IB Statistics and Probability Problem 010

The weights of children in a group are normally distributed with a mean of \(22.5 kg\) and a standard deviation of \(2.2 kg\).

  1. Write down the probability that a randomly chosen child has a weight greater than \(25.8 kg\).

  2. \(95{\%}\) of the children in this group weigh less than \(k\) kilograms. Find the value of \(k\).

  3. The figure below shows a normal curve.

    On this figure, shade the region that represents the following information:

    \(87{\%}\) of the children weigh less than \(25 kg\).

    image essential to understanding the question
Published by Annie Bernatchez in «Statistics and Probability». Key Words: IB, question