Question

In: Statistics and Probability

CCA has stated in 2017 that 84.3 % of its students are first generation college students....

CCA has stated in 2017 that 84.3 % of its students are first generation college students. Suppose you sample 15 CCA students and ask if they are first generation college students or not, counting the number of first generation students. a. Create a binomial probability distribution (table) for this situation. (Report answers accurate to 4 decimal places.)

BINOMIAL PROBABILITY TABLE:

k P(X = k)

0 8.6795E-13 Correct

1 6.99059E-11 Correct

2 2.627 Incorrect

3 6.1135 Incorrect

4 9.8478E-07 Correct

5 1.16329E-05 Correct

6 0.000104104 Correct

7 0.000718685 Correct

8 0.003858928 Correct

9 0.016115737 Correct

10 0.051919361 Correct

11 0.126716912 Correct

12 0.22679906 Correct

13 0.28102637 Correct

14 0.215564359 Correct

15 0.077163802 Correct

a. What is the probability that 11 students or less are first generation? 0.927270503

b. What is the probability that at least 7 students are first generation ? 0.000835471

c. What is the probability that 4 students will be first generation?

d. What is the probability that between 7-14 students are first generation (including 7 and 14)? 0.922719412 Correct

e. What is the probability that 7 students are NOT first generation?

Expert Solution

k	P(X=k)
0	8.6795E-13
1	6.9906E-11
2	2.6275E-09
3	6.1135E-08
4	9.8478E-07
5	1.1633E-05
6	0.0001041
7	0.00071869
8	0.00385893
9	0.01611574
10	0.05191936
11	0.12671691
12	0.22679906
13	0.28102637
14	0.21556436
15	0.0771638

orchestra answered 1 year ago

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