For the graph below, find the probability that x falls in the shaded area:Question 19Answera.0.333b.0.222c.0.455

To determine the probability that $x$ falls in the shaded area of the graph, we need to follow these steps:

1. ### Break Down the Problem

Identify the total area under the curve and the area of the shaded region. The probability will be the ratio of the shaded area to the total area.

2. ### Relevant Concepts

The probability $P$ of an event occurring can be calculated using the formula:

$P(A) = \frac{\text{Area of the shaded region}}{\text{Total area under the curve}}$

3. ### Analysis and Detail

• Total Area: Calculate or identify the total area under the graph.
• Shaded Area: Calculate or identify the area of the shaded region.

4. ### Verify and Summarize

Once both areas are determined, verify the calculations and represent them in the probability formula.

Final Answer

Let’s denote the shaded area as $A_s$ and the total area as $A_t$. The probability is then calculated as:

$P(A) = \frac{A_s}{A_t}$

Assuming given options for the shaded area and total area, you will choose the correct probability among them based on your computations. If $A_s$ and $A_t$ are not provided in the problem, the exact numerical answer cannot be derived directly from the options:

• a. $0.333$
• b. $0.222$
• c. $0.455$

Choose the option that corresponds to your calculated probability value.