Question

A person with type O blood can donate red blood cells to anybody because type O blood is the universal donor blood type. About 44% of the US population has type O blood. You are asked to design a simulation to determine the probability that at least 3 of 10 people will have type O blood.

Part A: Conduct five trials using the following table of random digits:

96299 07196 98642 20639 23185 56282 69929 14125 38872 94168
71622 35940 81807 59225 18192 08710 80777 84395 69563 86280
03272 41230 81739 74797 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
(5 points)

Part B: Based on your simulation, what is the probability that at LEAST 3 of 10 people will have type O blood? (5 points)

Answer 1

Answer: (b) 0.8

Explanation:

`\\`Assign 00 - 43 to people will have type O blood and assign 44 - 99 to people will not have type O blood

`\\`Trial 1 :

`\\`Blood group O - 4

`\\`Not Blood group O - 6

`\\`Trial 2 :

`\\`Blood group O - 4

`\\`Not Blood group - 6

`\\`Trial 3:

`\\` Blood group - 5

`\\`Not Blood group - 5

`\\`Trial 4:

`\\`Blood group: 5

`\\`Not Blood group - 5

`\\`Trials 5 :

`\\`Blood group - 2

`\\`Not Blood group - 8

`\\`(b) Out of the 5 trials it was in the fifth trial that the number of blood group O is not up to 3,so, the probability that at LEAST 3 of 10 people will have type O blood?

`\\`= 4/5

`\\`= 0.8