QuestionWhat is the probability that a randomly selected student from 65 in a Film Production course is a Senior?

Studdy Solution

STEP 1

Assumptions1. The total number of students in the Film Production course is65. The number of Freshmen is263. The number of Sophomores is144. The number of Juniors is115. The number of Seniors is146. One student is selected at random

STEP 2

First, we need to understand the concept of probability. Probability is defined as the number of favorable outcomes divided by the total number of outcomes.
$Probability = \frac{Number\, of\, favorable\, outcomes}{Total\, number\, of\, outcomes}$

STEP 3

In this case, the favorable outcome is the event that the chosen student is a Senior. The total number of outcomes is the total number of students.

STEP 4

Now, plug in the given values for the number of favorable outcomes (number of Seniors) and the total number of outcomes (total number of students) to calculate the probability.
$Probability = \frac{Number\, of\, Seniors}{Total\, number\, of\, students}$

STEP 5

Plug in the values for the number of Seniors and the total number of students.
$Probability = \frac{14}{65}$

STEP 6

Calculate the probability.
$Probability = \frac{14}{65} \approx0.2154$

STEP 7

To express the probability as a percentage, multiply the decimal value by100.
$Probability\, (\%) =0.2154 \times100$

STEP 8

Calculate the probability percentage.
$Probability\, (\%) =0.2154 \times100 =21.54 \%$ The probability that the chosen student is a Senior is approximately21.54%, which is closest to option B22%.

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