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Consider an experiment of tossing a fair coin 100 times and counting the number

ID: 3317448 • Letter: C

Question

Consider an experiment of tossing a fair coin 100 times and counting the number of heads. The probability of getting exactly 56 heads is about 3.9%. The probability of getting any number of heads greater than 56 heads is about 49.6%. What is the best way to characterize a result of 56 heads? How about any result greater than 56 heads?

A. A result of 56 is likely. A result greater than 56 would not be unusual.

B. A result of 56 is unlikely. Any result greater than 56 would be unusual.

C. A result of 56 is unlikely. A result greater than 56 would not be unusual.

D. A result of 56 is likely. Any result greater than 56 would be unusual.

Explanation / Answer

A result of 56 is unlikely because its probability is 0.039 which is less than 0.05 but at the same time, a result greater than 56 is not unusual since its probability is 0.496.

Hence,

Option C is correct.