Question

Consider the probability distribution of x, where x is the number of job applications completed by a college senior through the school’s career center. x 0 1 2 3 4 5 6 7 p(x) 0.002 0.011 0.115 0.123 0.144 0.189 0.238 0.178 (a) what is the probability the number of job applications completed by a randomly selected college senior who uses the career center is at most 6

Answer 1

The probability that a randomly selected college senior has completed at most 6 job applications is 0.822 or 82.2%.

Step-by-step explanation:

The student is asking about calculating the cumulative probability for a discrete random variable that represents the number of job applications completed by a college senior. To find the probability that the number of job applications completed is at most 6, we need to sum the probabilities of completing 0, 1, 2, 3, 4, 5, and 6 applications, based on the given probability distribution p(x). So, we would calculate P(x ≤ 6) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4) + P(x = 5) + P(x = 6). Using the provided probabilities, we get P(x ≤ 6) = 0.002 + 0.011 + 0.115 + 0.123 + 0.144 + 0.189 + 0.238 = 0.822. Hence, the probability is 0.822, or 82.2%.