Question

a college professor asked his psychology students to complete a personality test. he paid special attention to his students career goals and their greatest fears. what is the probability that a randomly selected student has a fear of heights and wants to be a therapist? simplify any fractions.

Explanation:

Step1: Calculate the total number of students

The total number of students is \(4 + 5+2 + 3=14\).

Step2: Identify the number of students with the desired characteristics

The number of students who have a fear of heights and want to be a therapist is \(3\).

Step3: Calculate the probability

The probability \(P\) is given by the formula \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). So \(P = \frac{3}{14}\).

Answer:

\(\frac{3}{14}\)