lll Is tile probability of this happening? 8.- A statistics class has 8 American

Question

lll Is tile probability of this happening? 8.- A statistics class has 8 American students, 10 Asian Students, 7 African Students and 5 Euro- pean students. If a committe of five people will be forin from this class, what is the probability that the members will be (a) Two American and two African a d one Europcarn (b) Four American (c) At least one European 9. True/False section (a) If E 0. (b) If A and B are independent then P(AnB) 0 (c) The median and Q2 are the same. (d) If A and B are mutually exclusive then P(An B) 1 (e) If P(A) 0.7, then P(A). (f) The median and the midrange could be the same. (s) If A and B are independent then P(A)B) P(A) (h) For any two events P(AnB) 2 P(A). 6) If A and B are independent then P(AU B) P(A)+ P(B) P(A)P(B)

Explanation / Answer

#8.
8 - American
10 - Asian
7 - African
5 - European

5 students from above 30 can be selected in 30C5 ways

a)
2 American can be selected in 8C2, 2 African can be selected in 7C2 and 1 European can be selected in 5C1 ways

required probability = (8C2 * 7C2 * 5C1)/30C5 = 0.0206

b)
4 american can be selected in 8C4 and remaining 1 can be selected in 22C1 ways

Required probability = (8C4 * 22C1)/30C5 = 0.0108

c)
consider an event such that no European is selected, this can be done in 25C5

Required probability = 1 - 25C5/30C5 = 0.6272

#9.
a) True
CV = sd/mean, if mean = 0 then CV = infinity i.e. greater than zero

b) False
P(A and B) = P(A)*P(B) .. if A and B are independent

c) True
Both represent 50th percentile of data

d) False
P(A and B) = 0 ... if A and B are mutually exclusive

e) False
P(A') = 1 - P(A)

Related Questions

Navigate

• Browse (All)
• Browse L
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.