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What is the probability of earning a score lower than 3?

[tex]\[
\begin{tabular}{|c|c|c|c|c|c|}
\hline Score & 1 & 2 & 3 & 4 & 5 \\
\hline Probability & 0.18 & 0.20 & 0.26 & 0.21 & 0.15 \\
\hline
\end{tabular}
\][/tex]

A. 0.20
B. 0.26
C. 0.38
D. 0.64


Sagot :

To determine the probability of earning a score lower than 3 on the standardized test, we need to consider the probabilities of achieving each relevant score. In this context, "lower than 3" means scoring either a 1 or a 2.

Let's break down the probabilities given in the table:

- The probability of scoring a 1 is 0.18.
- The probability of scoring a 2 is 0.20.

We add these probabilities together to find the total probability of scoring lower than 3:

[tex]\[ P(\text{Score} < 3) = P(\text{Score} = 1) + P(\text{Score} = 2) = 0.18 + 0.20 = 0.38 \][/tex]

Therefore, the probability of earning a score lower than 3 on the standardized test is [tex]\(0.38\)[/tex]. Hence, the correct answer is:

[tex]\[ 0.38 \][/tex]