Questions: Using the graph of a distribution to find probabilities: Basic A real number between 1 and 11 will be picked according to the probability distribution shown in the figure. Regions under the curve are labeled with A, B, and C. The area of each region is shown in the table. Region Area A 0.15 B 0.45 C 0.40 Use the figure and the table to answer the parts below. (a) Find the probability that a real number between 1 and 4 is picked.

Using the graph of a distribution to find probabilities: Basic A real number between 1 and 11 will be picked according to the probability distribution shown in the figure. Regions under the curve are labeled with A, B, and C. The area of each region is shown in the table. Region Area A 0.15 B 0.45 C 0.40 Use the figure and the table to answer the parts below. (a) Find the probability that a real number between 1 and 4 is picked.
Transcript text: Using the graph of a distribution to find probabilities: Basic A real number between 1 and 11 will be picked according to the probability distribution shown in the figure. Regions under the curve are labeled with $A, B$, and $C$. The area of each region is shown in the table. \begin{tabular}{|cc|} \hline Region & Area \\ \hline$A$ & 0.15 \\ $B$ & 0.45 \\ $C$ & 0.40 \\ \hline \end{tabular} Use the figure and the table to answer the parts below. (a) Find the probability that a real number between 1 and 4 is picked.
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Solution

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Solution Steps

Step 1: Identify the relevant region

The question asks for the probability of picking a number between 1 and 4. This corresponds to region A on the graph.

Step 2: Find the probability

The table shows that the area of region A is 0.15. Since the area under the curve represents probability, the probability of picking a number between 1 and 4 is equal to the area of region A.

Final Answer:

The probability is 0.15.

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