The standard deviation of the proportion of times that it lands point up out of 100 tosses be, 16
Given, the chance that a certain type of thumbtack lands point up when you toss it in the air is 80%.
we have to find the standard deviation of the proportion of the given data that it lands point up out of 100 tosses.
Number of trials be, 100
probability of success be, 80/100 = 0.8
On using the formula of Standard deviation, we get
standard deviation = n×p×(1 - p)
standard deviation = 100×0.8×(1 - 0.8)
standard deviation = 100×0.8×0.2
standard deviation = 16
So, the standard deviation of the proportion of times that it lands point up out of 100 tosses be, 16
Hence, the standard deviation of the proportion of times that it lands point up out of 100 tosses be, 16
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