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
We collect a random sample of 1000 college seniors who complete job applications through the career center. Based on the probability distribution, which result would be surprising?"
a. 14 seniors completed 1 job application through the career centers.

b. 15 seniors completed 2 job applications through the career center.

c. 130 seniors completed 3 job applications through the career center.

Answer 1

Option b

Explanation:

Given that the probability distribution of X, where X is the number of job applications completed by a college senior through the school’s career center.

Expected observed Diff

x p(x) p(x)*1000

0 0.002 2

1 0.011 11 14 -3

2 0.115 115 15 100

3 0.123 123 130 -7

4 0.144 144

5 0.189 189

6 0.238 238

7 0.178 178

1 1000

We find that there is a large difference in 2 job application

Hence option b is right.