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. # of push-ups < 14 15–29 30–44 > 45 Probability ? 0.74 0.12 ? 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? 0.07 0.14 0.25 0.33

ANSWER

0.007

The value of the missing probabilities is 0.07. The sum of the probabilities in the table is 0.74 + 0.12 + 0.07 + 0.07 = 1.00, which means that the probabilities must add up to 1.00. Since the probability of selecting a student who can do fewer than 14 pushups is the same as the probability of selecting a student who can do more than 45 pushups, the missing probabilities are 0.07 each.