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

To evaluate the probability that in a randomly selected hour the number of watches produced is greater than 500 we proceed as follows:

z = (x - μ) / 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%