450,930 views
42 votes
42 votes
(04.01 HC)

A person with type A blood can donate red blood cells to people with type A or type AB
blood. About 31% of the US population has type A blood. You are asked to design a
simulation to determine the probability that at least 4 of 10 people will have type A blood.
Part A: Conduct five trials using the following table of random digits: (5 points)
96299 07196 98642 20639 23185 56282
94168
86280
59225
69929 14125 38872
18192 08710 80777 84395 69563
70406 18564 69273 72532 78340 36699
46376 58596 14365 63685 56555 42974 72944 96463 63530 24152
47352 04266 74017 79319 70170 96572 08523 56025 89077 57678
71622 35940 81807
03272 41230 81739
74797
Part B: Based on your simulation, what is the probability that at LEAST 4 of 10 people will
have type A blood? (5 points)

User Kushalbhaktajoshi
by
2.9k points

2 Answers

13 votes
13 votes

Final answer:

The probability that at least 4 out of 10 people will have type A blood is 0.6.

Step-by-step explanation:

To determine the probability that at least 4 of 10 people will have type A blood, we can simulate the situation using the given random digits. Starting from the beginning of the random digits, we count the number of times the digits '3' and '1' appear, as these represent type A and type AB blood. We consider a count of '3' or '4' as a person having type A blood. The total number of counts greater than or equal to 4 divided by the total number of trials (10 in this case) will give us the probability.

The five trials using the given random digits yield the following counts: 3, 2, 4, 3, and 3. Out of the five trials, three trials have counts greater than or equal to 4. Therefore, the probability of getting at least 4 out of 10 people with type A blood is 3/5 or 0.6.

User Andriy Tylychko
by
2.9k points
18 votes
18 votes

Answer:31%

Step-by-step explanation:

User Cozyss
by
2.9k points