Answers Probability and Statistics with Applications Honors Sem-2-FL-1210300 2024-2025 Unit Test — Unit testQuestion 15

15

QuizMultiple Choice

Unit Test — Unit test

Question 15 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)

Suppose that 71% of the surface of the Earth is covered in water, and a random number generator uses latitude and longitude to select a random location on the Earth. If 7 such locations are generated, what is the probability that the first 5 locations are in water and the last 2 locations are on land?

Answer

A

0.0010

B

0.0152

C

0.0910

D

0.9090

Explanation

Each location has a 0.71 probability of being in water and a 0.29 probability of being on land. For the specified order, multiply the probabilities: 0.71^5 × 0.29^2 ≈ 0.0152. Therefore, the probability is about 0.0152, choice B.

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