Questions: In the following probability distribution, the random variable x represents the number of activities a parent of a K to 5th-grade student is involved in. Complete parts (a) through (f) below. x 0 1 2 3 4 P(x) 0.202 0.147 0.233 0.128 0.290 This is a discrete probability distribution because the sum of the probabilities is 1.0 and each probability is between 0 and 1, inclusive. (b) Graph the discrete probability distribution. Choose the correct graph below. A. B. C. D.

In the following probability distribution, the random variable x represents the number of activities a parent of a K to 5th-grade student is involved in. Complete parts (a) through (f) below. x 0 1 2 3 4 P(x) 0.202 0.147 0.233 0.128 0.290 This is a discrete probability distribution because the sum of the probabilities is 1.0 and each probability is between 0 and 1, inclusive. (b) Graph the discrete probability distribution. Choose the correct graph below. A. B. C. D.
Transcript text: In the following probability distribution, the random variable $x$ represents the number of activities a parent of a K to 5 th-grade student is involved in. Complete parts (a) through (f) below. \begin{tabular}{c|c|c|c|c|c} $x$ & 0 & 1 & 2 & 3 & 4 \\ \hline$P(x)$ & 0.202 & 0.147 & 0.233 & 0.128 & 0.290 \end{tabular} This is a discrete probability distribution because the sum of the probabilities is 1.0 and each probability is between 0 and 1 , inclusive. (b) Graph the discrete probability distribution. Choose the correct graph below. A. B. C. D.
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Solution

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Solution Steps

Step 1: Analyze the probability distribution

The probability distribution is given as follows:

x | P(x) ---|--- 0 | 0.202 1 | 0.147 2 | 0.233 3 | 0.128 4 | 0.290

Step 2: Identify the correct graph

The correct graph should represent the probabilities given in the table. The height of each bar should correspond to the probability for each value of x.

  • For x=0, P(x) = 0.202
  • For x=1, P(x) = 0.147
  • For x=2, P(x) = 0.233
  • For x=3, P(x) = 0.128
  • For x=4, P(x) = 0.290

Observing the given graphs, option C correctly represents these probabilities.

Final Answer: The correct answer is C.

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