Questions: Use the table below: x 1 2 3 4 5 --- --- --- --- --- --- P(x) .05 .1 .2 .35 .3 What is P(x<3)? Leave the answer in decimal form to 2 decimal places.

Transcript text: Use the table below: \begin{tabular}{|l|l|l|l|l|l|} \hline x & 1 & 2 & 3 & 4 & 5 \\ \hline $\mathrm{P}(\mathrm{x})$ & .05 & .1 & .2 & .35 & .3 \\ \hline \end{tabular} What is $\mathrm{P}(\mathrm{x}<3)$ ? Leave the answer in decimal form to 2 decimal places.

Solution

Solution Steps

Step 1: Identify the probabilities for $ x < 3 $

From the table, the values of $ x $ that satisfy $ x < 3 $ are $ x = 1 $ and $ x = 2 $. The corresponding probabilities are $ P(x = 1) = 0.05 $ and $ P(x = 2) = 0.1 $.

Step 2: Calculate $ P(x < 3) $

Add the probabilities for $ x = 1 $ and $ x = 2 $: \[ P(x < 3) = P(x = 1) + P(x = 2) = 0.05 + 0.1 = 0.15 \]

Step 3: Round the result to 2 decimal places

The result $ 0.15 $ is already to 2 decimal places, so no further rounding is needed.