A coin is flipped 64 times Heads come up 36 times or 56 of t

A coin is flipped 64 times. Heads come up 36 times, or 56% of the time. Assume the coin is fair. What is the probability of getting this many heads, or more, with a fair coin? (You can assume the Central Limit Theorem applies; do not use the binomial probability formula.)

Solution

A coin is flipped 64 times. Heads come up 36 times, or 56% of the time. Assume the coin is fair. What is the probability of getting this many heads, or more, with a fair coin? (You can assume the Central Limit Theorem applies; do not use the binomial probability formula.)

n=64

p=36/64=0.5625

p=0.56

P=0.5 ( assuming fair coin)

standard error = sqrt( P*(1-P)/n)=sqrt(0.5*0.5/64) =0.0625

z=(0.56-0.5)/0.0625 = 0.96

p( p > 0.56)

= P( z >0.96)

=0.1685