Suppose you want to test a coin to see if it is fair or not. You do this by flip

Question

Suppose you want to test a coin to see if it is fair or not. You do this by flipping the coin 40times. You will deem it unfair if the number of heads is unusual. What would be the acceptable range of heads to let the coin pass fair? Assume at first that the coin is fair .
Suppose you want to test a coin to see if it is fair or not. You do this by flipping the coin 40times. You will deem it unfair if the number of heads is unusual. What would be the acceptable range of heads to let the coin pass fair? Assume at first that the coin is fair . Suppose you want to test a coin to see if it is fair or not. You do this by flipping the coin 40times. You will deem it unfair if the number of heads is unusual. What would be the acceptable range of heads to let the coin pass fair? Assume at first that the coin is fair .

Explanation / Answer

mean =np =40*1/2 =20

and std deviation =(np(1-p))1/2 =3.16

here as we know acceptable range is within 2 std deviation from mean

therefore range of acceptable values =(20-2*3.16 ; 20+2*3.16) =(13.68 ; 26.32) ~ (14 to 26)

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