Question

3. (20%) An American roulette wheel is spun 3900 times in order to test if it is fair. Suppose that each of the 36 numbered slots {1,2,...,36} comes up exactly 100 times and each of "0" and "00" comes up 150 times. At ? = 5%, test if the wheel is fair (i.e., each slot has a probability of 1/38). [?²_{0.05,39} = 54.5722, ?²_{0.05,38} = 53.3835, ?²_{0.05,37} = 52.1923].

Name: 3. (20%) An American roulette wheel is spun 3900 times in order to test if it is fair. Suppose that each of the 36 numbered slots {1,2,...,36} comes up exactly 100 times and each of "0" and "00" comes up 150 times. At ? = 5%, test if the wheel is fair (i.e., each slot has a probability of 1/38). [?²{0.05,39} = 54.5722, ?²{0.05,38} = 53.3835, ?²{0.05,37} = 52.1923].
Uploaded: 2024-05-16T19:15:05-08:00
Duration: 2 min 34 s
Channel: Ivan Kochetkov
Description: 3. (20%) An American roulette wheel is spun 3900 times in order to test if it is fair. Suppose that each of the 36 numbered slots {1,2,...,36} comes up exactly 100 times and each of "0" and "00" comes up 150 times. At ? = 5%, test if the wheel is fair (i.e., each slot has a probability of 1/38). [?²{0.05,39} = 54.5722, ?²{0.05,38} = 53.3835, ?²{0.05,37} = 52.1923].

          3. (20%) An American roulette wheel is spun 3900 times in order to test if it is fair. Suppose that each of the 36 numbered slots {1,2,...,36} comes up exactly 100 times and each of "0" and "00" comes up 150 times. At ? = 5%, test if the wheel is fair (i.e., each slot has a probability of 1/38). [?²_{0.05,39} = 54.5722, ?²_{0.05,38} = 53.3835, ?²_{0.05,37} = 52.1923].

3. (20%) An American roulette wheel is spun 3900 times in order to test if it is fair. Suppose that each of the 36 numbered slots {1,2,...,36} comes up exactly 100 times and each of "0" and "00" comes up 150 times. At ? = 5%, test if the wheel is fair (i.e., each slot has a probability of 1/38). [?²{0.05,39} = 54.5722, ?²{0.05,38} = 53.3835, ?²{0.05,37} = 52.1923].

Added by Neeraj S.

Algebra and Trigonometry

James Stewart, Lothar Redlin, Saleem… 3rd Edition

Chapter 14

Instant Answer

Solved by Expert Ivan Kochetkov

05/16/2024

Step 1

A fair American roulette wheel has 38 slots: numbers 1 to 36, and the slots "0" and "00". Each slot should have an equal probability of appearing, which is \( \frac{1}{38} \). The wheel is spun 3900 times, and we have the results for each slot. We need to Show more…

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