Examine the following table. x 1 2 3 4 5 P (x) 0.2 0.3 0.4 0.1 0.05 Does this table represent a probability distribution? Explain your answer. a. Yes, because the sum of the probabilites is less than one. b. Yes, because the sum of the probabilities is more than one. c. No, because the sum of the probabilities is more than one. d. No, because the sum of the probabilities is less than one.

No, the given table does not represent a probability distribution. Because the sum of the probabilities is more than one.

Answer: Option C

Step-by-step explanation:

A discrete probability distribution shows all possible values that a variable can take along with its probability. Has the following functions:

Each value of a single random variable has a probability of 0 to 1, i. e. 0 ≤ P (x) ≤ 1. The sum of all chances to win is 1, so sum (P (x)) = 1.

If the given probability distribution is correct then the sum of probability should be equal to 1.

P (1) = 0.2

P (2) = 0.3

P (3) = 0.4

P (4) = 0.1

P (5) = 0.05

Sum of given probabilities, P (x) = 0.2 + 0.3 + 0.4 + 0.1 + 0.05 = 1.05 > 1

So, the sum of all given probabilities is 1.05 which is more than 1. Hence, the correct is C.

Yes, because the sum of the probabilities in the table is 1.