Assume that the number of watches produced every hour is normally distributed with a mean of 500 and a standard deviation of 100 . what is the probability that in a randomly selected hour the number of watches produced is greater than 500
2 answers:
To evaluate the <span>probability that in a randomly selected hour the number of watches produced is greater than 500 we proceed as follows: z=(x-</span>μ<span>)/</span>σ where: x=500 μ=500 σ=100 thus z=(500-500)/200=0 Thus: P(x>500)=1-P(x<500)=1-P(z<0)=1-0.5=0.5 Answer: 0.5~50%
Answer: 0.5
Step-by-step explanation:
Given : The number of watches produced every hour is normally distributed with a mean of 500 and a standard deviation of 100.
i.e.
Let x be the number of watches produced every hour.
Then, the probability that in a randomly selected hour the number of watches produced is greater than 500 will be :
Hence, the probability that in a randomly selected hour the number of watches produced is greater than 500 =0.5.
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