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Answer :
The probability that a randomly selected adult weighs between 120 and 165 lbs is approximately 0.8186.
Since the weights of adults are normally distributed with a mean of 140 lbs and a standard deviation of 25 lbs, we can use the standard normal distribution to calculate the probability.
We first need to standardize the values using the formula: z = (x - μ) / σ, where x is the weight, μ is the mean, and σ is the standard deviation.
For x = 120 lbs, z = (120 - 140) / 25 = -0.8, and for x = 165 lbs, z = (165 - 140) / 25 = 1.0. We can then use a calculator to find the probability between -0.8 and 1.0, which is approximately 0.8186.
Thus, the chance of picking an adult at random who weighs between 120 and 165 lbs is roughly 0.8186.
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