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.
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.
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