An ancient roman coin is found and a curious anthropologist wishes to determine if the coin is fair— fair meaning that when flipped, it has a 50% chance of landing one way or the other. the anthropologist flips the coin 100 times and the coin comes up heads 72 times. do you believe the coin is fair? what range of results would you expect if the coin was indeed fair?

The coin is not fair.

Step-by-step explanation:

We have been given that an ancient Roman coin was flipped 100 times by an anthropologist and the coin comes up heads 72 times.

Since we know that a fair coin has an equal chance of coming up heads or tails. This means probability of getting heads on one flip is 1/2 or 50%. Let us find probability of heads in anthropologist's experiment.

Since the probability of getting heads in anthropologist's experiment is 0.72 or 72%, therefore, the coin is not fair. If the coin was indeed fair we would expect approximately getting 50 heads in 100 flips.

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.