Question

examine the following table. 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 probabilites is more than one. c. no, because the sum of the probabilites is more than one. d. no, because the sum of the probabilites is less than one. please select the best answer from the choices provided

Explanation:

Step1: Calculate the sum of probabilities

$$\begin{align*} \sum P(x)&=0.2 + 0.3+0.4 + 0.1+0.05\\ &=1.05 \end{align*}$$

Step2: Check the condition for probability distribution

For a table to be a probability distribution, the sum of all probabilities \(P(x)\) must be equal to \(1\). Here, \(\sum P(x)=1.05> 1\)

Answer:

C. No, because the sum of the probabilities is more than one.