In: Statistics and Probability
Shortly after the introduction of a new coin, newspapers published articles claiming the coin is biased. The stories were based on reports that someone had spun the coin
150150
times and gotten
8181
headsminus−that's
5454%
heads.
a right parenthesis font size decreased by 1 a) |
Use the Normal model to approximate the Binomial to determine
the probability of spinning a fair coin
150150 times and getting at least8181 heads. |
b right parenthesis font size decreased by 1 b) |
Do you think this is evidence that spinning this new coin is unfair? Would you be willing to use it at the beginning of a sports event? Explain. |
a right parenthesis font size decreased by 1 a) |
The probability of spinning at least
8181 heads isnothing. |
(Round to four decimal places as needed.) |
b right parenthesis font size decreased by 1 b) |
Do you think this is evidence that spinning this new coin is unfair? Would you be willing to use it at the beginning of a sports event? Explain. |
A.The probability is
fairly highfairly high,
so it is likely that
the coin is fairthe coin is fair.
It would probably
bebe
alright for a sporting event, but it would be good to see more trials to be sure.
B.The probability is
fairly highfairly high,
so
the coin is fairthe coin is fair.
It would definitely
bebe
alright for a sporting event.
C.The probability is
fairly lowfairly low,
so
the coin is biasedthe coin is biased.
It would definitely
not benot be
alright for a sporting event.
D.The probability is
fairly lowfairly low,
so it is likely that
the coin is biasedthe coin is biased.
It would probably
not benot be
alright for a sporting event, but it would be good to see more trials to be sure.