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max2010maxim [7]
3 years ago
11

Suppose a binomial event has a probability of success of 0.1, and 750 trials are performed. What is the standard deviation of th

e possible outcomes? Round your answer to two decimal places.
Mathematics
2 answers:
IrinaK [193]3 years ago
3 0
The standard deviation is 8.22
djyliett [7]3 years ago
3 0

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 :-

\sigma=\sqrt{p(1-p)n}, 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 :-

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

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