Question

Determine whether the distribution is a discrete probability distribution. x 0 100 200 300 400 Upper P (x )0 0 0 0 1 Is the distribution a discrete probability​ distribution? A. Yes comma because the sum of the probabilities is equal to 1. B. Yes comma because the sum of the probabilities is equal to 1 and each probability is between 0 and 1 comma inclusive. C. No comma because the sum of the probabilties is not equal to 1. D. No comma because each probability is not between 0 and 1 comma inclusive.

Answer 1

Complete Question

Determine whether the distribution is a discrete probability distribution.

xP(x)

0   0.100

1   0.200

2  0.300

3  0.400

Is the distribution a discrete probability​ distribution?

A. Yes , because the sum of the probabilities is equal to 1.

B. Yes , because the sum of the probabilities is equal to 1 and each probability is between 0 and 1 comma inclusive.

C. No , because the sum of the probabilties is not equal to 1.

D. No , because each probability is not between 0 and 1 comma inclusive.

Answer:

The correct option is B

Step-by-step explanation:

From the question the probabilites are

        $p_1 = 0.100$

        $p_2 = 0.200$

        $p_3 = 0.300$

        $p_4 = 0.400$

The sum of the probability is  

       $\sum p(x) = 0.100 + 0.200+ 0.300+ 0.400 = 1$