Write down the probability that a randomly chosen tree has a height greater than ${\text{3.42 m}}$.

Write down the probability that a randomly chosen tree will be within 2 standard deviations of the mean of ${\text{3.42 m}}$.

Use your graphic display calculator to calculate the probability that a randomly chosen tree will have a height greater than ${\text{3.35 m}}$.

The probability that a particular tree is less than $x$ metres high is $0.65$. Find the value of $x$.

$0.5{\text{ }}\left( {50\% ,{\text{ }}\frac{{50}}{{100}},{\text{ }}\frac{1}{2}} \right)$     (A1)     (C1)

[1 mark]

$0.954 (0.954499…, 95.4\%, 95.4499…\%)$     (A1)     (C1)

Note: Accept $95\%$ or $0.95$.

[1 mark]

     (M1)

Note:     Accept alternative methods.

$0.631 (0.630558…, 63.1\%, 63.0558…\%)$     (A1)     (C2)

[2 marks]

     (M1)

Note: Accept alternative methods.

$3.50{\text{ }} (3.50091...)$     (A1)     (C2)

[2 marks]