26. Lots of coins. Suppose we toss 100 fair coins and record the percentage of heads. a. According to the Central Limit Theorem, the percentages of heads resulting from such experiments are approximately normally distributed. Find the mean and standard deviation of this normal distribution. b. What is the z-score for 55 heads? How about 60 heads? c. What percentage of tosses of 100 fair coins would show more than 55 heads? Round your answer to one decimal place as a percentage. € 100 how more than 60 heads? Round your answer to

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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26. Lots of coins. Suppose we toss 100 fair coins and record the percentage of heads.
a. According to the Central Limit Theorem, the percentages of heads resulting from such experiments
are approximately normally distributed. Find the mean and standard deviation of this normal
distribution.
b. What is the z-score for 55 heads? How about 60 heads?
c. What percentage of tosses of 100 fair coins would show more than 55 heads? Round your answer to
one decimal place as a percentage.
35
d. What percentage of tosses of 100 fair coins would show more than 60 heads? Round your answer to
one decimal place as a percentage.
Transcribed Image Text:26. Lots of coins. Suppose we toss 100 fair coins and record the percentage of heads. a. According to the Central Limit Theorem, the percentages of heads resulting from such experiments are approximately normally distributed. Find the mean and standard deviation of this normal distribution. b. What is the z-score for 55 heads? How about 60 heads? c. What percentage of tosses of 100 fair coins would show more than 55 heads? Round your answer to one decimal place as a percentage. 35 d. What percentage of tosses of 100 fair coins would show more than 60 heads? Round your answer to one decimal place as a percentage.
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