SOLUTION: BMI in children is approximately normally distributed with a mean of 24.5 and a standard deviation of 6.2. 1) a BMI between 25 and 30 is considered overweight, what proportion of

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Question 669602: BMI in children is approximately normally distributed with a mean of 24.5 and a standard deviation of 6.2. 1) a BMI between 25 and 30 is considered overweight, what proportion of children are overweight? 2) A a BMI of 30 or more is considered obese, what proportion of children are obese? 3) In a random sample of 10 children, what is the probability that their mean BMI exceeds 25?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

μ = 24.5  σ = 6.2

P(25>x<30) = P(z+%3C=%2830-24.5%29%2F6.2%29) -  P(z+%3C=+%2825-24.5%29%2F6.2%29)

P(x>30) = 1 - P(z+%3C=+%2830-24.5%29%2F6.2%29)

3) In a random sample of 10 children...

P(x >25) = 1 - P(z%3C=+%2825-24.5%29%2F%286.2%2Fsqrt%2810%29%29%29)