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horsena [70]
3 years ago
14

4% of the lightbulbs produced at Shady Stan's lightbulb factory are defective. An inspector visits the factory and randomly grab

s 200 lightbulbs. Find the mean and standard deviation.
Mathematics
1 answer:
Neporo4naja [7]3 years ago
7 0

Answer: Mean = 8 and standard deviation is 2.77

Step-by-step explanation:

The mean and standard deviation for a binomial distribution is given by :-

\text{Mean}=np\\\\\text{Standard deviation}=\sqrt{np(1-p)}, where n is the sample size and p is the probability of getting success.

Given : The proportion of the lightbulbs produced at Shady Stan's lightbulb factory are defective: p=0.04

Sample size : n=200

Then , the mean and standard deviation for a binomial distribution is given by :-

\text{Mean}=200\times0.04=8\\\\\text{Standard deviation}=\sqrt{200(0.04)(0.96)}=2.7712812921approx2.77

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