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his Question: 3 pts 29 of 34 (13 complete) with a mean of 200 cm and a standard deviation of 8 cm. a. Find the probability that an individual distance is greater than 210.00 cm. b. Find the probability that the mean for 15 randomly selected distances is greater than 198.20 cm c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 307 a. The probability is (Round to four decimal places as needed.) b. The probability is (Round to four decimal places as needed.) c. Choose the correct answer below O A. The normal distribution can be used because the finite population comection factor is smal OB. The normal distribution can be used because the mean is large О c. The normal distribution can be used because the original population has a normal distribution O D. The normal distribution can be used because the probability is less than 0 5
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Answer #1

P( 2 5 1- 25)- 0 3 9 435 198.2-,A 2 > 193.2-200 2 そ14 0,8048

(c)

Option C is correct. Because the original population is following the normal distribution.

** If the answers does not match then please comment.

Link to the standard normal table given below

https://www.math.arizona.edu/~rsims/ma464/standardnormaltable.pdf

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