(a) Find the probability that the specimen contains type O blood or comes from the Hawaiian-Chinese ethnic group. Show your (b) What is the probability that the specimen contains type AB blood, given that it comes from the Hawai- ian ethnic group? Show your work. (c) Are the events “type B blood" and “Hawaiian ethnic group" independent? Give appropriate statistical evidence to support your answer. work.

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AP2.23 There are four major blood types in humans: O,
A, B, and AB. In a study conducted using blood
specimens from the Blood Bank of Hawaii, indi-
viduals were classified according to blood type and
ethnic group. The ethnic groups were Hawaiian,
Hawaiian-White, Hawaiian-Chinese, and White.
Suppose that a blood bank specimen is selected at
random.
Ethnic Group
Blood
Hawaiian- Hawaiian-
type
Hawaiians
White
Chinese
White
Total
1903
4469
2206
53,759
62,337
A
2490
4671
2368
50,008
59,537
В
178
606
568
16,252
17,604
АВ
99
236
243
5001
5579
Total
4670
9982
5385
125,020
145,057
(a) Find the probability that the specimen contains
type O blood or comes from the Hawaiian-Chinese
ethnic group. Show your work.
(b) What is the probability that the specimen contains
type AB blood, given that it comes from the Hawai-
ian ethnic group? Show your work.
(c) Are the events "type B blood" and "Hawaiian
ethnic group" independent? Give appropriate
statistical evidence to support your answer.
(d) Now suppose that two blood bank specimens are
selected at random. Find the probability that at
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Transcribed Image Text:AP2.23 There are four major blood types in humans: O, A, B, and AB. In a study conducted using blood specimens from the Blood Bank of Hawaii, indi- viduals were classified according to blood type and ethnic group. The ethnic groups were Hawaiian, Hawaiian-White, Hawaiian-Chinese, and White. Suppose that a blood bank specimen is selected at random. Ethnic Group Blood Hawaiian- Hawaiian- type Hawaiians White Chinese White Total 1903 4469 2206 53,759 62,337 A 2490 4671 2368 50,008 59,537 В 178 606 568 16,252 17,604 АВ 99 236 243 5001 5579 Total 4670 9982 5385 125,020 145,057 (a) Find the probability that the specimen contains type O blood or comes from the Hawaiian-Chinese ethnic group. Show your work. (b) What is the probability that the specimen contains type AB blood, given that it comes from the Hawai- ian ethnic group? Show your work. (c) Are the events "type B blood" and "Hawaiian ethnic group" independent? Give appropriate statistical evidence to support your answer. (d) Now suppose that two blood bank specimens are selected at random. Find the probability that at 返回第397 页
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