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Alinara [238K]
3 years ago
12

What is the value of the expression? (5/2)2+3/4^3

Mathematics
2 answers:
wel3 years ago
7 0
<span><span>12</span> + <span>15</span> + <span>45</span> + 1 <span>23</span> = <span>196</span> = 3<span>16</span> ≅ 3.166667</span>
irakobra [83]3 years ago
5 0
Assuming you put this correctly and it's 3/4^3 not 3/(4^3); The answer would be 2.5*2+3/4^3 = 5 + 3/4^3 = 5.42. However, if it's the latter your answer would instead be 5.05.
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That’s it, the probability of getting tail on a single coin toss times the number of observations.

In this case, 1/2 * 72 = 36

However, there’s something called chance error. How much do you expect the result to differ from the expected value? It can be calculated as follows:

The Standard Deviation of this experiment is  √(0.5)(0.5) =0.5

The Standard Error is  √72 (0.5) ≈ 4.18330 round to the nearst tenth is 4

So, the expected value is 36, give or take 4.

And since the number of tails in a toss coin experiment is normally distributed, then you can expect the number of tails to be between -2 and +2 SEs from the expected value 95% of the time.

In other words, if you repeat this experiment a large number of times, you can expect to obtain between 27 and 43 tails 95% of the time.

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