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 200200 times and gotten 108108 headsminus−that's 5454% heads. a )font size decreased by 1a) use the normal model to approximate the binomial to determine the probability of spinning a fair coin 200200 times and getting at least 108108 heads. b )font size decreased by 1b) 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) 0.12924

(b) Taking into consideration significance level of 0.05 yet the value of p is greater than 0.05, it suggests that the coin is fair hence the coin can be used at the beginning of any sport event.

Explanation:

(a)

n=200 for fair coin getting head, p= 0.5

Expectation = np =200*0.5=100

Variance = np(1 - p) = 100(1-0.5)=100*0.5=50

Standard deviation,

Z value for 108,

P( x ≥108) = P( z >1.13)= 0.12924

(b)

Taking into consideration significance level of 0.05 yet the value of p is greater than 0.05, it suggests that the coin is fair hence the coin can be used at the beginning of any sport event.

can you make it more obvious. i can't see it properly