What is the probability of earning a score of 3 or higher on a standardized test?

[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. 0.26
B. 0.36
C. 0.62
D. 0.66



Answer :

To determine the probability of earning a score of 3 or higher, we need to sum the probabilities of scoring a 3, 4, or 5.

Given the probabilities for each score:
- Probability of scoring a 3 is [tex]\(0.26\)[/tex]
- Probability of scoring a 4 is [tex]\(0.21\)[/tex]
- Probability of scoring a 5 is [tex]\(0.15\)[/tex]

Now, let's add these probabilities together:

[tex]\[ \text{Probability of earning a score of 3 or higher} = \text{Probability of 3} + \text{Probability of 4} + \text{Probability of 5} \][/tex]

Substituting the values, we get:

[tex]\[ \text{Probability of earning a score of 3 or higher} = 0.26 + 0.21 + 0.15 \][/tex]

Summing them up:

[tex]\[ 0.26 + 0.21 = 0.47 \][/tex]
[tex]\[ 0.47 + 0.15 = 0.62 \][/tex]

Thus, the probability of earning a score of 3 or higher is [tex]\(0.62\)[/tex].

Therefore, the correct answer is [tex]\(0.62\)[/tex].