A fair coin is flipped three times, and the number of times it comes up "heads” is recorded. Have the conditions for a binomial setting been met for this scenario?

No, this is a fair coin.
Yes, all four conditions in BINS have been met.
No, the coin flips are not independent of one another.
No, the coin needs to be flipped until “heads” appears. The number of trials needed to get “heads” should be recorded.

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).