MATH SOLVE

4 months ago

Q:
# 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

Accepted Solution

A:

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%

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%