6. The following table shows the inventory a blood bank. Fill in all the Totals

Question

6. The following table shows the inventory a blood bank. Fill in all the Totals AB Totals Rh Positive Rh Negative Totals 152 26 131 41 12 23 Find the following probabilities from randomly selected blood donations without replacement a) Calculate P(At least one Type AB from 4 draws)- b) Calculate P(Type O or Rh-Positive)- c) Calculate P(Getting a Type B, given it's Rh-Negative)- d) Calculate P(Getting a Rh-Positive, given it's Type O)- 7a. A small padlock has the letters A through K on it. How many possible 3-letter combinations are there with no repeats? 7b. How many possible combinations are there if the 3 letters can be repeated? 8. Determine the probability distributions' missing values. Give exact fractions 5 17 2 5 19 17 12 23 62 31 124 P(x) P) 57 57 1

Explanation / Answer

a) P(at least one type AB in o4 draws)=1-P(no AB in 4 draws) =1-(382/397)*(381/396)*(380/395)*(379/394)

=0.143293

b)P(type O or Rh+) =(178+336-152)/397=0.9118

c) P(type B|Rh-) =9/91 =0.1475

d) P(Rh positive|type O) =152/178 =0.8539

7) total letters from Ato K =11

hence possible combination without repeat =11*10*9=990

7b) with repeat combinations =11*11*11 =1331

8) as sum of probability =1

for1 st table missing probability =1-(5/57+17/57+2/19+5/19)=14/57

for 2nd table missing probability = 1-(17/62+12/31+23/124)= 19/124

O A B AB Total Rh + 152 131 41 12 336 Rh - 26 23 9 3 61 Total 178 154 50 15 397

Related Questions

Navigate

• Browse (All)
• Browse 6
• Subjects

---

---

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