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# If a fair coin is tossed 100 times, the probability that one gets at least 61 heads is given by the following.

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The following exercise is designed to be solved using technology such as calculators or computer spreadsheets.
If a fair coin is tossed 100 times, the probability that one gets at least 61 heads is given by the following.

This is the p-value if you toss 100 coins and get 61 heads. Use technology to calculate this number. Round your answer to three decimal places.

Mar 8, 2018

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OK, young person! Here is your result:

0.5^100*∑[100! / ((61+n)!(39-n)!)], n=0 to 38 =0.0176001 x 100 =1.76001%

By the way, that is the accurate probability of getting at least 61 Heads in 100 coin flips.

Mar 8, 2018
edited by Guest  Mar 8, 2018
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Thank you sir for your help! On my homework the answer was 0.018 because they wanted in decimal form rounded three places.

Guest Mar 9, 2018
edited by Guest  Mar 9, 2018
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The following exercise is designed to be solved using technology such as calculators or computer spreadsheets.
If a fair coin is tossed 100 times, the probability that one gets at least 61 heads is given by the following.

This is the p-value if you toss 100 coins and get 61 heads. Use technology to calculate this number. Round your answer to three decimal places.

With calculator texas instrument TI-89:

$$\begin{array}{|rcll|} \hline P(X\ge61) &=& 1 -\text{ binomcdf }(100,0.5,60) \\ &=& 1 - 0.98239989989 \\ &=& 0.01760010011 \\ &\approx& 0.018 \\ \hline \end{array}$$

With internet calculator: see link: http://stattrek.com/online-calculator/binomial.aspx

Mar 9, 2018