# A study indicates that the weights of adults are normally distributed with a mean ? of 140 lbs and a standard deviation ? of 25 lbs.What is the probability that a randomly selected adult weighs between 120 and 165 lbs?

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A study indicates that the weights of adults are normally distributed with a mean ? of 140 lbs and a standard deviation ? of 25 lbs.

1. What is the probability that a randomly selected adult weighs between 120 and 165 lbs?

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Step 1

1.

Let X be the weight of adults. X follows normal distribution that has mean µ = 140 and the standard deviation σ = 25. An adult was randomly selected.

Step 2

The probability that a randomly selected adult weight between 120 and 165 is,

Step 3

The value P( X < 165 ) and the value of P( X < 120 ) can be found by the Excel formula, “=NORM.DIST(165,140,25,TRUE)” and “=NORM.DIST(...

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