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Suppose a binomial event has a probability of success of 0.1, and 750 trials are performed. What is the standard deviation of the possible outcomes? Round your answer to two decimal places.

Respuesta :

The standard deviation is 8.22
JeanaShupp

Answer: 8.22

Step-by-step explanation:

For any binomial event , the formula to calculate the standard deviation of the possible outcomes is given by :-

[tex]\sigma=\sqrt{p(1-p)n}[/tex], where p is the probability of success and n is the number of trials.

Given: The probability of success p = 0.1

The number of trials = 750

Now, the standard deviation of the possible outcomes will be :-

[tex]\sigma=\sqrt{0.1(1-0.1)750}\\\\\Rightarrow\sigma=8.21583836258\approx8.22[/tex]

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