The distribution of weights for the population of males in the U.S. is approximately normal with mean ļ = 170 pounds and standard deviation ļ³ = 25 pounds. a) What is the probability that a randomly selected man weighs less than 160 pounds? b) What is the probability that he weighs more than 210 pounds? c) What is the probability that among 4 males selected at random from the population, at least one will have a weight outside the range 160 ā 210 pounds?
Added by Samuel T.
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The z-score formula is: $z = \frac{x - \mu}{\sigma}$ For 160 pounds, the z-score is: $z = \frac{160 - 170}{25} = -0.4$ Now, we look up the area to the left of -0.4 in a standard normal distribution table or use a calculator. The area is approximately Show moreā¦
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