Determine whether the distribution is a probability distribution. x 0 1 2 3 4 5 P(x) StartFraction 1 Over 25 EndFraction one fifth one half three fourths StartFraction 1 Over 50 EndFraction StartFraction 1 Over 100 EndFraction Is the probability distribution a discrete distribution? Why? Choose the correct answer below. A. No comma because some of the probabilities have values greater than 1 or less than 0. B. Yes comma because the distribution is symmetric. C. Yes comma because the probabilities sum to 1 and are all between 0 and 1 comma inclusive. D. No comma because the total probability is not equal to 1. Click to select your answer and then click Check Answer.

D. No comma because the total probability is not equal to 1.

Step-by-step explanation:

Given the distribution:

The sum of the probabilities

Therefore, the distribution is not a probability distribution because the total probability is not equal to 1.

The correct option is D.

Question 1:

For this case we have that by definition, the GCF of two numbers is the largest number that is a factor of both numbers. For example, the number 10 is the biggest factor that 50 and 30 have in common.

We must find the GCF of the following expression:

We look for the prime factorization of each number:

The GCF of the three numbers is

So:

Option C

Question 2:

For this case we have that by definition of power properties of the same base, that:

That is, for multiplication of powers of the same base, the same base is placed and the exponents are added.

So:

Option A