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Nat2105 [25]
3 years ago
9

Suppose a binomial event has a probability of success of 0.3, and 750 trials are performed. What is the standard deviation of th

e possible outcomes? Round your answer to two decimal places.
A. 16.20
B. 12.55
C. 8.22
D. 10.61
Mathematics
2 answers:
stepladder [879]3 years ago
8 0
Hello there. Sorry from last time.

What is the standard deviation of the possible outcomes? Roundyour answer to two decimal places.

<span>B.12.55</span>


krok68 [10]3 years ago
3 0

Answer: B. 12.55

Step-by-step explanation:

Given: In a binomial event , the probability of success = 0.3

i.e. p =0.3

Then, q=1-P=1-03=0.7

The total number of trial performed n= 750

Now, the standard deviation of the proportion is given by :-

\sigma=\sqrt{npq}\\\\\Rightarrow\sigma=\sqrt{750\times0.3\times0.7}\\\\\Rightarrow\sigma=\sqrt{157.5}\\\\\Rightarrow\sigma=12.5499003\approx12.55

Hence, the standard deviation of the possible outcomes = 12.55

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