Question

students were given a fitness test in gym class, and were required to perform push-ups for two minutes. the assignment of probabilities for the different outcomes is shown in the table.

\

$$\begin{tabular}{|c|c|c|c|c|} \\hline \\# of push-ups & < 14 & 15 - 29 & 30 - 44 & > 45 \\\\ \\hline probability & ? & 0.74 & 0.12 & ? \\\\ \\hline \\end{tabular}$$

the gym coach randomly selects a student. assuming the probabilities of selecting a student who can do fewer than 14 pushups and selecting a student who can do more than 45 pushups are the same, what is the value of the missing probabilities?

Explanation:

Set up the probability equation

$$
LATEXBLOCK0
$$

Solve for the unknown probability

$$
LATEXBLOCK1
$$

Answer:

• 0.25
• 0.33
• 0.14
• 0.07 (Correct answer)