Assume you are flipping an unbiased coin and that the flipping process is entirely random. a psychic claims that he can sense the outcome of each flip. you put him to the test. you flip the coin 6 times and guess what? the psychic correctly calls the outcome each time. if the psychic is really only guessing on each flip, what is the probability of his being correct six out of six times?

Afactory makes propeller drive shafts for ships. a quality assurance engineer at the factory needs to estimate the true mean length of the shafts. she randomly selects four drive shafts made at the factory, measures their lengths, and finds their sample mean to be 1000 mm. the lengths are known to follow a normal distribution whose standard deviation is 2 mm. calculate a 95% confidence interval for the true mean length of the shafts. input your answers for the margin of error, lower bound, and upper bound.

What is the greatest number of parts of a circle that can be formed by cutting the circle with 7 straight cuts? (note: the parts do not have to be equal in size)

Bob the builder is making 480kg of cement mix. this is made by cement, sand and gravel in the ratio 1: 3: 4