Answer:
A discrete probability distribution is a probability distribution where the random variable takes on a finite number of distinct values.
Looking at the options provided:
A. X 3 4 5
P(X) 0.40 0.10 0.5
B. X 1 2 3 4
P(X) 1/5 3/10 1/5 3/10
C. X 1 2 3 4
P(X) 0.15 0.35 0.40 0.5
D. X 0 2 4 6
P(X) 1/5 1/5 2/5 1/5
Out of the given options, option A and option C are discrete probability distributions because the random variable X takes on a finite number of distinct values.
Option B is not a discrete probability distribution because the probabilities do not add up to 1.
Option D is also not a discrete probability distribution because the probabilities assigned to the values do not sum up to 1.
Therefore, the correct answer is:
A. X 3 4 5
P(X) 0.40 0.10 0.5
C. X 1 2 3 4
P(X) 0.15 0.35 0.40 0.5
Step-by-step explanation:
A discrete probability distribution is a probability distribution where the random variable takes on a finite number of distinct values.
Looking at the options provided:
A. X 3 4 5
P(X) 0.40 0.10 0.5
B. X 1 2 3 4
P(X) 1/5 3/10 1/5 3/10
C. X 1 2 3 4
P(X) 0.15 0.35 0.40 0.5
D. X 0 2 4 6
P(X) 1/5 1/5 2/5 1/5
Out of the given options, option A and option C are discrete probability distributions because the random variable X takes on a finite number of distinct values.
Option B is not a discrete probability distribution because the probabilities do not add up to 1.
Option D is also not a discrete probability distribution because the probabilities assigned to the values do not sum up to 1.
Therefore, the correct answer is:
A. X 3 4 5
P(X) 0.40 0.10 0.5
C. X 1 2 3 4
P(X) 0.15 0.35 0.40 0.5
