Question

In: Statistics and Probability

Shortly after the introduction of a new​ coin, newspapers published articles claiming the coin is biased....

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 least

8181

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 is

nothing.

​(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.

Solutions

Expert Solution

Answer: ---- Date: ----19/03/2019


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