Answer:
About 160 people weigh more than 165 pounds.
Step-by-step explanation:
The measured weights of 1,000 men in a certain village follow a normal distribution with a mean of 150 pounds and a standard deviation of 15 pounds.
We know that,
[tex]z=\dfrac{X-\mu}{\sigma}[/tex]
where,
X = raw score = 165
μ = mean = 150
σ = standard deviation = 15
Putting the values,
[tex]z=\dfrac{165-150}{15}=\dfrac{15}{15}=1[/tex]
Finding the value of probability for z=1, from z score table,
[tex]P(z<1)=0.84=84\%[/tex]
Hence, 84% of total men will weigh less than 165 pounds. So 16% of men will be more than 165 pounds, i.e
[tex]1000\times \dfrac{16}{100}=160[/tex]
