 625

a^2 = 576

a = 24

answer: b. 24 mm