Consider each distribution. Determine if it is a valid probability distribution or not, and explain your answer. (a) x 0 1 2
P(x) 0.25 0.63 0.12
No. The probabilities sum to 1.
No. The probabilities do not sum to 1.
Yes. The probabilities do not sum to 1.
Yes. The probabilities sum to 1.
(b) x 0 1 2
P(x) 0.25 0.63 0.17
No. The probabilities do not sum to 1.
Yes. The probabilities sum to 1.
No. The probabilities sum to 1.
Yes. The probabilities do not sum to 1.

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.

hi there!

question 1 answer: p/q can be terminating when q = 5^m * 2^n

question 2 answer: -1 and -1

question 3 answer: -4

question 4 answer: 5/12

hope this : )