Is the following a probability distribution? Yes or No x P(x) 0 0.15 1 0.32 2...

Question

Question

Is the following a probability distribution? Yes or No

math Statistics-And-Probability

Answer 1

Answer #1

A probability requires that the sum of probabilities be equal to 1. If it is lesser than 1 or greater 1, then it is not a probability distribution.

Here, Sum[P(x)] = 0.15 + 0.32 + 0.23 + 0.32 = 1.02 which is greater than and hence, NO. It cannot be classified as a probability distribution.

Answer 2

Similar Homework Help Questions

Consider the probability distribution shown below. x 0 1 2 P(x) 0.05 0.80 0.15 Compute the...

Consider the probability distribution shown below. x 0 1 2 P(x) 0.05 0.80 0.15 Compute the expected value of the distribution. Compute the standard deviation of the distribution. (Round your answer to four decimal places.)
Consider the probability distribution shown below. x 0 1 2 P(x) 0.35 0.50 0.15 a. Compute...

Consider the probability distribution shown below. x 0 1 2 P(x) 0.35 0.50 0.15 a. Compute the expected value of the distribution. b. Compute the standard deviation of the distribution. (Round your answer to four decimal places.)
Find the standard deviation for the given probability distribution. X P(x) 0 0.15 1 0.17 2...

Find the standard deviation for the given probability distribution. X P(x) 0 0.15 1 0.17 2 0.11 ಟ 0.33 4 0.24 O 1.94 O 1.45 O 1.39 O 2.72

x P(x) 0 0.3 1 0.15 2 0.05 3 0.5 Find the mean of this probability...

x P(x) 0 0.3 1 0.15 2 0.05 3 0.5 Find the mean of this probability distribution. Round your answer to two decimal places.
et be a random variable with the following probability distribution: Value of -2 0.15 -1 0.15...

et be a random variable with the following probability distribution: Value of -2 0.15 -1 0.15 0 0.15 1 0.10 2 0.30 3 0.15 Find the expectation and variance of . (If necessary, consult a list of formulas.) E (x)= Var (X)=
X 0 P(x) 0.05 0.15 0.3 1 2 3 0.5 Find the mean of this probability...

X 0 P(x) 0.05 0.15 0.3 1 2 3 0.5 Find the mean of this probability distribution. Round your answer to one decimal place. Question Help: Video Message instructor Submit Question

Find the standard deviation for the given probability distribution. х P(x) O 0.15 1 0.17 2...

Find the standard deviation for the given probability distribution. х P(x) O 0.15 1 0.17 2 0.11 3 0.33 4 0.24 O 1.94 O 1.45 O 1.39 0 2.72
Consider the following discrete probability distribution. 15 34 40 Pix-x) 0.15 0.33 0.29 0.23 a. Is...

Consider the following discrete probability distribution. 15 34 40 Pix-x) 0.15 0.33 0.29 0.23 a. Is this a valid probability distribution? Yes, because the probabilities add up to 1. ONo, because the gaps between x values vary b. What is the probability that the random variable X is less than 38? (Round your answer to 2 decimal places c. What is the probability that the random variable X is between 10 and 25? (Round your answer to 2 decimal places.)...
The distribution described by the table below a valid probability distribution. (b) x 0 1 2...

The distribution described by the table below a valid probability distribution. (b) x 0 1 2 P(x) 0.24 0.63 0.23 TrueFalse.

What is the mean and standard deviation of this probability distribution? x: 0. 1. 2. &n

What is the mean and standard deviation of this probability distribution? x: 0. 1. 2. 3. 4. 5. 6. p(x): 0.10, 0.18, 0.23. 0.25. 0.14. 0.07. 0.03